Shared Formulas (Engineering)

Modified Version of "soo_ Microwave Cooking Time Conversion (Approximate)"

This tool calculates the output voltage based on the input voltage and the resistance values of R1 and R2. In response to user requests, we have added the ability to calculate the voltage across R1. In response to user requests, we have added support for selecting units such as mΩ, Ω, kΩ, and MΩ.

Calculate the resonance frequency of inductance L and capacitance C.

Calculate the characteristic impedance of a microstrip line. (Reference) "Microwave Solid State Circuit Design, 2nd ed.", Bahl and Bhartia, Wiley

Calculate the time constant of an RC circuit.

Battery Life Calculator for Small Batteries [mAh]

Find the inductance of the solenoid coil.

Calculate watts using current and voltage

The temperature characteristics of an NTC thermistor are calculated using the following equation: R = R0 * exp (B * (1/T - 1/T0)) .

Calculation of the skin depth of a conductor

When conducting accelerated testing under high-temperature and high-humidity conditions, we calculate the Hallberg-Peck model, which is based on relative humidity.

Calculate the reactance of the inductance L and capacitance C at a given frequency.

Calculate the characteristic impedance of the stripline. (Reference) "Microwave Solid State Circuit Design, 2nd ed.", Bahl and Bhartia, Wiley

Design an attenuator capable of impedance matching. Select either a π-type or T-type configuration, and enter the attenuation value, input impedance, and output impedance to calculate the three resistance values.

The B-constant of a thermistor is calculated using the formula B = ln(Rb/Ra) / (1/(273.15 + Tb) - 1/(273.15 + Ta)).

Calculation of Power Consumption

Calculate the color bars for the resistor

This tool designs rectangular microstrip antennas. When you enter the substrate's relative permittivity, thickness, and frequency, it calculates the patch width, length, input impedance, directivity, antenna efficiency, and antenna gain.

Convert reflection loss (return loss) to voltage standing wave ratio (VSWR).

Calculate the antenna gain (in dBi) of a waveguide-fed standard gain horn antenna (pyramidal horn). (References) "Antenna Theory Analysis and Design, 2nd ed." , C.A. Balanis, Wiley

The reflection coefficient is calculated from the load impedance and the characteristic impedance. There are two definitions of the reflection coefficient (S-parameter): power waves and traveling waves (pseudo waves), and this calculation supports both. If the characteristic impedance is real, the two values are identical. Note that if the characteristic impedance has an imaginary component, the two values will differ.

Calculate the time it takes for the capacitor to reach n% of the supply voltage

Calculate the current through the series resistor connected to the LED

Complete the fill-in-the-blank calculations for capacitance, current, time, and voltage.

Find the inductance of the toroidal coil.

Calculating Trace Width on Printed Circuit Boards

Enter the real-time clock (32.768 kHz) accuracy to calculate the time error.

Converts noise index [dB] to noise temperature [K].

We calculate the maximum detection range of the radar using the radar equation: Pr = Pt * G² * λ² * σ / [(4π)³ * R⁴].

Calculate the number of turns in a loop antenna. You can calculate the number of turns by entering the following values: minf (minimum receiving frequency in kHz), VCmax (maximum capacitance of the variable capacitor in pF), and msq (area of the loop antenna in square meters). The result will be the number of turns. However, this calculation cannot be used for spider coils or coils with a winding diameter that changes radially.

Calculate the optimal gate resistance value based on the gate voltage, on-time, and gate charge

Convert the voltage standing wave ratio (VSWR) to return loss.

After calculating the characteristic impedance of the microstrip line using the Hammerstad and Jensen models, we computed the conductor loss (including roughness according to the Morgan model) and the dielectric loss, and converted these values to S-parameters while taking the imaginary part of the characteristic impedance into account. With complex characteristic impedance, we can also reproduce the phenomenon where the impedance appears to increase when measured by TDR.

Calculate the output power based on the input voltage to the speaker and the speaker's impedance.

Even at low voltages, electric current flowing through the human body is dangerous. The level of danger varies depending on the current value (body current) and the duration of exposure (contact time). Alternating current (AC) is more dangerous than direct current (DC), and the classification specified in IEC 60479-1 is used for calculation (15–100 kHz).

Calculate the thermal resistance required for a heat sink when used to cool ICs and other components.

Converting electric double-layer capacitors to nominal battery capacity

Calculate the height [H] of a solder ball after it has been melted during reflow. Required Information ・Radius [R] of the solder ball purchased from the manufacturer ・Radius [r] of the pad (the circular area where the solder ball is placed) The formulas for the volume of a sphere and the volume of a sphere with a portion removed are already known. By solving these two formulas, we calculate the height of a solder ball after reflow on a printed circuit board or semiconductor package pad. The solution has a singularity at r=0, in which case R remains at its initial value.

Calculating I2C Bus Pull-Up Resistors

This is the formula for estimating the service life of an electrolytic capacitor. While the definition of the formula varies by capacitor manufacturer, I have included an excerpt from the documentation of a major electrolytic capacitor manufacturer for reference.

Calculate the inductance L and capacitance C corresponding to the frequency and the absolute value of the reactance, respectively.

Calculate the optimal current-limiting resistor based on the supply voltage, the forward voltage of the LED, and the desired current through the LED.

From the E24 series, search for combinations that are close to the given resistance ratio (∈(1, 10)).

When you build a voltage divider circuit using resistors, it becomes easy to calculate the output voltage. Please note that voltage division also has the side effect of limiting current.

This function calculates the parameters m and η, as well as the mean lifetime μ, for the Weibull distribution f(t) = (m/η) * (t/η)^m * exp[-(t/η)^m], which is used to analyze the lifespan of components and other items. The calculation is performed using the same method as a Weibull plot. The reliability is calculated using the median rank. The maximum number of data points is 20.

Calculate the threshold of a single-supply comparator with hysteresis.

Calculate the Joule energy based on the capacitance and voltage of a capacitor

Based on the Steinhart-Hart equation for thermistor temperature characteristics, 1/T = a + b*ln(R) + c*ln(R)^3, this function calculates the parameters a, b, and c when you input the temperature and resistance values at three points.

Calculate the internal resistance of the battery.

The electrical conductivity (resistivity) of a conductor at high frequencies varies with surface roughness. We will perform calculations using three well-known models for this phenomenon: the Hammerstad/Morgan, Groisse, and Huray models.

This is the calculation when n=0. You can use this in SH as well.

Find two resistors in series from the E24 series that have a combined resistance close to the given value.

Converts THD+N from a percentage to decibels.

After calculating the characteristic impedance of the strip line, I calculated the conductor loss (including roughness according to the Morgan model) and the dielectric loss, and converted these values to S-parameters while taking the imaginary part of the characteristic impedance into account. With complex characteristic impedance, it is also possible to reproduce the phenomenon where the impedance appears to increase in a TDR measurement.

Calculate the magnitude of the impedance (in log units) and the phase (in degrees) from the equivalent circuit of a quartz crystal oscillator. The inputs are: Series capacitance C1 Series inductance L1 Series resistance R1 Parallel capacitance C0 Load capacitance Cs as well as the frequency range and units.

Find two resistors in parallel from the E24 series that have a combined resistance close to the given value.

Calculate the baud rate from the value of the BRR register in the H8 SCI. This calculation is for when n = 0.

This is an empirical formula used to predict the service life of multilayer ceramic capacitors (MLCCs) in the market. Ln: Lifetime under normal operating conditions (hours) La: Lifetime under accelerated conditions (hours) Vn: Operating voltage under normal conditions (V) Va: Voltage under accelerated conditions (V) Tn: Operating temperature under normal conditions (°C) Ta: Temperature under accelerated conditions (°C) n: Voltage acceleration factor θ: Temperature acceleration factor

This is the formula for calculating the voltage gain G from Vin and Vout.

Determine the voltage resolution based on the bit depth of the ADC, DAC, and other components.

The input voltage is calculated by specifying the output voltage and the resistance values of R1 and R2.

This is a calculation for setting the gain of an operational amplifier. It applies only to non-inverting circuits.

Calculate the high-frequency impedance of a cylindrical conductor.

Skin depth of copper and resistance of round wire

For the "Triac... RMS" discussion board (with resistive load)

The temperature coefficient of a thermistor is calculated using the equation 1/T = a + b*ln(R) + c*ln(R)^3. (Steinhart-Hart equation)

Wagner

A = (a * c) / (a + b + c); B = (a * b) / (a + b + c); C = (b * c) / (a + b + c);

Thermal noise density due to resistance, etc.

Calculate the power consumed by a resistor based on the current flowing through it

Calculate the current flowing through the LED based on the supply voltage, forward voltage, and current-limiting resistor.

Calculating the cutoff frequency of a first-order R-C filter

Calculating the Output Voltage from the Voltage Divider Resistor at the Ref Pin of the TL431 Series Shunt Regulator

Zin=Zout=R, actual frequency

We will calculate the gain of a differential amplifier using an op-amp. R1 is the input resistance, and R2 is the ground resistance.

Zin=Zout=R, actual frequency

Following the paper "Analytical Expressions for the ... (omitted) of Cylindrical Magnetic Cores" (see related links), we will calculate the apparent relative permeability of a solenoid coil core using the permance method and verify the results graphically.

Calculate the phase difference during generator synchronous connection.

Enter the output current, voltage, and power efficiency to display the power consumption. For thermal calculations of DC-DC converters.

Calculate the CAN communication bit rate

Antenna Gain, Transmit Power, Distance to E, H, B

Calculating the Resonance Frequency of a Second-Order L-C Filter

From the E96 series, search for combinations that are close to the given resistance ratio (∈(1, 10)).

Wagner

Transmission Level (Value, dB, |Coefficient|), Reflection Level (Value, dB, |Coefficient|), VSWR Table

From the E12 series, search for combinations that are close to the given resistance ratio (∈(1, 10)).

Self-inductance of a rectangle made of round wire

Frequency response (linear, dB), reflection (linear, dB), phase, and group delay for stages 3–12

Resonant frequency of an LC resonator

Wagner

This calculates the input impedance when a transmission line with characteristic impedance Zo, length L, effective permittivity εeff, and loss factor α is connected to a load impedance ZL (input as a function of ω).

F-characteristics (linear/dB), reflection (linear/dB), phase, and group delay at the specified band

Self-inductance of a thin wire Circular loop

Most commercially available power banks list their capacity, but in most cases, this refers to the capacity of the built-in lithium-ion battery, not the actual output power. It is generally known that power banks experience power loss due to their step-up circuits, resulting in an efficiency of approximately 70%. On this page, you can calculate the actual output power based on the output voltage and the listed capacity.

From the E48 series, search for combinations that are close to the given resistance ratio (∈(1, 10)).

Converts dB to a multiplier.

Regarding the astable operation of the 555 timer (50% duty cycle), we will calculate the frequency based on the values of the resistor and capacitor.

Wagner

Calculate the S-parameters for a π-type circuit. For the impedance, please enter a function using the angular frequency w. The example shown is a bandpass filter. You can choose between dB and phase displays.

Wagner

Search for combinations from the E96 and E24 series that are close to the given resistance ratio (∈(1, 10)).

Search for combinations from the E192 and E24 series that are close to the given resistance ratio (∈(1, 10)).

Calculate the S-parameters for a T-type circuit. For the impedance, please enter a function using the angular frequency w. The example uses a bandpass filter. You can choose between dB and phase displays.

Based on the conductor's conductivity and AWG rating, calculate the cross-sectional area and the DC resistance per meter.

Calculate power loss.

y-Δ transformation

Approaches to Temperature Control

Converts the op-amp's Avol, displayed in V/mV, to an easy-to-understand dB value.

This tool converts between three types of impedance for T-type and π-type circuits. Complex numbers can also be used for impedance values. The default setting is a 20 dB attenuator.

We will calculate the gain of the inverting amplifier circuit. R1 is the input resistance, and R2 is the feedback resistance.

Calculate the effect of the bias compensation resistor on the offset voltage.

Wagner

LC resonant circuit to measure capacitance

Calculate the regulator's maximum output current based on the allowable loss

Wagner

Search for combinations from the E192 series that are close to the given resistance ratio (∈(1, 10)).

Impedance Matching Z1:Z2 (R1:R2) Z1 > Z2 Z1 to Z2 matching using series R1 and parallel R2

Find the values of two resistors in parallel that are close to the given resistance value, using the E96 and E24 series.

Calculating electric field strength from current density and conductivity

Search the E192 series for two resistors in parallel whose combined resistance is close to the given value.

Calculations for the INA226

Calculate the current that the regulator can output based on the junction temperature and thermal resistance

Aluminum Wire Length and Diameter for Rdc Rac Weight

square loop antenna (side a = p, side b = p) L Rr Rac η

Determine the clock frequency at which the error becomes 0% in the H8 SCI. This should serve as a reference when determining the CPU clock frequency. This calculation is for when n=0.

Used to generate a sine wave table when you don't want to perform calculations on the microcontroller each time. Generates data for one cycle.

Inductance of a circular loop antenna (radius R, length L) S = πR²; Lcoil = Kn * ur * μ₀ * S * N² / L * 10⁶;

Calculating the Resistance Value of the INAx180 Current Sensor: Deriving the Measurement Range from the Resistance Value

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

Determine the image impedances Z01 and Z02 and the transmission coefficient θ from the F-matrix.

Gain of a dipole antenna

Calculate the voltage and current based on the power (W) and the load resistance.

k = 1/sqrt(1 + (L/(2*R))^2) k2 = k^2 Kn = (4/(3*pi*sqrt(1-k2)) * (((1-k2)/k2) * ellipticK(k) - ((1-2*k2)/k2) * ellipticE(k) - k))

Calculate the resistance value of the bias compensation resistor in a non-inverting amplifier circuit to minimize the offset voltage. *Updated December 1, 2025* We have added a feature to calculate the gain of a non-inverting amplifier circuit.

Find the values of two resistors in parallel that are close to the given resistance value, using the E192 and E24 series.

Equivalent Impedance of an LC Parallel Resonant Circuit

Find the values of two resistors in series that are close to the given resistance value, using the E192 and E24 series.

Calculating the Resistance Value of the INA180 Current Sensor: Deriving Resistance from the Measurement Range

Calculate a logarithmic attenuator that meets the given specifications.

Approaches to Temperature Control

SMD Resistance Value Code\ E96 Series

The bit depth indicates the percentage of the maximum output of an audio DAC or similar device that is actually being output.

Calculate the output impedance of the op-amp. Please refer to the image at the link below for the values of Vo and Rc.

This tool converts the open-loop output impedance listed in datasheets—primarily for TI operational amplifiers—into closed-loop output impedance. Please refer to the plotted graph to find the open-loop gain and open-loop output impedance at the desired frequency.

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

Calculating Device Temperatures (e.g., FETs)

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

BRR Calculation

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, calculate Ra and Rb.

Search the E48 series for two resistors in parallel whose combined resistance is close to the given value.

Based on the conductor's electrical conductivity and cross-sectional area, calculate the DC electrical resistance per meter.

This tool calculates the percentage of battery usage and the capacity at full charge when using apps like BatteryReport on a PC.

Calculate the conductance of the resistor based on the area of the plates, the distance between them, and the electrical conductivity.

Search the E96 series for two resistors in parallel whose combined resistance is close to the given value.

Demagnetizing factor of an ellipsoid

Calculations for the INA226

Demagnetizing factor of an ellipsoid

Inductance of a circular loop antenna (radius R, length L) S = πR²; Lcoil = Kn * ur * μ₀ * S * N² / L * 10⁶;

Calculates the output headroom. Displays the output voltage as a percentage of the supply voltage.

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

We calculate electric power using voltage and resistance.

Equivalent Impedance of an LC Parallel Resonant Circuit

E0*Es*A/t

Antenna Gain, Transmit Power, Distance to E, H, B

Given the minimum value (Rmin), the maximum value (Rmax), and Rv, we will determine Ra and Rb.

Displays the E series specified by N.

Equivalent Impedance of an LC Parallel Resonant Circuit

We use resistance and power to calculate voltage

We calculate electric power using current and resistance.

Short Vertical Antenna height, diameter Ra radiation

Short Vertical Antenna height, diameter Ra radiation

Returns the theoretical RLC value as the closest value in the E series.

Calculate the efficiency of a DC-DC converter based on its input and output voltages and currents.

In fact, generators have an optimal load resistance, and we calculate that resistance value and the corresponding power output.

Calculate the component values for the DABP filter.

Y-Δ transformation of points A, B, and C

Short Vertical Antenna height, diameter Ra radiation

In a Schmitt trigger circuit built using an operational amplifier, we calculate the hysteresis characteristics based on the resistance values and the operational amplifier supply voltage.

We use current and power to calculate voltage

Design of a Sallen-Key-Type Butterworth Low-Pass Filter

We use voltage and power to calculate resistance

Calculate the power factor (cosφ) of the AC input coil of a general-purpose relay

We use resistance and voltage to calculate the current

Impedance Matching Network Rs in series, Ls in parallel, Cp, Rp

Losses in Top Runner transformers rated at 500 kVA or less. Comparison of the 2006, 2014, and 2026 standards. Frequencies: 50 Hz and 60 Hz

We use current and power to calculate resistance

Heat-shrink tubing sold on Amazon and other sites is often listed by its flat width, but since it’s a hassle to calculate the inner diameter every time, I created this.

Design of a Sallen-Key-Type Butterworth High-Pass Filter

Calculation of the cross-sectional area of a square duct (sq m)

Calculates the cant of a railway curve. *Please note that this is based solely on railway structural regulations and does not guarantee that the curves at each point will be calculated accurately.

Calculating belt length based on the distance between the centers of two pulleys

We will perform a simple calculation of the distance-dependent attenuation of noise levels required during construction.

Air consumption

Formulas for calculating the effective diameter of metric and Unified threads

Find a specific location based on current location, distance, and direction

This "chain calculation" program goes a step further than conventional calculations based on center-to-center distances and the number of links; it calculates the center-to-center distance 2 based on the approximate center-to-center distance, ensuring that the resulting distance corresponds to an even number of links that can serve as joint links.

When welding column-beam joints, it is necessary to control the heat input and interpass temperature. The heat input is calculated for each pass in the layering diagram. This is a critically important welding parameter. [110,325] WELDING-WIRE=HEAT-INPUT Q = 60 × Ebolt × Iampere/s

Calculate the duct area (m²)

Calculation of Maximum Stress and Maximum Deflection for Rectangular Plate Deformation (Fully Supported, Centrally Loaded) (The length of the long side, b, can be up to four times the length of the short side, a) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website) https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculate the required length of the timing belt. Based on the calculation results, select the appropriate timing belt.

This is a comparison of deflections that do not include self-weight and the internal radius. Please compare which direction is stronger when using H-beams.

Allowable compressive stress considering buckling (for steel structures) This is for preliminary verification only.

Determine the center-to-center distance between the timing pulleys based on the standard belt length used in the timing belt system.

Calculation of the cross-sectional area of a square duct elbow (sq m)

Calculation of Maximum Stress and Maximum Deflection for Rectangular Plate Deformation (Fully Constrained, Uniformly Distributed Load) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

You can calculate the spring constant for coil springs sold on Amazon and other sites. The default values are based on the spring information shown in the attached image. *Please count the number of effective coils by looking at the photo and enter that number. ◆List of Transverse Elastic Moduli Spring steel, hard steel wire, piano wire, oil-tempered wire 78,500 Stainless steel (SUS304) 68,500 Stainless steel (SUS316) 73,500 Stainless Steel (SUS631J1) 73,500 Brass Wire 39,000 Nickel Silver Wire 39,000 Phosphor Bronze Wire 42,000 Beryllium Copper Wire 44,000

Calculate the tip length of the drill

We estimate your electricity costs based on the amount of air consumed.

If the axial force of the bolts used to tighten flanges and other components is known, calculate the torque required per bolt. *Note: Since this is an estimate, the strength of the flanges, bolts, gaskets, and other components when tightened to the calculated value is not verified. As there is a risk of deformation or damage, this calculation is provided for reference only.

Calculation of Torsion Angle and Maximum Stress in Square Pipe Torsion (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculation of Maximum Stress and Maximum Deflection for Rectangular Plates (Fully Supported, Uniformly Distributed Load) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Convert dd°mm′ss.s″ to ddmmss.s

Formula for calculating the self-supporting height by Rankine-Lehár: P = (γH + Q) × tan²(45° - φ/2) - 2Ctan(45° - φ/2) Let P represent the lateral earth pressure. Since the self-supporting height of the ground reaches equilibrium when P = 0, it can be calculated using the following modified equation:

This is software for calculating cant and transition curve lengths for curves with a 1067 mm gauge.

Calculation of Maximum Stress and Maximum Deflection for a Deformed Circular Plate (Fully Supported, Uniformly Distributed Load) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculation of Maximum Stress and Maximum Deflection for Rectangular Plate Deformation (Perimeter-Constrained, Centrally Loaded) (The length of the long side, b, can be up to four times the length of the short side, a) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website) https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculate the warpage that occurs when a flat plate experiences a difference in expansion between its top and bottom surfaces.

Find the surface speed of a rotating cylinder

Super Easy Quadrilateral Area Measurement Drive stakes into the four corners, measure the perimeter in a single continuous stroke with a tape measure, and simply enter the recorded length to calculate the area. Please enter the tape measure reading exactly as it is. There is no need to calculate the length of each side.

Strength Calculation for Stainless Steel Bolts

The minimum edge distance (D1: shear hole drilling, D2: drill hole drilling) is specified in the S Standard. [325, S Standard] BOLT-EDGE-DISTANCE = NOMINAL-DIAMETER ΔL = D - d1

Strength Calculations for Carbon Steel Bolts

Calculate the specific gravity (standard value) of the hardener slurry when water and hardener are mixed in a specific ratio.

Convert dd.d degrees to ddmmss.s format

This serves as an indicator of the hardenability of steel through welding. [110,325] STEEL-CARBON-EQUIVALENT=Ceq Ceq = C + Mn/6 + Si/24 + Ni/40 + Cr/5 + Mo/4 + V/14 (%)

Convert ddmmss.s format to dd.d degrees

String Length Offset Calculation (Used in Civil Engineering) Useful when installing side ditches or curbs along road curves.

Check whether the construction schedule for the apartment building is reasonable by looking at the "Number of Floors," "Building Permit Date," and "Expected Completion Date" listed in the "Property Overview" section on the back of the apartment flyer!

It automatically calculates power (kW) based on torque and RPM.

Permissible bending load for floor materials (uniformly distributed)

The tensile force per motor car is calculated based on the train's mass and acceleration.

Formula used to calculate the standard construction period

Calculate the maximum hourly consumption of city gas based on the boiler's total output. This is used when selecting pipe diameters and governors.

This is the formula for calculating the effective diameter of screws with a 55-degree thread angle, such as parallel pipe threads.

Calculation of Torsion Angle and Maximum Stress in a Square Bar Under Torsion (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

BEAT Direct Payment Calculator. Beta Version

Calculation of Torsion Angle and Maximum Stress in a Round Pipe Under Torsional Deformation (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculate the applied load relative to the design load Load plate: Steel circular plate, φ300 mm (area 0.0707 m²)

Calculation of Orifice Sizes (For Retention Basins and Storage Pipes in Stormwater Control Facilities, etc.) We calculate the orifice pipe diameters to regulate water levels in underground storage tanks and similar structures.

Circular section modulus, moment of inertia, area, circumference

Calculation of Maximum Stress and Maximum Deflection for a Deformed Circular Plate (Fully Constrained, Uniformly Distributed Load) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

You can calculate the area simply by entering the measurements at the vertices of the triangle formed by the tape measure. Step 1: Drive stakes into the ground. Step 2: Enter the measurements at the three vertices of the triangle formed by the tape measure.

When a board is warped, calculate the difference in expansion between the top and bottom surfaces.

Calculation of Maximum Stress and Maximum Deflection for Disk Deformation (Fully Supported, Centrally Loaded) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Manufactured for a Class II Pressure Vessel application

We will perform a simple calculation of the distance-dependent attenuation of noise levels required during construction.

The weld cracking susceptibility parameter Pcm depends on the chemical composition of the steel. [110,325] WELD-CRACKING-PARAMETER=Pcm Pcm = (C + Si) / 30 + (Mn / 20) + (Cu / 20) + (Ni / 60) + (Cr / 20) + (Mo / 15) + (V / 10) + 5 * B (%)

Manufactured for a Class II Pressure Vessel application

This calculation determines the cant and transition curve length for a curve with a 1435 mm gauge.

Calculation of the Twist Angle for an H-Shaped Beam (No Radius, Torsional Deformation) (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Permissible bending load for load-bearing flooring (centrally concentrated)

Calculation of Maximum Stress and Maximum Deflection for a Deformed Circular Plate (Fixed at the Perimeter, Radially Loaded) Reference: https://www.roymech.co.uk/Useful_Tables/Mechanics/Plates.html Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculation of Orifice Sizes (For Retention Basins and Storage Pipes in Stormwater Control Facilities, etc.) We calculate the orifice pipe diameters to regulate water levels in underground storage tanks and similar structures.

Allowable bending load for load-bearing flooring (two-point concentrated load: L1 > L2)

You can estimate the approximate power output of a wind turbine.

Will the building be okay if I put heavy objects on the roof? Here’s a rough guide to how much weight you can put on it.

Butt welding (excluding T-joints) is permitted when the difference in thickness between the base materials b does not exceed 5 mm. Alternatively, a single-sided bevel with a slope of 1/5 or less must be machined on the narrower end of the thicker plate. [110,325] PLATES-WELDABLE-THICKNESS=DEFFERENCE ΔT=T2-T1

Allowable bending load for load-bearing flooring (two-point concentrated load, L1 = L2 = L0)

The diaphragm for hot-dip galvanized column posts requires holes and notches in the center and at the four corners so that it can be immersed in the galvanizing bath [110,325] HOT-DIP-GALVANIZING-HOLE=RATIO Da = 2.7 × A + 1.9 × B - 202 -------- JISH 9124 (Hot-Dip Galvanizing Work Guidelines and Explanations) A:B = 1:1

Calculate the appropriate cutting speed based on the mill's blade diameter and rotational speed Reference: https://www.ns-tool.com/ja/technology/technical_data/cutting_speed/

I am looking for Kant.

The relationship between the bolt hole diameter and the nominal diameter of high-tension bolts is specified in the S Standard: [325, S Standard] BOLT-HOLE-VS-HIGH-TENSION-BOLT-NOMINAL-DIAMETER Δs = Φ – d1 = 2 (when d1 < 27), 3 (when d1 ≥ 27)

Calculation of the Twist Angle for a Grooved Shaft (No Radius) Under Torsional Deformation (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Calculate the center-to-center distance based on the number of teeth, pitch, and belt length of the large and small pulleys.

Z: Section modulus? p³

Find the diameter of a coil formed by winding a string-like object (such as fiber or copper wire) around a cylinder with a constant width. This is an application of volume calculations.

Area of a circle

Allowable bending stress considering lateral buckling (for steel structures) This is for preliminary verification only *Applicable when the bending moment varies within a given span

Unfolding of rolled sheet metal

Calculation of the Torsion Angle for an Equilateral Trapezoid—No Radius—Torsional Deformation (Single-Side Fixed, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

Permissible bending load for floor decking (uneven load, concentrated load)

Calculate the bend radius from the developed length.

The S Standard defines the relationship between the gauge (g) and pitch (p) for staggered bolt spacing as shown in the sketch: [325, S Standard] BOLT-STAGGING-GAUGE-PITCH = INTERVAL b = (p² - g²)⁰.⁵

Correction Factors for Steel Tape Measures and Temperature [325,725] MEASURING-RELAIABLE-LENGTH=TEMPERATURE dx = 0.000012 × (T - T0) × L

Stud Welding and Power Supply Transformer Capacity--STUD-WELDING-TRANSFORMER=CAPACITY Ps = A × V × √Φ / √ξ Determine the minimum power supply capacity required for a DC welder based on its general specifications and efficiency ξ

Manufactured for a Type II pressure vessel application Calculate the intermediate temperature using the interpolation method

Calculate the value of thermal expansion: [725,SI] THEMA-EXPANSION=LENGTH ΔL = α × (T2 - T1) × L

Calculation of Torsion Angle and Maximum Stress in a Round Bar Under Torsional Deformation (Single-Ended Fixation, Torque Load) Author's Website: https://plain-aso-4423.staba.jp (Mechanical Design and Development of Mechanical Design Apps for AutoCAD)

The maximum hardness near the weld joint of steel exhibits a linear relationship with the carbon equivalent of the steel: [110,325] CARBON-EQUIVALENT = MAXIMUM-HARDNESS Hvmax = 1,200 × Ceq – 200 --- For fillet welds on 12 mm thick plates

Confirmation of the slip coefficient test specimen and friction coefficient (0.4 or higher) for hot-dip galvanized fittings Yield strength of the components (SS400 = 235 N/mm² or SM490 = 325 N/mm²), two-surface joint of the hot-dip galvanized surfaces Calculate μ = P / (m × n × N). Note: If the plate width is inappropriate, the member must not yield and become thinner before slippage occurs [110,325] ZINC HOT-DIP-GALVANIZING-FRICTIONAL-COEFFICIENT=RATIO μx = (W - (Φ + 3)) × T1 × σy / (m × n × N)

Beet Weight Estimator. Beta Version

This serves as an indicator of the hardenability of rebar resulting from welding or pressure bonding. Ceq = C + Mn / 6 [110,324] REBARL-CARBON-EQUIVALENT = Ceq

Manufactured for a Class II Pressure Vessel application

Number of Cuts Calculator

Enter the width across two faces of the hex nut to obtain the diagonal dimension. Please note that this is a calculated value only and may differ from standard specifications. In practice, the corners are often chamfered, so the actual size is likely to be slightly smaller than the calculated value.

When steel is restrained (fixed), thermal expansion causes stress, requiring a restraining force; if the stress exceeds the allowable tensile strength (N/mm²), the steel will fracture. [325,725] STEEL-THERMAL-EXPANSION-FRACTURE=STRESS σ = α × (T2 - T1) × E

Jack and Ram Contact Surface Pressure - JACK-CONTACTED-SURFACE=PRESSURE [321,326] Ps = TJ/A Determine the allowable value of the spacer contact surface pressure (kg/cm²) for a given load (kg).

Correction Factors for Steel Tape Measures and Tension [325,725] MEASURING-RELAIABLE-LENGTH=TENSION-FORCE dx = (P - P0) × L / (A × E)

Effective cross-sectional area As of standard metric threads

amazone ZA-M Broadcaster Specific Gravity Calculator

Changes in the alignment of a double wishbone suspension, a type of four-link suspension

I had been doing various calculations using a Canon desktop calculator with a printer, but it broke and became unusable, so I tried using Excel on a Windows PC, but it was very difficult to use, and the calculation results didn't match those from the CAD software.

Calculate the stress intensity factor for a flat plate with a through-crack at its center. (Central Crack in a Finite Plate)

Calculate the stress intensity factor for a crack on one side of a flat plate. (Finite plate with a single-sided crack)

Calculate the stress intensity factor when there is a crack on a portion of the shaft surface. (Cylindrical single-sided crack)

Convert the amount of data.

High-Speed Arlan B Calculator Calculate the number of lines n based on the target call loss rate B and call volume a.

Based on the screen size in inches and the aspect ratio, this tool calculates the actual screen dimensions in centimeters.

Calculate the PPI, dot pitch, and horizontal and vertical dimensions

Calculate the sample size required for an A/B test. Enter your current conversion rate (CVR), target conversion rate, significance level, and power, then click the button.

Calculate the call loss rate based on the number of calls and the number of lines.

This is a calculation of the average waiting time for the M/M/1(∞) queueing model (where arrival times follow a Poisson distribution, service times follow an exponential distribution, there is a single service counter, and the queue is infinite).

High-Speed Arlan B Calculator Calculate the call loss rate B based on call volume a and the number of lines n.

Calculate the average information content [bits] based on the number of outcomes. Assume that all outcomes have equal probability.

STM32 Timer and Counter Calculations

We will verify the RSA cipher featured in the NHK program *Math Without Laughter*, which stars Mr. Ogata of the group Panther. RSA stands for Rivest-Shamir-Adleman. It supports both decryption and encryption. As an example, we can verify the problem presented at the end of *Math Without Laughter*.

3DS Game Size Calculator

High-Speed Arlan B Calculator Calculate call volume a based on target call loss rate B and number of lines n.

Call volume is calculated using the Newton method based on the number of outgoing lines and the call loss rate. Convergence is slow, so improvements are needed.

Calculate the bitrate based on the file size and the time it took to download.

We calculate the number of equally probable outcomes based on mutual information. Alternatively, we determine the number of distinct values that can be stored based on the size of a computer's memory. We also determine the maximum value of an unsigned integer that can be stored.

Convert bytes to MB or GB

This calculates the average number of customers in an M/M/1(∞) queueing model (where arrival times follow a Poisson distribution, service times follow an exponential distribution, there is a single service counter, and the queue is infinite).

Destruction Value and Required Troop Count

Destructive power

Calculates a brightness value (with endpoints specified by constants) that looks natural over any distance within the specified range. Please feel free to use this for CSS `hsla()` in dark themes. (This is not a simple inverse proportion! It appropriately corrects for the inverse square law.)

Comparing HubSpot Pricing for Pro and Enterprise

Sample 3 using functions\ cubicRoot(x)

Convert kilowatts to horsepower. This is useful when you want to check the power output of trains and other vehicles in horsepower.

Calculate the relationship between rating difference and win rate.

Converts decimal latitude and longitude (used in Google Maps, etc.) to the commonly used sexagesimal latitude and longitude.

This tool converts the commonly used 60-degree latitude and longitude coordinates obtained from GPS and other sources into the 10-degree latitude and longitude coordinates used by Google Maps and similar services.

For personal use. You can calculate the total number of frames from the animation duration (seconds + frames).

Converting Shogi Software Evaluation Values to Win Rates

This is for my personal use. It converts the number of frames to the standard notation used in the animation industry (seconds + frames).

Conversion formula from ppm to molar concentration. Purity is not taken into account.

Calculating Musical Scales

Convert meters to shaku and shaku to meters.

Enter inches to convert to hPa, or enter hPa to convert to inches.

Convert ri-saku to kilometers

Based on the "Customer Feedback" submitted to [Length Conversion] at 12:20 p.m. on Thursday, February 19, 2015, we have created [Length Conversion: Bible Edition].

Calculates the visual angle (spatial frequency) based on the number of pixels on the display screen, the physical width, the viewing distance, and the wavelength of the stimulus.

Convert BCM to CC

Any number of minutes can be converted into hours, minutes, and seconds.

This tool converts "×-speed" settings between DVD and Blu-ray. Transfer speeds are also listed.

Convert LPI to LPCM

Calculate the viewing distance based on the display's pixel count, physical width, stimulus wavelength, and spatial frequency.

For instruments tuned using the Pythagorean tuning system, convert each frequency to cents.

Please enter the final image size (mm) and resolution (dpi).

Converting from CC to BCM

Convert the numbers to units used by the principal and BIG

Convert LPI to LPCM

Calculate the fixed overtime pay when "Total compensation = Wages for scheduled working hours + Fixed overtime pay"

Find the length of the diagonal

We calculate simulations of rental income and loan repayments for real estate investments, such as rental apartments.

Calculate the break-even point, break-even ratio, contribution margin, and contribution margin ratio.

This tool calculates PV (Present Value) and NPV (Net Present Value). Please use it to evaluate investment proposals—such as new projects or real estate—using the DCF (Discounted Cash Flow) method. * We also provide a simulator for calculating IRR.

We will calculate the expected value of a single trade in binary options.

Calculation of the Childcare Shortened Work Hours Employment Allowance for Workers with Children Under 2 Years of Age (Draft)

This tool calculates the IRR (Internal Rate of Return). Please use it to evaluate new projects, real estate investments, and other investment opportunities. * We also provide simulators for calculating PV and NPV.

[How many times larger is it?]

Ichimoku Kinko Hyo: Price Range Calculation

Calculate capital gains and income tax and resident tax resulting from the sale of commercial real estate.

We will calculate the amount of court fees required to file a lawsuit.

We calculate the take-home pay by deducting social insurance premiums from the total gross pay (monthly salary) and calculating the withholding income tax.

This is a calculator for court filing fees. It is updated to reflect the 2007 revisions.

We calculate capital gains, income tax, and resident tax resulting from the sale of non-business real estate, such as primary residences or vacation homes.

Calculate the "average wage" as defined by the Labor Standards Act based on the "wages," "calendar days," and "working days" for each of the past three months.

We calculate the parameter K, which determines the probability distribution in the negative binomial distribution (NBD) model—used in mathematical marketing to represent the probability of purchase frequency—using the Newton-Raphson method. Reference: "Strategic Thinking with Probability: The Power of Mathematical Marketing, Proven at USJ" (Tsuyoshi Morioka, Seiki Imanishi)

It automatically checks for any changes in prescription strength caused by variations in the vertex distance (the distance between the eye and the eyeglass lens).

Social Insurance: We will determine the grade and insurance premiums based on the regular assessment for the April, May, and June paychecks.

We will calculate the negative binomial distribution (NBD) model, which is used in mathematical marketing to represent the probability of the number of purchases. Reference: "Strategic Thinking Through Probability: The Power of Mathematical Marketing, Proven at USJ" (Tsuyoshi Morioka, Seiki Imanishi)

This is a calculation of the Continued Employment Subsidy for Older Workers to offset wage declines after age 60. This calculation is based on the maximum subsidy rate of 15% for recipients who were already receiving benefits prior to the April 2025 amendment.

We will calculate the parameters m and k that appear in the Gamma-Poisson Recency Model, which predicts "When was the last purchase?" and "When was the last visit?", using the quasi-Newton method. Calculations can be performed up to 10 periods ago; please enter 0 for unnecessary periods and penetration rates (do not leave them blank). Reference: "Strategic Thinking with Probability: The Power of Mathematical Marketing, Proven at USJ" (Tsuyoshi Morioka, Seiki Imanishi)

Calculate the sum of Σ monthly amounts × 12 + Σ annual amounts

Determine the accounting month corresponding to each calendar month.

We will calculate purchase rates and purchase frequency using the Dirichlet NBD model (commonly known as the Dirichlet model), which is used in mathematical marketing to represent the probability of purchasing a company’s own brand within a category. *You can access the formula for the probability itself via the link below. Reference: “Strategic Thinking Based on Probability: The Power of Mathematical Marketing, Proven at USJ” (Tsuyoshi Morioka, Seiki Imanishi)

We will calculate the Gamma-Poisson Recency Model, which predicts "When was the last purchase?" and "When was the last visit?". Calculations can be performed up to 10 periods ago; please enter "0" for any periods not needed (do not leave them blank). To calculate the parameters m and k, please use the separate formula I created, accessible via the link below. Reference: "Strategic Thinking with Probability: The Power of Mathematical Marketing, Proven at USJ" (Tsuyoshi Morioka, Seiki Imanishi)

This simulation calculates social insurance premiums and withholding income tax based on the total bonus amount for Reiwa 8, and determines the net pay.

We calculate the parameter S, which appears in the Dirichlet NBD model (commonly known as the Dirichlet model)—used in mathematical marketing to represent the probability of purchasing a company’s own brand within a category—based on actual purchase rates of the company’s own brand. We use the quasi-Newton-Rousson method (which replaces derivatives with differences) for the calculation. Reference: "Strategic Thinking with Probability: The Power of Mathematical Marketing, Proven at USJ" (Tsuyoshi Morioka, Seiki Imanishi)

We will calculate the Dirichlet NBD model (commonly known as the Dirichlet model), which is used in mathematical marketing to represent the probability of purchasing a company’s own brand within a given category. Reference: “Strategic Thinking Through Probability: The Power of Mathematical Marketing, Proven at USJ” (Tsuyoshi Morioka, Seiki Imanishi)

When implementing a fixed (deemed) overtime pay system, this tool calculates how much of an additional amount will be added as a “separate allowance.” It can also be used for standard overtime pay calculations.

We’ll calculate the total gross pay required to achieve your desired take-home pay under a monthly salary system.

Simple full-cost accounting using the first-in, first-out (FIFO) method (batch input of materials, uniform input of materials); grade-based full-cost accounting with two grades

Determine whether a project qualifies for construction contracts in a game-like format. We hope you find this useful for studying the Construction Industry Act.

We estimate the amount of the maternity allowance (sickness allowance) based on the average annual Employees' Pension Insurance premiums.

Interpolate the missing loan repayment schedule

This shows the page order and layout for double-sided printing on folded materials such as brochures and newspapers.

Calculate the daily wage based on the figures listed on the Employment Insurance Separation Certificate.

Calculate the final gross salary paid upon retirement

The amount by which the in-service old-age welfare pension is suspended while you are employed is calculated based on your salary and annual bonus.

For the monthly wage certification required for the “Childcare Leave Benefits” under Employment Insurance, you must have worked for at least 11 days in 12 months over the past two years. However, if you took maternity, childcare, or family care leave, or were on sick leave during that period, the standard two-year period will be extended by the duration of those leaves. Although it is often referred to as “going back four years,” this does not mean that everyone’s period is automatically extended by four years; rather, it is a calculation to determine how far back the period can actually be extended.

For the annual tax return for labor insurance (workers' compensation insurance and unemployment insurance), which is filed between June and July each year, this program calculates and outputs the figures to be entered on the tax return form based on the annual wages and insurance premium rates.

When employees are permitted to use various types of leave in units of time (minutes), if they switch to reduced working hours or similar arrangements (or, conversely, return to regular working hours) during the fiscal year, the remaining balance of hours (minutes) will be converted to a balance adjusted to the new scheduled working hours.

Based on the number of days of child care leave and family care leave granted and the number of days taken through the middle (or end) of the fiscal year, the remaining balance (days, hours, minutes) is calculated.

Based on the annual salary and the number of bonus months, calculate the monthly salary and bonus amounts.

・Total quantity = Total number of units ・Pack size = Unit of packaging ・Number of labels per sheet = Number of labels per sheet ・Print run = Rounded up.

We perform the calculations and determinations required for interim adjustments to social insurance.

Calculate the statutory total working hours based on the number of calendar days (period) for the variable work hour system’s variable period and the flex-time system’s settlement period.

This calculates the monthly maximum number of hours for overtime and holiday work (Labor Standards Act, Article 36, Paragraph 6, Items 2 and 3).

Working Hours and Break Times