Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Calculator

✖Maximum Stress is defined as force per unit area that the force acts upon.ⓘ Maximum Stress [f_Max]			+10% -10%
✖Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.ⓘ Bending Moment about Y-Axis [M_y]			+10% -10%
✖Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.ⓘ Distance from Point to YY Axis [x]			+10% -10%
✖Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.ⓘ Moment of Inertia about Y-Axis [I_y]			+10% -10%
✖Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.ⓘ Moment of Inertia about X-Axis [I_x]			+10% -10%
✖Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.ⓘ Distance from Point to XX Axis [y]			+10% -10%

✖Bending Moment about X-Axis is defined as the bending moment about principal axis XX.ⓘ Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending [M_x]

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Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis)
M_x = (f_Max-((M_y*x)/I_y))*I_x/(y)
This formula uses 7 Variables

Variables Used

Bending Moment about X-Axis - (Measured in Newton Meter) - Bending Moment about X-Axis is defined as the bending moment about principal axis XX.
Maximum Stress - (Measured in Pascal) - Maximum Stress is defined as force per unit area that the force acts upon.
Bending Moment about Y-Axis - (Measured in Newton Meter) - Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.
Distance from Point to YY Axis - (Measured in Millimeter) - Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.
Moment of Inertia about Y-Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.
Moment of Inertia about X-Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.
Distance from Point to XX Axis - (Measured in Millimeter) - Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress: 1430 Newton per Square Meter --> 1430 Pascal (Check conversion here)
Bending Moment about Y-Axis: 307 Newton Meter --> 307 Newton Meter No Conversion Required
Distance from Point to YY Axis: 104 Millimeter --> 104 Millimeter No Conversion Required
Moment of Inertia about Y-Axis: 50 Kilogram Square Meter --> 50 Kilogram Square Meter No Conversion Required
Moment of Inertia about X-Axis: 51 Kilogram Square Meter --> 51 Kilogram Square Meter No Conversion Required
Distance from Point to XX Axis: 169 Millimeter --> 169 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_x = (f_Max-((M_y*x)/I_y))*I_x/(y) --> (1430-((307*104)/50))*51/(169)

Evaluating ... ...

M_x = 238.836923076923

STEP 3: Convert Result to Output's Unit

238.836923076923 Newton Meter --> No Conversion Required

FINAL ANSWER

238.836923076923 ≈ 238.8369 Newton Meter <-- Bending Moment about X-Axis

(Calculation completed in 00.004 seconds)

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< Unsymmetrical Bending Calculators

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending

LaTeX Go Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis)

Bending Moment about Axis YY given Maximum Stress in Unsymmetrical Bending

LaTeX Go Bending Moment about Y-Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/(Distance from Point to YY Axis)

Maximum Stress in Unsymmetrical Bending

LaTeX Go Maximum Stress = ((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis)+((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis)

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending

LaTeX Go Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Formula

LaTeX Go

Define Bending Moment

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending calculator uses Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis) to calculate the Bending Moment about X-Axis, The Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment about X-Axis is denoted by M_x symbol.

How to calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending using this online calculator? To use this online calculator for Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending, enter Maximum Stress (f_Max), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x), Moment of Inertia about Y-Axis (I_y), Moment of Inertia about X-Axis (I_x) & Distance from Point to XX Axis (y) and hit the calculate button. Here is how the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending calculation can be explained with given input values -> -192.248876 = (1430-((307*0.104)/50))*51/(0.169).

FAQ

What is Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

The Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_x = (f_Max-((M_y*x)/I_y))*I_x/(y) or Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis). Maximum Stress is defined as force per unit area that the force acts upon, Bending Moment about Y-Axis is defined as the bending moment about principal axis YY, Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed, Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY, Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX & Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.

How to calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

The Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis). To calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending, you need Maximum Stress (f_Max), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x), Moment of Inertia about Y-Axis (I_y), Moment of Inertia about X-Axis (I_x) & Distance from Point to XX Axis (y). With our tool, you need to enter the respective value for Maximum Stress, Bending Moment about Y-Axis, Distance from Point to YY Axis, Moment of Inertia about Y-Axis, Moment of Inertia about X-Axis & Distance from Point to XX Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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