Maximum Stress in Unsymmetrical Bending Calculator

✖Bending Moment about X-Axis is defined as the bending moment about principal axis XX.ⓘ Bending Moment about X-Axis [M_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%
✖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%
✖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%

✖Maximum Stress is defined as force per unit area that the force acts upon.ⓘ Maximum Stress in Unsymmetrical Bending [f_Max]

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Formula

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Maximum Stress in Unsymmetrical Bending

Formula

`"f"_{"Max"} = (("M"_{"x"}*"y")/"I"_{"x"})+(("M"_{"y"}*"x")/"I"_{"y"})`

Example

`"1430.54N/m²"=(("239N*m"*"169mm")/"51kg·m²")+(("307N*m"*"104mm")/"50kg·m²")`

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Download Unsymmetrical Bending and Three Hinged Arches Formulas PDF

Maximum Stress in Unsymmetrical Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
f_Max = ((M_x*y)/I_x)+((M_y*x)/I_y)
This formula uses 7 Variables

Variables Used

Maximum Stress - (Measured in Newton per Square Meter) - Maximum Stress is defined as force per unit area that the force acts upon.
Bending Moment about X-Axis - (Measured in Newton Meter) - Bending Moment about X-Axis is defined as the bending moment about principal axis 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment about X-Axis: 239 Newton Meter --> 239 Newton Meter No Conversion Required
Distance from Point to XX Axis: 169 Millimeter --> 169 Millimeter No Conversion Required
Moment of Inertia about X-Axis: 51 Kilogram Square Meter --> 51 Kilogram Square Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_Max = ((M_x*y)/I_x)+((M_y*x)/I_y) --> ((239*169)/51)+((307*104)/50)

Evaluating ... ...

f_Max = 1430.54039215686

STEP 3: Convert Result to Output's Unit

1430.54039215686 Pascal -->1430.54039215686 Newton per Square Meter (Check conversion here)

FINAL ANSWER

1430.54039215686 ≈ 1430.54 Newton per Square Meter <-- Maximum Stress

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 7 Unsymmetrical Bending Calculators

Moment of Inertia about XX given Maximum Stress in Unsymmetrical Bending

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

Moment of Inertia about YY given Maximum Stress in Unsymmetrical Bending

Go Moment of Inertia about Y-Axis = (Bending Moment about Y-Axis*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)))

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending

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

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

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

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

Distance from Point to XX Axis given Maximum Stress in Unsymmetrical Bending

Go Distance from Point to XX 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/Bending Moment about X-Axis

Maximum Stress in Unsymmetrical Bending Formula

Define Stress

Stress, in physical sciences and engineering, force per unit area within materials that arises from externally applied forces, uneven heating, or permanent deformation and that permits an accurate description and prediction of elastic, plastic, and fluid behaviour. Stress is expressed as a quotient of a force divided by an area.

How to Calculate Maximum Stress in Unsymmetrical Bending?

Maximum Stress in Unsymmetrical Bending calculator uses 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) to calculate the Maximum Stress, The Maximum Stress in Unsymmetrical Bending formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Maximum Stress is denoted by f_Max symbol.

How to calculate Maximum Stress in Unsymmetrical Bending using this online calculator? To use this online calculator for Maximum Stress in Unsymmetrical Bending, enter Bending Moment about X-Axis (M_x), Distance from Point to XX Axis (y), Moment of Inertia about X-Axis (I_x), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x) & Moment of Inertia about Y-Axis (I_y) and hit the calculate button. Here is how the Maximum Stress in Unsymmetrical Bending calculation can be explained with given input values -> 1430.54 = ((239*0.169)/51)+((307*0.104)/50).

FAQ

What is Maximum Stress in Unsymmetrical Bending?

The Maximum Stress in Unsymmetrical Bending formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain and is represented as f_Max = ((M_x*y)/I_x)+((M_y*x)/I_y) or 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). Bending Moment about X-Axis is defined as the bending moment about principal axis XX, Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed, Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX, 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.

How to calculate Maximum Stress in Unsymmetrical Bending?

The Maximum Stress in Unsymmetrical Bending formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain is calculated using 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). To calculate Maximum Stress in Unsymmetrical Bending, you need Bending Moment about X-Axis (M_x), Distance from Point to XX Axis (y), Moment of Inertia about X-Axis (I_x), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x) & Moment of Inertia about Y-Axis (I_y). With our tool, you need to enter the respective value for 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 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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