Maximum Bending Stress given Eccentric Load Calculator

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load on Column [P]			+10% -10%
✖Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Eccentricity of Loading [e_load]			+10% -10%
✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter [d]			+10% -10%

✖Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Maximum Bending Stress given Eccentric Load [σb^max]

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Maximum Bending Stress given Eccentric Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3))
σb^max = (32*P*e_load)/(pi*(d^3))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

STEP 1: Convert Input(s) to Base Unit

Eccentric Load on Column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Eccentricity of Loading: 0.000402 Millimeter --> 4.02E-07 Meter (Check conversion here)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^max = (32*P*e_load)/(pi*(d^3)) --> (32*7000*4.02E-07)/(pi*(0.142^3))

Evaluating ... ...

σb^max = 10.010578269136

STEP 3: Convert Result to Output's Unit

10.010578269136 Pascal -->1.0010578269136E-05 Megapascal (Check conversion here)

FINAL ANSWER

1.0010578269136E-05 ≈ 1E-5 Megapascal <-- Maximum Bending Stress

(Calculation completed in 00.004 seconds)

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< Middle Quarter Rule for Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

LaTeX Go Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))

Condition for Maximum Bending Stress given Diameter

LaTeX Go Diameter = 2*Distance from Neutral Layer

Diameter of Circular Section given Maximum Value of Eccentricity

LaTeX Go Diameter = 8*Eccentricity of Loading

Maximum value of Eccentricity for No Tensile Stress

LaTeX Go Eccentricity of Loading = Diameter/8

Maximum Bending Stress given Eccentric Load Formula

LaTeX Go

Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3))
σb^max = (32*P*e_load)/(pi*(d^3))

What is Shear Stress and Strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Maximum Bending Stress given Eccentric Load?

Maximum Bending Stress given Eccentric Load calculator uses Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)) to calculate the Maximum Bending Stress, The Maximum Bending Stress given Eccentric Load formula is defined as a measure of the maximum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses. Maximum Bending Stress is denoted by σb^max symbol.

How to calculate Maximum Bending Stress given Eccentric Load using this online calculator? To use this online calculator for Maximum Bending Stress given Eccentric Load, enter Eccentric Load on Column (P), Eccentricity of Loading (e_load) & Diameter (d) and hit the calculate button. Here is how the Maximum Bending Stress given Eccentric Load calculation can be explained with given input values -> 1E-11 = (32*7000*4.02E-07)/(pi*(0.142^3)).

FAQ

What is Maximum Bending Stress given Eccentric Load?

The Maximum Bending Stress given Eccentric Load formula is defined as a measure of the maximum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses and is represented as σb^max = (32*P*e_load)/(pi*(d^3)) or Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)). Eccentric Load on Column is the load that causes direct stress as well as bending stress, Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Maximum Bending Stress given Eccentric Load?

The Maximum Bending Stress given Eccentric Load formula is defined as a measure of the maximum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses is calculated using Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)). To calculate Maximum Bending Stress given Eccentric Load, you need Eccentric Load on Column (P), Eccentricity of Loading (e_load) & Diameter (d). With our tool, you need to enter the respective value for Eccentric Load on Column, Eccentricity of Loading & Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Bending Stress?

In this formula, Maximum Bending Stress uses Eccentric Load on Column, Eccentricity of Loading & Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section)

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