Maximum Bending Stress for Circular Section given Moment of Load Calculator

✖Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.ⓘ Moment due to Eccentric Load [M]			+10% -10%
✖Diameter of Circular Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Circular Section [d_c]			+10% -10%
✖MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.ⓘ MOI of Area of Circular Section [I_circular]			+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 for Circular Section given Moment of Load [σb^max]

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Maximum Bending Stress for Circular Section given Moment of Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section)
σb^max = (M*d_c)/(2*I_circular)
This formula uses 4 Variables

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.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.
Diameter of Circular Section - (Measured in Meter) - Diameter of Circular Section is the diameter of the circular cross-section of the beam.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.

STEP 1: Convert Input(s) to Base Unit

Moment due to Eccentric Load: 0.000256 Newton Meter --> 0.000256 Newton Meter No Conversion Required
Diameter of Circular Section: 360 Millimeter --> 0.36 Meter (Check conversion here)
MOI of Area of Circular Section: 455.1887 Millimeter⁴ --> 4.551887E-10 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^max = (M*d_c)/(2*I_circular) --> (0.000256*0.36)/(2*4.551887E-10)

Evaluating ... ...

σb^max = 101232.741498196

STEP 3: Convert Result to Output's Unit

101232.741498196 Pascal -->0.101232741498196 Megapascal (Check conversion here)

FINAL ANSWER

0.101232741498196 ≈ 0.101233 Megapascal <-- Maximum Bending Stress

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 for Circular Section given Moment of Load Formula

LaTeX Go

Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section)
σb^max = (M*d_c)/(2*I_circular)

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 for Circular Section given Moment of Load?

Maximum Bending Stress for Circular Section given Moment of Load calculator uses Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section) to calculate the Maximum Bending Stress, The Maximum Bending Stress for Circular Section given Moment of Load formula is defined as the maximum stress a circular section can withstand when subjected to a bending load, providing a critical value for structural integrity and safety assessments in engineering applications. Maximum Bending Stress is denoted by σb^max symbol.

How to calculate Maximum Bending Stress for Circular Section given Moment of Load using this online calculator? To use this online calculator for Maximum Bending Stress for Circular Section given Moment of Load, enter Moment due to Eccentric Load (M), Diameter of Circular Section (d_c) & MOI of Area of Circular Section (I_circular) and hit the calculate button. Here is how the Maximum Bending Stress for Circular Section given Moment of Load calculation can be explained with given input values -> 0.003203 = (0.000256*0.36)/(2*4.551887E-10).

FAQ

What is Maximum Bending Stress for Circular Section given Moment of Load?

The Maximum Bending Stress for Circular Section given Moment of Load formula is defined as the maximum stress a circular section can withstand when subjected to a bending load, providing a critical value for structural integrity and safety assessments in engineering applications and is represented as σb^max = (M*d_c)/(2*I_circular) or Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section). Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column, Diameter of Circular Section is the diameter of the circular cross-section of the beam & MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.

How to calculate Maximum Bending Stress for Circular Section given Moment of Load?

The Maximum Bending Stress for Circular Section given Moment of Load formula is defined as the maximum stress a circular section can withstand when subjected to a bending load, providing a critical value for structural integrity and safety assessments in engineering applications is calculated using Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section). To calculate Maximum Bending Stress for Circular Section given Moment of Load, you need Moment due to Eccentric Load (M), Diameter of Circular Section (d_c) & MOI of Area of Circular Section (I_circular). With our tool, you need to enter the respective value for Moment due to Eccentric Load, Diameter of Circular Section & MOI of Area of Circular Section 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 Moment due to Eccentric Load, Diameter of Circular Section & MOI of Area of Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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