Eccentric Load given Minimum Bending Stress Calculator

✖Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.ⓘ Minimum Bending Stress [σb^min]			+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%
✖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%

✖Eccentric Load on Column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load given Minimum Bending Stress [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Eccentric Load given Minimum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric Load on Column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4
P = (σb^min*(pi*(d^2)))*(1-((8*e_load)/d))/4
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Eccentric Load on Column - (Measured in Newton) - Eccentric Load on Column is the load that causes direct stress as well as bending stress.
Minimum Bending Stress - (Measured in Pascal) - Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Minimum Bending Stress: 0.402009 Megapascal --> 402009 Pascal (Check conversion here)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)
Eccentricity of Loading: 0.000402 Millimeter --> 4.02E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (σb^min*(pi*(d^2)))*(1-((8*e_load)/d))/4 --> (402009*(pi*(0.142^2)))*(1-((8*4.02E-07)/0.142))/4

Evaluating ... ...

P = 6366.3793064423

STEP 3: Convert Result to Output's Unit

6366.3793064423 Newton -->6.3663793064423 Kilonewton (Check conversion here)

FINAL ANSWER

6.3663793064423 ≈ 6.366379 Kilonewton <-- Eccentric Load on Column

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Middle Quarter Rule for Circular Section » Eccentric Load given Minimum Bending Stress

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 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

Eccentric Load given Minimum Bending Stress Formula

LaTeX Go

Eccentric Load on Column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4
P = (σb^min*(pi*(d^2)))*(1-((8*e_load)/d))/4

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 Eccentric Load given Minimum Bending Stress?

Eccentric Load given Minimum Bending Stress calculator uses Eccentric Load on Column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4 to calculate the Eccentric Load on Column, The Eccentric Load given Minimum Bending Stress formula is defined as a measure of the load applied at an offset from the axis of a structural member, which causes both compressive and tensile stresses, and is critical in determining the minimum bending stress that a material can withstand without deforming or failing. Eccentric Load on Column is denoted by P symbol.

How to calculate Eccentric Load given Minimum Bending Stress using this online calculator? To use this online calculator for Eccentric Load given Minimum Bending Stress, enter Minimum Bending Stress (σb^min), Diameter (d) & Eccentricity of Loading (e_load) and hit the calculate button. Here is how the Eccentric Load given Minimum Bending Stress calculation can be explained with given input values -> 7.9E-5 = (402009*(pi*(0.142^2)))*(1-((8*4.02E-07)/0.142))/4.

FAQ

What is Eccentric Load given Minimum Bending Stress?

The Eccentric Load given Minimum Bending Stress formula is defined as a measure of the load applied at an offset from the axis of a structural member, which causes both compressive and tensile stresses, and is critical in determining the minimum bending stress that a material can withstand without deforming or failing and is represented as P = (σb^min*(pi*(d^2)))*(1-((8*e_load)/d))/4 or Eccentric Load on Column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4. Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & 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.

How to calculate Eccentric Load given Minimum Bending Stress?

The Eccentric Load given Minimum Bending Stress formula is defined as a measure of the load applied at an offset from the axis of a structural member, which causes both compressive and tensile stresses, and is critical in determining the minimum bending stress that a material can withstand without deforming or failing is calculated using Eccentric Load on Column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4. To calculate Eccentric Load given Minimum Bending Stress, you need Minimum Bending Stress (σb^min), Diameter (d) & Eccentricity of Loading (e_load). With our tool, you need to enter the respective value for Minimum Bending Stress, Diameter & Eccentricity of Loading 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 Eccentric Load on Column?

In this formula, Eccentric Load on Column uses Minimum Bending Stress, Diameter & Eccentricity of Loading. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentric Load on Column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)
Eccentric Load on Column = (Direct Stress*pi*(Diameter^2))/4

Home

FREE PDFs

🔍 Search