Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity Calculator

✖Eccentricity of Load is the distance from point of application of resultant to center of base.ⓘ Eccentricity of Load [e']			+10% -10%
✖Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.ⓘ Area of Cross-Section [A]			+10% -10%

✖Section Modulus for Eccentric Load on Beam is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity [Z]

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Formula

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Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity

Formula

`"Z" = "e'"*"A"`

Example

`"1.1E^6mm³"="200mm"*"5600mm²"`

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Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section
Z = e'*A
This formula uses 3 Variables

Variables Used

Section Modulus for Eccentric Load on Beam - (Measured in Cubic Meter) - Section Modulus for Eccentric Load on Beam is a geometric property for a given cross-section used in the design of beams or flexural members.
Eccentricity of Load - (Measured in Meter) - Eccentricity of Load is the distance from point of application of resultant to center of base.
Area of Cross-Section - (Measured in Square Meter) - Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

STEP 1: Convert Input(s) to Base Unit

Eccentricity of Load: 200 Millimeter --> 0.2 Meter (Check conversion here)
Area of Cross-Section: 5600 Square Millimeter --> 0.0056 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = e'*A --> 0.2*0.0056

Evaluating ... ...

Z = 0.00112

STEP 3: Convert Result to Output's Unit

0.00112 Cubic Meter -->1120000 Cubic Millimeter (Check conversion here)

FINAL ANSWER

1120000 ≈ 1.1E+6 Cubic Millimeter <-- Section Modulus for Eccentric Load on Beam

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 7 Strain Energy Calculators

Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero

Go Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth)

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity

Go Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section

Area to Maintain Stress as Wholly Compressive given Eccentricity

Go Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load

Eccentricity to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Section Modulus for Eccentric Load on Beam/Area of Cross-Section

Eccentricity for Solid Circular Sector to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Diameter of Circular Shaft/8

Eccentricity for Rectangular Section to maintain Stress as Wholly Compressive

Go Eccentricity of Load = Dam Thickness/6

Breadth for Rectangular Section to Maintain Stress as Wholly Compressive

Go Dam Thickness = 6*Eccentricity of Load

< 11 Structural Analysis of Beams Calculators

Beam Depth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Effective Depth of Beam = sqrt((3*Point Load*Distance from A end)/(Width of Beam Section*Stress of Beam))

Beam Breadth of Uniform Strength for Simply Supported Beam when Load is at Centre

Go Width of Beam Section = (3*Point Load*Distance from A end)/(Stress of Beam*Effective Depth of Beam^2)

Loading of Beam of Uniform Strength

Go Point Load = (Stress of Beam*Width of Beam Section*Effective Depth of Beam^2)/(3*Distance from A end)

Stress of Beam of Uniform Strength

Go Stress of Beam = (3*Point Load*Distance from A end)/(Width of Beam Section*Effective Depth of Beam^2)

Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero

Go Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth)

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity

Go Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section

Area to Maintain Stress as Wholly Compressive given Eccentricity

Go Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load

Eccentricity to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Section Modulus for Eccentric Load on Beam/Area of Cross-Section

Eccentricity for Solid Circular Sector to Maintain Stress as Wholly Compressive

Go Eccentricity of Load = Diameter of Circular Shaft/8

Eccentricity for Rectangular Section to maintain Stress as Wholly Compressive

Go Eccentricity of Load = Dam Thickness/6

Breadth for Rectangular Section to Maintain Stress as Wholly Compressive

Go Dam Thickness = 6*Eccentricity of Load

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity Formula

Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section
Z = e'*A

Define Stress & Strain Energy

The stress definition in engineering says that stress is the force applied to an object divided by its cross-section area.
The strain energy is the energy stored in any body due to its deformation, also known as Resilience.

What is Eccentric Loading & Beam of Uniform Strength?

A load, whose line of action does not coincide with the axis of a column or a strut, is known as an eccentric load.
These beams have uniform cross section throughout their length. When they are loaded, there is a variation in bending moment from section to section along the length.

How to Calculate Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity?

Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity calculator uses Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section to calculate the Section Modulus for Eccentric Load on Beam, The Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity formula is defined as the maximum section modulus to ensure that the beam is fully in compression. Section Modulus for Eccentric Load on Beam is denoted by Z symbol.

How to calculate Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity using this online calculator? To use this online calculator for Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity, enter Eccentricity of Load (e') & Area of Cross-Section (A) and hit the calculate button. Here is how the Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity calculation can be explained with given input values -> 1.1E+15 = 0.2*0.0056.

FAQ

What is Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity?

The Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity formula is defined as the maximum section modulus to ensure that the beam is fully in compression and is represented as Z = e'*A or Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section. Eccentricity of Load is the distance from point of application of resultant to center of base & Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

How to calculate Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity?

The Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity formula is defined as the maximum section modulus to ensure that the beam is fully in compression is calculated using Section Modulus for Eccentric Load on Beam = Eccentricity of Load*Area of Cross-Section. To calculate Section Modulus to Maintain Stress as Wholly Compressive given Eccentricity, you need Eccentricity of Load (e') & Area of Cross-Section (A). With our tool, you need to enter the respective value for Eccentricity of Load & Area of Cross-Section 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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