Area to Maintain Stress as Wholly Compressive given Eccentricity Calculator

✖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 for Eccentric Load on Beam [Z]			+10% -10%
✖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 to Maintain Stress as Wholly Compressive given Eccentricity [A]

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Area to Maintain Stress as Wholly Compressive given Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Section Modulus for Eccentric Load on Beam: 1120000 Cubic Millimeter --> 0.00112 Cubic Meter (Check conversion here)
Eccentricity of Load: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = Z/e' --> 0.00112/0.2

Evaluating ... ...

A = 0.0056

STEP 3: Convert Result to Output's Unit

0.0056 Square Meter -->5600 Square Millimeter (Check conversion here)

FINAL ANSWER

5600 Square Millimeter <-- Area of Cross-Section

(Calculation completed in 00.014 seconds)

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< Strain Energy Calculators

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

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

Area to Maintain Stress as Wholly Compressive given Eccentricity

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

Eccentricity for Rectangular Section to maintain Stress as Wholly Compressive

LaTeX Go Eccentricity of Load = Dam Thickness/6

Breadth for Rectangular Section to Maintain Stress as Wholly Compressive

LaTeX Go Dam Thickness = 6*Eccentricity of Load

< Structural Analysis of Beams Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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

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

Area to Maintain Stress as Wholly Compressive given Eccentricity Formula

LaTeX Go

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

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 Area to Maintain Stress as Wholly Compressive given Eccentricity?

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

How to calculate Area to Maintain Stress as Wholly Compressive given Eccentricity using this online calculator? To use this online calculator for Area to Maintain Stress as Wholly Compressive given Eccentricity, enter Section Modulus for Eccentric Load on Beam (Z) & Eccentricity of Load (e') and hit the calculate button. Here is how the Area to Maintain Stress as Wholly Compressive given Eccentricity calculation can be explained with given input values -> 0.0056 = 0.00112/0.2.

FAQ

What is Area to Maintain Stress as Wholly Compressive given Eccentricity?

The Area to Maintain Stress as Wholly Compressive given Eccentricity formula is defined as the minimum area to ensure that the beam is fully in compression and is represented as A = Z/e' or Area of Cross-Section = Section Modulus for Eccentric Load on Beam/Eccentricity of Load. 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 is the distance from point of application of resultant to center of base.

How to calculate Area to Maintain Stress as Wholly Compressive given Eccentricity?

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