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

✖Outer Depth is the depth of the outer surface.ⓘ Outer Depth [D]			+10% -10%
✖Inner Depth is the depth of the inside surface.ⓘ Inner Depth [d_i]			+10% -10%

✖Eccentricity of Load is the distance from point of application of resultant to center of base.ⓘ Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero [e']

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

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth)
e' = (D^2+d_i^2)/(8*D)
This formula uses 3 Variables

Variables Used

Eccentricity of Load - (Measured in Meter) - Eccentricity of Load is the distance from point of application of resultant to center of base.
Outer Depth - (Measured in Meter) - Outer Depth is the depth of the outer surface.
Inner Depth - (Measured in Meter) - Inner Depth is the depth of the inside surface.

STEP 1: Convert Input(s) to Base Unit

Outer Depth: 4000 Millimeter --> 4 Meter (Check conversion here)
Inner Depth: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e' = (D^2+d_i^2)/(8*D) --> (4^2+5^2)/(8*4)

Evaluating ... ...

e' = 1.28125

STEP 3: Convert Result to Output's Unit

1.28125 Meter -->1281.25 Millimeter (Check conversion here)

FINAL ANSWER

1281.25 Millimeter <-- Eccentricity of Load

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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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)

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

LaTeX Go

Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth)
e' = (D^2+d_i^2)/(8*D)

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

Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero calculator uses Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth) to calculate the Eccentricity of Load, The Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero formula is defined as the distance of the line of action from the center axis. The given is the maximum limit. Eccentricity of Load is denoted by e' symbol.

How to calculate Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero using this online calculator? To use this online calculator for Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero, enter Outer Depth (D) & Inner Depth (d_i) and hit the calculate button. Here is how the Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero calculation can be explained with given input values -> 1.3E+6 = (4^2+5^2)/(8*4).

FAQ

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

The Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero formula is defined as the distance of the line of action from the center axis. The given is the maximum limit and is represented as e' = (D^2+d_i^2)/(8*D) or Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth). Outer Depth is the depth of the outer surface & Inner Depth is the depth of the inside surface.

How to calculate Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero?

The Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero formula is defined as the distance of the line of action from the center axis. The given is the maximum limit is calculated using Eccentricity of Load = (Outer Depth^2+Inner Depth^2)/(8*Outer Depth). To calculate Eccentricity in Column for Hollow Circular Section when Stress at Extreme Fibre is Zero, you need Outer Depth (D) & Inner Depth (d_i). With our tool, you need to enter the respective value for Outer Depth & Inner Depth 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 Eccentricity of Load?

In this formula, Eccentricity of Load uses Outer Depth & Inner Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -

Eccentricity of Load = Dam Thickness/6
Eccentricity of Load = Diameter of Circular Shaft/8
Eccentricity of Load = Section Modulus for Eccentric Load on Beam/Area of Cross-Section

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