Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section Calculator

✖Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.ⓘ Outer Breadth of Hollow Rectangular Section [B_outer]			+10% -10%
✖Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.ⓘ Outer Length of Hollow Rectangle [L_outer]			+10% -10%
✖Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%

✖The Eccentricity of Load about X-X Axis is the distance from the center of gravity of the column section to the center of gravity of the applied load.ⓘ Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section [e_xx]

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Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section)))
e_xx = ((B_outer*(L_outer^3))-((L_inner^3)*B_inner))/(6*L_outer*((B_outer*(L_outer))-((L_inner)*B_inner)))
This formula uses 5 Variables

Variables Used

Eccentricity of Load about X-X Axis - (Measured in Meter) - The Eccentricity of Load about X-X Axis is the distance from the center of gravity of the column section to the center of gravity of the applied load.
Outer Breadth of Hollow Rectangular Section - (Measured in Meter) - Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.
Outer Length of Hollow Rectangle - (Measured in Meter) - Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

STEP 1: Convert Input(s) to Base Unit

Outer Breadth of Hollow Rectangular Section: 480 Millimeter --> 0.48 Meter (Check conversion here)
Outer Length of Hollow Rectangle: 116.0211 Millimeter --> 0.1160211 Meter (Check conversion here)
Inner Length of Hollow Rectangle: 600 Millimeter --> 0.6 Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 250 Millimeter --> 0.25 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_xx = ((B_outer*(L_outer^3))-((L_inner^3)*B_inner))/(6*L_outer*((B_outer*(L_outer))-((L_inner)*B_inner))) --> ((0.48*(0.1160211^3))-((0.6^3)*0.25))/(6*0.1160211*((0.48*(0.1160211))-((0.6)*0.25)))

Evaluating ... ...

e_xx = 0.811105174101149

STEP 3: Convert Result to Output's Unit

0.811105174101149 Meter -->811.105174101149 Millimeter (Check conversion here)

FINAL ANSWER

811.105174101149 ≈ 811.1052 Millimeter <-- Eccentricity of Load about X-X Axis

(Calculation completed in 00.004 seconds)

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< Kernel of Hollow Rectangular Section Calculators

Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

LaTeX Go Eccentricity of Load about Y-Y Axis = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(6*Outer Breadth of Hollow Rectangular Section*(((Outer Breadth of Hollow Rectangular Section)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section))))

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

LaTeX Go Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section)))

Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis

LaTeX Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-(6*Section Modulus*Outer Breadth of Hollow Rectangular Section))/(Inner Breadth of Hollow Rectangular Section^3)

External Length of hollow Rectangular Section using Section Modulus about y-y axis

LaTeX Go Outer Length of Hollow Rectangle = ((6*Section Modulus*Outer Breadth of Hollow Rectangular Section)+((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(Outer Breadth of Hollow Rectangular Section^3)

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section Formula

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What is Eccentricity?

Eccentricity in structural engineering and mechanics refers to the distance between the line of action of an applied load and the centroid of the cross-section of a structural member (such as a column, beam, or footing). When a load is applied eccentrically, it creates additional stresses due to a moment or torque caused by the offset distance, leading to bending in addition to the usual direct (axial) stress.

How to Calculate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section calculator uses Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section))) to calculate the Eccentricity of Load about X-X Axis, The Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the x-axis in a hollow rectangular section, which is essential in calculating the stress and strain on the section under various loads. Eccentricity of Load about X-X Axis is denoted by e_xx symbol.

How to calculate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section using this online calculator? To use this online calculator for Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) and hit the calculate button. Here is how the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section calculation can be explained with given input values -> 811105.2 = ((0.48*(0.1160211^3))-((0.6^3)*0.25))/(6*0.1160211*((0.48*(0.1160211))-((0.6)*0.25))).

FAQ

What is Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

The Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the x-axis in a hollow rectangular section, which is essential in calculating the stress and strain on the section under various loads and is represented as e_xx = ((B_outer*(L_outer^3))-((L_inner^3)*B_inner))/(6*L_outer*((B_outer*(L_outer))-((L_inner)*B_inner))) or Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section))). Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section, Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle, Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior & Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

How to calculate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

The Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the x-axis in a hollow rectangular section, which is essential in calculating the stress and strain on the section under various loads is calculated using Eccentricity of Load about X-X Axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section))). To calculate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section, you need Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner). With our tool, you need to enter the respective value for Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Inner Length of Hollow Rectangle & Inner Breadth of Hollow Rectangular 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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