Maximum Eccentricity of Load about Y 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%

✖Eccentricity of Load about Y-Y Axis is the distance between the center of gravity of an applied load and the Y-Y axis of a structure or component.ⓘ Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section [e_yy]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))))
e_yy = (((B_outer^3)*(L_outer))-((L_inner)*(B_inner^3)))/(6*B_outer*(((B_outer)*(L_outer))-((L_inner)*(B_inner))))
This formula uses 5 Variables

Variables Used

Eccentricity of Load about Y-Y Axis - (Measured in Meter) - Eccentricity of Load about Y-Y Axis is the distance between the center of gravity of an applied load and the Y-Y axis of a structure or component.
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_yy = (((B_outer^3)*(L_outer))-((L_inner)*(B_inner^3)))/(6*B_outer*(((B_outer)*(L_outer))-((L_inner)*(B_inner)))) --> (((0.48^3)*(0.1160211))-((0.6)*(0.25^3)))/(6*0.48*(((0.48)*(0.1160211))-((0.6)*(0.25))))

Evaluating ... ...

e_yy = -0.0127240328209402

STEP 3: Convert Result to Output's Unit

-0.0127240328209402 Meter -->-12.7240328209402 Millimeter (Check conversion here)

FINAL ANSWER

-12.7240328209402 ≈ -12.724033 Millimeter <-- Eccentricity of Load about Y-Y Axis

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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 Y Axis for Hollow Rectangular Section Formula

LaTeX Go

Is Bending Stress a Normal Stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

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

Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section calculator uses 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)))) to calculate the Eccentricity of Load about Y-Y Axis, The Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the y-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 Y-Y Axis is denoted by e_yy symbol.

How to calculate Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section using this online calculator? To use this online calculator for Maximum Eccentricity of Load about Y 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 Y Axis for Hollow Rectangular Section calculation can be explained with given input values -> 103134.4 = (((0.48^3)*(0.1160211))-((0.6)*(0.25^3)))/(6*0.48*(((0.48)*(0.1160211))-((0.6)*(0.25)))).

FAQ

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

The Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the y-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_yy = (((B_outer^3)*(L_outer))-((L_inner)*(B_inner^3)))/(6*B_outer*(((B_outer)*(L_outer))-((L_inner)*(B_inner)))) or 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)))). 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 Y Axis for Hollow Rectangular Section?

The Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section formula is defined as a measure of the maximum distance of the load from the y-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 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)))). To calculate Maximum Eccentricity of Load about Y 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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