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

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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. Check FAQs

e xx = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer \cdot ((B outer \cdot (L outer)) - ((L inner) \cdot B inner))}

e_xx - Eccentricity of Load about X-X Axis?B_outer - Outer Breadth of Hollow Rectangular Section?L_outer - Outer Length of Hollow Rectangle?L_inner - Inner Length of Hollow Rectangle?B_inner - Inner Breadth of Hollow Rectangular Section?

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

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Here is how the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section equation looks like with Values.

Here is how the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section equation looks like with Units.

Here is how the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section equation looks like.

811.1052 = \frac{(480 \cdot ({116.0211}^{3})) - ((600^{3}) \cdot 250)}{6 \cdot 116.0211 \cdot ((480 \cdot (116.0211)) - ((600) \cdot 250))}

811.1052mm = \frac{(480mm \cdot ({116.0211mm}^{3})) - (({600mm}^{3}) \cdot 250mm)}{6 \cdot 116.0211mm \cdot ((480mm \cdot (116.0211mm)) - ((600mm) \cdot 250mm))}

811.1052 = \frac{(480 \cdot ({116.0211}^{3})) - ((600^{3}) \cdot 250)}{6 \cdot 116.0211 \cdot ((480 \cdot (116.0211)) - ((600) \cdot 250))}

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

Follow our step by step solution on how to calculate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

FIRST Step Consider the formula

e xx = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer \cdot ((B outer \cdot (L outer)) - ((L inner) \cdot B inner))}

Next Step Substitute values of Variables

∴

e xx = \frac{(480mm \cdot ({116.0211mm}^{3})) - (({600mm}^{3}) \cdot 250mm)}{6 \cdot 116.0211mm \cdot ((480mm \cdot (116.0211mm)) - ((600mm) \cdot 250mm))}

Next Step Convert Units

∴

e xx = \frac{(0.48m \cdot ({0.116m}^{3})) - (({0.6m}^{3}) \cdot 0.25m)}{6 \cdot 0.116m \cdot ((0.48m \cdot (0.116m)) - ((0.6m) \cdot 0.25m))}

Next Step Prepare to Evaluate

∴

e xx = \frac{(0.48 \cdot ({0.116}^{3})) - (({0.6}^{3}) \cdot 0.25)}{6 \cdot 0.116 \cdot ((0.48 \cdot (0.116)) - ((0.6) \cdot 0.25))}

Next Step Evaluate

∴

e xx = 0.811105174101149m

Next Step Convert to Output's Unit

∴

e xx = 811.105174101149mm

LAST Step Rounding Answer

∴

e xx = 811.1052mm

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

Variables

Eccentricity of Load about X-X Axis

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.

Symbol: e_xx

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Load about X-X Axis

Outer Breadth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.

Symbol: B_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Rectangular Section

Outer Length of Hollow Rectangle

Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.

Symbol: L_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Length of Hollow Rectangle

Inner Length of Hollow Rectangle

Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.

Symbol: L_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

Symbol: B_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Other formulas in Kernel of Hollow Rectangular Section category

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

e yy = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer \cdot (((B outer) \cdot (L outer)) - ((L inner) \cdot (B inner)))}

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

L inner = \frac{(({B outer}^{3}) \cdot (L outer)) - (6 \cdot S \cdot B outer)}{{B inner}^{3}}

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

L outer = \frac{(6 \cdot S \cdot B outer) + ((L inner) \cdot ({B inner}^{3}))}{{B outer}^{3}}

Go Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

S = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer}

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

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section evaluator 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 evaluate 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 evaluate Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

What is the formula to find Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

The formula of Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section is expressed as 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))). Here is an example- 811105.2 = ((0.48*(0.1160211^3))-((0.6^3)*0.25))/(6*0.1160211*((0.48*(0.1160211))-((0.6)*0.25))).

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

With 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) we can find Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section using the formula - 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))).

Can the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section be negative?

No, the Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section, measured in Length cannot be negative.

Which unit is used to measure Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section?

Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section can be measured.

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

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

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

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

Other formulas in Kernel of Hollow Rectangular Section category

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

FAQs on Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

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