Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Calculator

✖Moment of Inertia about Y-Y Axis is a measure of an object's resistance to bending or rotational deformation around the Y-axis.ⓘ Moment of Inertia about Y-Y Axis [I_yy]			+10% -10%
✖Distance b/w Outermost and Neutral Layer is the separation between the outermost fibers of a structural member (like a beam) and its neutral axis or neutral layer.ⓘ Distance b/w Outermost and Neutral Layer [Y_max]			+10% -10%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia [S]

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Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer
S = I_yy/Y_max
This formula uses 3 Variables

Variables Used

Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Moment of Inertia about Y-Y Axis - (Measured in Meter⁴) - Moment of Inertia about Y-Y Axis is a measure of an object's resistance to bending or rotational deformation around the Y-axis.
Distance b/w Outermost and Neutral Layer - (Measured in Meter) - Distance b/w Outermost and Neutral Layer is the separation between the outermost fibers of a structural member (like a beam) and its neutral axis or neutral layer.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia about Y-Y Axis: 5000000000 Millimeter⁴ --> 0.005 Meter⁴ (Check conversion here)
Distance b/w Outermost and Neutral Layer: 7500 Millimeter --> 7.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = I_yy/Y_max --> 0.005/7.5

Evaluating ... ...

S = 0.000666666666666667

STEP 3: Convert Result to Output's Unit

0.000666666666666667 Cubic Meter -->666666.666666667 Cubic Millimeter (Check conversion here)

FINAL ANSWER

666666.666666667 ≈ 666666.7 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Kernel of Hollow Rectangular Section » Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia

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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)

Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

LaTeX Go

Section Modulus = Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer
S = I_yy/Y_max

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 Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia?

Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia calculator uses Section Modulus = Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer to calculate the Section Modulus, The Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the y-y axis, providing a measure of the section's ability to resist deformation under load. Section Modulus is denoted by S symbol.

How to calculate Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia using this online calculator? To use this online calculator for Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia, enter Moment of Inertia about Y-Y Axis (I_yy) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button. Here is how the Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia calculation can be explained with given input values -> 6.7E+14 = 0.005/7.5.

FAQ

What is Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia?

The Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the y-y axis, providing a measure of the section's ability to resist deformation under load and is represented as S = I_yy/Y_max or Section Modulus = Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer. Moment of Inertia about Y-Y Axis is a measure of an object's resistance to bending or rotational deformation around the Y-axis & Distance b/w Outermost and Neutral Layer is the separation between the outermost fibers of a structural member (like a beam) and its neutral axis or neutral layer.

How to calculate Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia?

The Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the y-y axis, providing a measure of the section's ability to resist deformation under load is calculated using Section Modulus = Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer. To calculate Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia, you need Moment of Inertia about Y-Y Axis (I_yy) & Distance b/w Outermost and Neutral Layer (Y_max). With our tool, you need to enter the respective value for Moment of Inertia about Y-Y Axis & Distance b/w Outermost and Neutral Layer 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 Section Modulus?

In this formula, Section Modulus uses Moment of Inertia about Y-Y Axis & Distance b/w Outermost and Neutral Layer. We can use 3 other way(s) to calculate the same, which is/are as follows -

Section Modulus = (((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)
Section Modulus = ((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)
Section Modulus = Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer

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