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

✖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 Dimension of Section [S]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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

Evaluating ... ...

S = 0.00120000190666667

STEP 3: Convert Result to Output's Unit

0.00120000190666667 Cubic Meter -->1200001.90666667 Cubic Millimeter (Check conversion here)

FINAL ANSWER

1200001.90666667 ≈ 1.2E+6 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 Dimension of Section

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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 Dimension of 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 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 Dimension of Section?

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section calculator uses 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) to calculate the Section Modulus, The Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending and is used to calculate the stress and strain in beams and columns under various types of loads. Section Modulus is denoted by S symbol.

How to calculate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section using this online calculator? To use this online calculator for Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of 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 Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section calculation can be explained with given input values -> 3.9E+16 = (((0.48^3)*(0.1160211))-((0.6)*(0.25^3)))/(6*0.48).

FAQ

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

The Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending and is used to calculate the stress and strain in beams and columns under various types of loads and is represented as S = (((B_outer^3)*(L_outer))-((L_inner)*(B_inner^3)))/(6*B_outer) or 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). 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 Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

The Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending and is used to calculate the stress and strain in beams and columns under various types of loads is calculated using 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). To calculate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of 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.

How many ways are there to calculate Section Modulus?

In this formula, Section Modulus uses Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Inner Length of Hollow Rectangle & Inner Breadth of Hollow Rectangular Section. We can use 3 other way(s) to calculate the same, which is/are as follows -

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