✖Moment of Inertia about x-x axis is defined as the quantity expressed by the body resisting angular acceleration.ⓘ Moment of Inertia about x-x axis [I_xx]			+10% -10%
✖Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.ⓘ 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 x-x axis for Hollow Rectangular Section given Moment of Inertia [S]

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

Formula

`"S" = "I"_{"xx"}/"Y"_{"max"}`

Example

`"813333.3mm³"="6.1E9mm⁴"/"7500mm"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer
S = I_xx/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 x-x axis - (Measured in Meter⁴) - Moment of Inertia about x-x axis is defined as the quantity expressed by the body resisting angular acceleration.
Distance b/w Outermost and Neutral Layer - (Measured in Meter) - Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia about x-x axis: 6100000000 Millimeter⁴ --> 0.0061 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_xx/Y_max --> 0.0061/7.5

Evaluating ... ...

S = 0.000813333333333333

STEP 3: Convert Result to Output's Unit

0.000813333333333333 Cubic Meter -->813333.333333333 Cubic Millimeter (Check conversion here)

FINAL ANSWER

813333.333333333 ≈ 813333.3 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 x-x axis for Hollow Rectangular Section given Moment of Inertia

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< 13 Kernel Of Hollow Rectangular Section Calculators

Maximum eccentricity of load about y axis for hollow rectangular section

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

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)))

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

Go 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)

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

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

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)

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis

Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)

Section modulus about x-x axis for hollow rectangular section in terms length and width of section

Go 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)

Internal Width of Hollow Rectangular Section given Section Modulus about x-x axis

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

External Width of Hollow Rectangular Section given Section Modulus about x-x axis

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

Moment of Inertia about xx axis for Hollow Rectangular Section

Go Moment of Inertia about x-x axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12)

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

Go Section Modulus = Moment of Inertia about y-y axis/Distance b/w Outermost and Neutral Layer

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

Go Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer

Distance of outermost layer from neutral axis for hollow rectangular section

Go Distance b/w Outermost and Neutral Layer = Outer Length of Hollow Rectangle/2

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

Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer
S = I_xx/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 x-x axis for Hollow Rectangular Section given Moment of Inertia?

Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia calculator uses Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer to calculate the Section Modulus, The Section modulus about x-x axis for hollow rectangular section given moment of inertia formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus is denoted by S symbol.

How to calculate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia using this online calculator? To use this online calculator for Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia, enter Moment of Inertia about x-x axis (I_xx) & Distance b/w Outermost and Neutral Layer (Y_max) and hit the calculate button. Here is how the Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia calculation can be explained with given input values -> 8.1E+14 = 0.0061/7.5.

FAQ

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

The Section modulus about x-x axis for hollow rectangular section given moment of inertia formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members and is represented as S = I_xx/Y_max or Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer. Moment of Inertia about x-x axis is defined as the quantity expressed by the body resisting angular acceleration & Distance b/w outermost and neutral layer is a numerical measurement of how far apart objects or points are.

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

The Section modulus about x-x axis for hollow rectangular section given moment of inertia formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members is calculated using Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer. To calculate Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia, you need Moment of Inertia about x-x axis (I_xx) & Distance b/w Outermost and Neutral Layer (Y_max). With our tool, you need to enter the respective value for Moment of Inertia about x-x 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 x-x 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 = 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)

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