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 = Iyy/Ymax
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 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 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 = Iyy/Ymax --> 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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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 y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

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

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 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 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 (Iyy) & Distance b/w Outermost and Neutral Layer (Ymax) 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 for a given cross-section used in the design of beams or flexural members and is represented as S = Iyy/Ymax 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 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 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 for a given cross-section used in the design of beams or flexural members 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 (Iyy) & Distance b/w Outermost and Neutral Layer (Ymax). 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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