Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
S = ((Bouter*(Louter^3))-((Linner^3)*Binner))/(6*Louter)
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 = ((Bouter*(Louter^3))-((Linner^3)*Binner))/(6*Louter) --> ((0.48*(0.1160211^3))-((0.6^3)*0.25))/(6*0.1160211)
Evaluating ... ...
S = -0.076495225148017
STEP 3: Convert Result to Output's Unit
-0.076495225148017 Cubic Meter -->-76495225.148017 Cubic Millimeter (Check conversion ​here)
FINAL ANSWER
-76495225.148017 Cubic Millimeter <-- Section Modulus
(Calculation completed in 00.004 seconds)

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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 x-x Axis for Hollow Rectangular Section in terms Length and Width of Section Formula

​LaTeX ​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)
S = ((Bouter*(Louter^3))-((Linner^3)*Binner))/(6*Louter)

What is the Section Modulus?

The Section Modulus is a geometric property of a cross-section used in engineering, particularly in the fields of structural and mechanical design. It is crucial in determining the strength and load-carrying capacity of structural members such as beams.

How to Calculate Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section?

Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section calculator uses 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) to calculate the Section Modulus, The Section Modulus about X-X Axis for Hollow Rectangular Section in terms Length and Width of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the x-x axis, providing a measure of the section's ability to withstand external loads and stresses. Section Modulus is denoted by S symbol.

How to calculate Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section using this online calculator? To use this online calculator for Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section, enter Outer Breadth of Hollow Rectangular Section (Bouter), Outer Length of Hollow Rectangle (Louter), Inner Length of Hollow Rectangle (Linner) & Inner Breadth of Hollow Rectangular Section (Binner) and hit the calculate button. Here is how the Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section calculation can be explained with given input values -> 8.9E+16 = ((0.48*(0.1160211^3))-((0.6^3)*0.25))/(6*0.1160211).

FAQ

What is Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section?
The Section Modulus about X-X Axis for Hollow Rectangular Section in terms Length and Width of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the x-x axis, providing a measure of the section's ability to withstand external loads and stresses and is represented as S = ((Bouter*(Louter^3))-((Linner^3)*Binner))/(6*Louter) or 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). 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 x-x Axis for Hollow Rectangular Section in terms Length and Width of Section?
The Section Modulus about X-X Axis for Hollow Rectangular Section in terms Length and Width of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending around the x-x axis, providing a measure of the section's ability to withstand external loads and stresses is calculated using 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). To calculate Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section, you need Outer Breadth of Hollow Rectangular Section (Bouter), Outer Length of Hollow Rectangle (Louter), Inner Length of Hollow Rectangle (Linner) & Inner Breadth of Hollow Rectangular Section (Binner). 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 = (((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 = Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer
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