The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 aremade of materials with elastic-perfectly plastic behaviour. The yield stress of the material used forthe channel shape cross-section is σy = 449 MPa, whereas that used for the rectangular cross-section is 0.7%y.Compute the thickness of the web, t, of the channel shape section if the two cross sections haveidentical plastic bending moment about the z-axis.In Figure 4, h= 96 mm, b=43 mm, a=12 mm, H=96 mm, d= 43 mmNbhaZa |dH The numerical value of t can be calculated as

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Answered: Compute the thickness of the web, t, of…

Engineering

Mechanical Engineering

Compute the thickness of the web, t, of the channel shape section

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are
made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for
the channel shape cross-section is σy = 449 MPa, whereas that used for the rectangular cross-
section is 0.7%y.
Compute the thickness of the web, t, of the channel shape section if the two cross sections have
identical plastic bending moment about the z-axis.
In Figure 4, h= 96 mm, b=43 mm, a=12 mm, H=96 mm, d= 43 mm
N
b
h
a
Z
a |
d
H

The numerical value of t can be calculated as

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Step 1: Consider channel shape cross section.

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Step 2: Calculate the section modulus of the channel shape cross section about z-axis.

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Step 3: Calculate the section modulus of the rectangular shape cross section about z-axis.

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Step 4: Write the maximum normal bending stress equation for identical plastic bending moment.

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