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 oy = 432 MPa, whereas that used for the rectangular cross- section is 0.90y. 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.

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 oy = 432 MPa, whereas that used for the rectangular cross- section is 0.90y. 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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.2P: A bar with a circular cross section having two different diameters d and 2d is shown in the figure....

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Part b) calculate the value of t

The numerical value of tt can be calculated as

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 oy = 432 MPa, whereas that used for the rectangular cross-
section is 0.90y.
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= 81 mm, b=58 mm, a=12 mm, H=81 mm,
N
Hit
b
Fa
а
h
Z
a +
d
d= 58 mm
H

1. The numerical value of plastic section modulus of the solid rectangular section is
mm³
2. The numerical value of plastic moment of the solid rectangular section is
N.mm
Part b) calculate the value of t
The numerical value of t can be calculated as
mm

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