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 dy=441 MPa, whereas that used for the rectangular cross-section is 0.70y. 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= 83 mm, b=48 mm, a=12 mm, H=83 mm, d= 48 mm

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
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Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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Question 4
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=441 MPa,
whereas that used for the rectangular cross-section is 0.70y.
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= 83 mm, b=48 mm, a=12 mm, H-83 mm, d= 48 mm
Z
H
b
h
Z
d
H
Transcribed Image Text:Question 4 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=441 MPa, whereas that used for the rectangular cross-section is 0.70y. 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= 83 mm, b=48 mm, a=12 mm, H-83 mm, d= 48 mm Z H b h Z d H
Part a)
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
Transcribed Image Text:Part a) 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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