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 = 407 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= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm N b h a + N P H

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 = 407 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= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm N b h a + N P H

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

calculate this ;

1. The numerical value of plastic section modulus of the solid rectangular section is

??3

2. The numerical value of plastic moment of the solid rectangular section is

N.mm

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= 407 MPa, whereas that used
for the rectangular cross-section is 0.90 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= 80 mm, b=42 mm, a=11 mm, H=80 mm, d= 42 mm
N
Hif
b
h
a
+
ta
a
Z
d
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

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