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=405 MPa, whereas that used for the rectangular cross- section is 0.85øy. 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= 74 mm, b=52 mm, a=8 mm, H=74 mm, d= 52 mm Z b Figure Q4 Z d 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=405 MPa, whereas that used for the rectangular cross- section is 0.85øy. 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= 74 mm, b=52 mm, a=8 mm, H=74 mm, d= 52 mm Z b Figure Q4 Z d H

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Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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

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

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 y=405 MPa, whereas that used for the rectangular cross-
section is 0.850y.
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= 74 mm, b=52 mm, a-8 mm, H=74 mm, d= 52 mm
Z
b
h
Figure Q4
Z
d
H

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