A metal block (E60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below. It has uniformly applied loads which results in uniform stresses on the surfaces as shown. Assuming a compressive stress of 200 MPa along x-direction, determine the magnitude of stress oy for which the change in the height of the bock will be zero, (b) the corresponding change in the area of the face ABCD, and (c) the corresponding change in the area of the volume of the block. 25mm a heads 40 24 100mm B RIGID SURFACE

A metal block (E60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below. It has uniformly applied loads which results in uniform stresses on the surfaces as shown. Assuming a compressive stress of 200 MPa along x-direction, determine the magnitude of stress oy for which the change in the height of the bock will be zero, (b) the corresponding change in the area of the face ABCD, and (c) the corresponding change in the area of the volume of the block. 25mm a heads 40 24 100mm B RIGID SURFACE

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

A metal block (E = 60 GPa and Poisson's ratio of 0.35) rests on a rigid surface as shown below.
It has uniformly applied loads which results in uniform stresses on the surfaces as shown.
Assuming a compressive stress of 200 MPa along x-direction, determine the magnitude of stress
oy for which the change in the height of the bock will be zero, (b) the corresponding change in
the area of the face ABCD, and (c) the corresponding change in the area of the volume of the
block.
40
2
100mm
25mm
</E
RIGID
SURFACE

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