Prove that the maximum stress induced in a body is given by:O = P/A, when the load is gradually appliedO = 2P/A, when the load is suddenly applied (h=D0)o = (P/A) * {1 + [1 + (2AEH/PL)]1/2]}, when the load is applied with impact (h>0)where,A, L and E are cross sectional area, length and modulus of elasticity of the body respectivelyP is the magnitude of the load and h is the height through which the load falls

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Prove that the maximum stress induced in a body is given by: • o = P/A, when the load is gradually applied O = 2P/A, when the load is suddenly applied (h=D0) O= (P/A) * {1 + [1+ (2AEH/PL)]/2]}, when the load is applied with impact (h>0) where,

Prove that the maximum stress induced in a body is given by: • o = P/A, when the load is gradually applied O = 2P/A, when the load is suddenly applied (h=D0) O= (P/A) * {1 + [1+ (2AEH/PL)]/2]}, when the load is applied with impact (h>0) where,

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

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

Prove that the maximum stress induced in a body is given by:
O = P/A, when the load is gradually applied
O = 2P/A, when the load is suddenly applied (h=D0)
o = (P/A) * {1 + [1 + (2AEH/PL)]1/2]}, when the load is applied with impact (h>0)
where,
A, L and E are cross sectional area, length and modulus of elasticity of the body respectively
P is the magnitude of the load and h is the height through which the load falls

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