A rigid beam AB is supported by a pin at A and twoidentical cables made of an elastic material. The cableshave length L and cross-sectional area A. The material hasmodulus of elasticity E. The beam has length 3a and a loadP is applied at end B.a) Determine the tension force in each cable due to theexternal load P.b) Determine the lateral deflection at end B due to theexternal load P.c) If the allowable tensile stress in the cable is 30 MPa andthe maximum elongation of the cable is 1mm, determinethe maximum load P that can be applied if L=1m,A=100mm², 3a=1.5m, and E=20 GPa.88LaCOaB

A rigid beam AB is supported by a pin at A and two identical cables made of an elastic material. The cables have length L and cross-sectional area A. The material has modulus of elasticity E. The beam has length 3a and a load P is applied at end B.

A rigid beam AB is supported by a pin at A and two identical cables made of an elastic material. The cables have length L and cross-sectional area A. The material has modulus of elasticity E. The beam has length 3a and a load P is applied at end B.

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A rigid beam AB is supported by a pin at A and two
identical cables made of an elastic material. The cables
have length L and cross-sectional area A. The material has
modulus of elasticity E. The beam has length 3a and a load
P is applied at end B.
a) Determine the tension force in each cable due to the
external load P.
b) Determine the lateral deflection at end B due to the
external load P.
c) If the allowable tensile stress in the cable is 30 MPa and
the maximum elongation of the cable is 1mm, determine
the maximum load P that can be applied if L=1m,
A=100mm², 3a=1.5m, and E=20 GPa.
8
8
L
a
CO
a
B

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