Answered: 500 mm Al A 400 kN/m 0.5 m B 40mm 0.5 m…

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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Question

The rigid beam shown in the Figure is fixed at the top by two posts (dext = 40mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σ Fe) in the posts. Determine the angle of inclination of the beam (in degrees) when a homogeneously distributed load of 400 kN/m is applied. Calculate the factors of safety. Use E Fe = 200 GPa , and Eal = 70 GPa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa)

(answers:/ δAl = -1.14 mm ; δFe = -0.40 mm σAl = -159 Mpa ; σFe = -159 Mpa ; angle ≈ 0.04° FSAL = 1.3 FSFE = 4.9)

500 mm
Al
A
400 kN/m
0.5 m
B
40mm
0.5 m
Fe
C

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