The stress-strain diagram for a polyester resin is given in Figure 2. The rigid beam AC is supported by a strut AB and post CD, where both are made from this resin material. a) When beam AC is subjected to a load of P = 80 kN, determine the angle of tilt of the beam when the load is applied. Assume that the diameter of the strut is 40 mm and the diameter of the post is 80 mm. b) Determine the largest load P that can be applied to the beam before it ruptures. Assume that the diameter of the strut is 12 mm and the diameter of the post is 40 mm. c) Based on the value of P in (b), suggest one material that will not rupture if the applied load is 5P. Explain your answer mathematically.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.12.7P
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The stress-strain diagram for a polyester resin is given in Figure 2. The rigid beam AC is
supported by a strut AB and post CD, where both are made from this resin material.
a) When beam AC is subjected to a load of P = 80 kN, determine the angle of tilt of the beam
when the load is applied. Assume that the diameter of the strut is 40 mm and the diameter
of the post is 80 mm.
b) Determine the largest load P that can be applied to the beam before it ruptures. Assume
that the diameter of the strut is 12 mm and the diameter of the post is 40 mm.
c) Based on the value of P in (b), suggest one material that will not rupture if the applied load
is 5P. Explain your answer mathematically.
Transcribed Image Text:The stress-strain diagram for a polyester resin is given in Figure 2. The rigid beam AC is supported by a strut AB and post CD, where both are made from this resin material. a) When beam AC is subjected to a load of P = 80 kN, determine the angle of tilt of the beam when the load is applied. Assume that the diameter of the strut is 40 mm and the diameter of the post is 80 mm. b) Determine the largest load P that can be applied to the beam before it ruptures. Assume that the diameter of the strut is 12 mm and the diameter of the post is 40 mm. c) Based on the value of P in (b), suggest one material that will not rupture if the applied load is 5P. Explain your answer mathematically.
σ(MPa)
100
95
B
80
compression
70
2 m
60
50
40
tension
32.2
20
A
C
0.75 m '0.75 m
0.5 m
D
e (mm/mm)
0.01 0.02 0.03 0.04
Transcribed Image Text:σ(MPa) 100 95 B 80 compression 70 2 m 60 50 40 tension 32.2 20 A C 0.75 m '0.75 m 0.5 m D e (mm/mm) 0.01 0.02 0.03 0.04
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