The two bars are made of polystyrene, which has the stress-strain diagram shown. If the cross-sectional area of bar AB is 975 mm² and BC is 2600 mm², determine the 2 2 largest force P that can be supported before any member ruptures. Assume that buckling does not occur. Include complete steps with explanations and FBD.

The two bars are made of polystyrene, which has the stress-strain diagram shown. If the cross-sectional area of bar AB is 975 mm² and BC is 2600 mm², determine the 2 2 largest force P that can be supported before any member ruptures. Assume that buckling does not occur. Include complete steps with explanations and FBD.

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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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

The two bars are made of polystyrene, which has the
stress-strain diagram shown. If the cross-sectional area of
bar AB is 975 mm² and BC is 2600 mm², determine the
largest force P that can be supported before any member
ruptures. Assume that buckling does not occur. Include
complete steps with explanations and FBD.
1m
baxilno
σ (MPa)
175
140
105
70
A
35ptension
0
0.20
-1.2 m
P
0.40
compression
B
0.60
0.80
€ (mm/mm)

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