Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar reaches its final temperature. Aluminum Bronze 15,000 Stainless Steel 28,000 11.1×106 9.6×10-6 Young's Modulus (ksi) 10,600 Coeff. Thermal Exp. (/°F) | 12.9×10-6

Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar reaches its final temperature. Aluminum Bronze 15,000 Stainless Steel 28,000 11.1×106 9.6×10-6 Young's Modulus (ksi) 10,600 Coeff. Thermal Exp. (/°F) | 12.9×10-6

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

Problem #1: The bar below is composed of three solids cylindrical pieces with the diameters
shown. The bar initially has a temperature of 70° F, and is slowly heated to a final temperature
of 116° F. If the bar initially has zero stress, find the axial stress in each section when the bar
reaches its final temperature.
Young's Modulus (ksi)
10,600
Coeff. Thermal Exp. (/°F) | 12.9×10-
A
Aluminum Bronze
15,000
12 in.
2014-T6 Aluminum
4 ft
Stainless Steel
28,000
11.1x10-6 9.6×10-6
B
C 86100 Bronze
8 in.
6 ft-
304 Stainless
steel
C 4 in.
3 ft
D

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