Problem #1:4 steel bar (#1) (with E1 30x10 psi, a 6.0x10%/ F), and an aluminum bar (# 2) (with E2 = 10x10 psi, az = 12.0x10/°F), as shown in Figure 1. Both bars are subjected to a uniform temperature increase of AT 80°F. The dimensions drawn on the structure are a = 3 ft, b 4 ft, c= 5 ft, Li = 10 ft, and L2 = 20 ft. The cross sectional areas of the bars #1 and #2 are A1 = .75 in² and A2 = 1.25 in?, respectively. A load P-40,000 lb. is supported by a rigid bar ABCD pinned at A, a a) Draw a free body diagram of bar ABCD and write down the equilibrium equations (without solving them). Is the problem statically determinate or indeterminate? Why or why not? b) Find the forces in bars #1 and #2, and find the normal stresses o1 and oz in bars #1 and # 2. c) Find the downward vertical displacement op of point D. (2) (1) L Rigid bar 14 Figuce 1
Problem #1:4 steel bar (#1) (with E1 30x10 psi, a 6.0x10%/ F), and an aluminum bar (# 2) (with E2 = 10x10 psi, az = 12.0x10/°F), as shown in Figure 1. Both bars are subjected to a uniform temperature increase of AT 80°F. The dimensions drawn on the structure are a = 3 ft, b 4 ft, c= 5 ft, Li = 10 ft, and L2 = 20 ft. The cross sectional areas of the bars #1 and #2 are A1 = .75 in² and A2 = 1.25 in?, respectively. A load P-40,000 lb. is supported by a rigid bar ABCD pinned at A, a a) Draw a free body diagram of bar ABCD and write down the equilibrium equations (without solving them). Is the problem statically determinate or indeterminate? Why or why not? b) Find the forces in bars #1 and #2, and find the normal stresses o1 and oz in bars #1 and # 2. c) Find the downward vertical displacement op of point D. (2) (1) L Rigid bar 14 Figuce 1
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A load P-40,000 lb. is supported by a rigid bar ABCD pinned at A, a
Problem #1:
steel bar (#1) (with E1 30x 10 psi, a = 6.0x10/°F), and an aluminum bar (#2) (with E2
10x10 psi, az 12.0x10/°F), as shown in Figure 1. Both bars are subjected to a uniform
temperature increase of AT 80°F. The dimensions drawn on the structure are a 3 ft, b 4 ft,
c = 5 ft, Li = 10 ft, and L2 = 20 ft. The cross sectional areas of the bars #1 and #2 are A1 =.75 in?
and A2 1.25 in?, respectively.
a) Draw a free body diagram of bar ABCD and write down the equilibrium equations (without
solving them). Is the problem statically determinate or indeterminate? Why or why not?
b) Find the forces in bars #1 and # 2, and find the normal stresses oj and oz in bars #1 and #2.
c) Find the downward vertical displacement &p of point D.
(2)
(1)
Rigid bar
Figure 1
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