A horizontal load Pis applied to an assembly consisting of two inclined bars, as shown in the figure. The cross-sectional area of bar (1) is 1.65 in.?, and the cross-sectional area of bar (2) is 1.85 in.?. The normal stress in either bar may not exceed 23 ksi. Determine the maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft, b = 10.0 ft, and c = 14.5ft (1)

Mechanics of Materials (MindTap Course List)
9th Edition
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
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A horizontal load Pis applied to an assembly consisting of two inclined bars, as shown in the figure. The cross-sectional area of bar (1)
is 1.65 in.?, and the cross-sectional area of bar (2) is 1.85 in.?. The normal stress in either bar may not exceed 23 ksi. Determine the
maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft, b = 10.0 ft, and c = 14.5ft
(1)
b.
Part 1
Determine the allowable force F1 in member (1) and the allowable force F2 in member (2).
FLallow
kips
F2,allow
kips
i
Attempts: 0 of 1 used Submit Answer
Save for Later
Part 2
Part 3
Find the ratio, (F1 /F2), where F, is the force in member (1) and F2 is the force in member (2). Both bars are in tension, so these
forces are both positive according to the sign conventions.
FIF2 =
i
Transcribed Image Text:A horizontal load Pis applied to an assembly consisting of two inclined bars, as shown in the figure. The cross-sectional area of bar (1) is 1.65 in.?, and the cross-sectional area of bar (2) is 1.85 in.?. The normal stress in either bar may not exceed 23 ksi. Determine the maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft, b = 10.0 ft, and c = 14.5ft (1) b. Part 1 Determine the allowable force F1 in member (1) and the allowable force F2 in member (2). FLallow kips F2,allow kips i Attempts: 0 of 1 used Submit Answer Save for Later Part 2 Part 3 Find the ratio, (F1 /F2), where F, is the force in member (1) and F2 is the force in member (2). Both bars are in tension, so these forces are both positive according to the sign conventions. FIF2 = i
Part 4
Make an assumption for the maximum load case, referred to as "Load Case A", in which the force in member (1) will control the
capacity of the two-bar assembly. For this assumption, which may or may not be correct, the force in member (1) is
FIA = FLallow- Enter the value of the force in member 2 for Load Case A.
F24 =
kips
Save for Later
Attempts: 0 of 1used Submlt Answer
Part 5
Make a new assumption for the maximum load case, referred to as "Load Case B", in which the force in member (2) will control the
capacity of the two-bar assembly. For this assumption, which may or may not be correct, the force in member (2) is
F28 = F2.llow: Enter the value of the force in member 1 for Load Case B.
FLB =
kips
Save for Later
Attempts: 0 of 1used
Submit Answer
Part 6
Enter the forces in the members corresponding to the correct maximum load case assumption, Load Case A or Load Case B.
kips
F2 =
kips
Save for Later
Attempts: 0 of 1 used SubmitAnswer
Part 7
Determine the maximum load P that may be applied to this assembly.
Pmax =
kips
Transcribed Image Text:Part 4 Make an assumption for the maximum load case, referred to as "Load Case A", in which the force in member (1) will control the capacity of the two-bar assembly. For this assumption, which may or may not be correct, the force in member (1) is FIA = FLallow- Enter the value of the force in member 2 for Load Case A. F24 = kips Save for Later Attempts: 0 of 1used Submlt Answer Part 5 Make a new assumption for the maximum load case, referred to as "Load Case B", in which the force in member (2) will control the capacity of the two-bar assembly. For this assumption, which may or may not be correct, the force in member (2) is F28 = F2.llow: Enter the value of the force in member 1 for Load Case B. FLB = kips Save for Later Attempts: 0 of 1used Submit Answer Part 6 Enter the forces in the members corresponding to the correct maximum load case assumption, Load Case A or Load Case B. kips F2 = kips Save for Later Attempts: 0 of 1 used SubmitAnswer Part 7 Determine the maximum load P that may be applied to this assembly. Pmax = kips
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