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 1.45 in.?, and the cross-sectional area of bar (2) is 1.90 in.?. The normal stress in either bar may not exceed 24 ksi. Determine the maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft, b = 7.5 ft, and c = 12.0 ft.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.12.16P
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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
F2.B = F2, allow- Enter the value of the force in member 1 for Load Case B.
F1B =
kips
Enter the forces in the members corresponding to the correct maximum load case assumption, Load Case A or Load Case B.
F1 =
kips
F2 =
i
kips
Determine the maximum load P that may be applied to this assembly.
Pmax
kips
Transcribed Image Text: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 F2.B = F2, allow- Enter the value of the force in member 1 for Load Case B. F1B = kips Enter the forces in the members corresponding to the correct maximum load case assumption, Load Case A or Load Case B. F1 = kips F2 = i kips Determine the maximum load P that may be applied to this assembly. Pmax kips
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 1.45 in.?, and the cross-sectional area of bar (2) is 1.90 in.². The normal stress in either bar may not exceed 24 ksi. Determine the
maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft,b = 7.5 ft, and c = 12.0 ft.
(1)
a
B
(2)
Determine the allowable force F1 in member (1) and the allowable force F2 in member (2).
F1, allow =
i
kips
F2, allow =
i
kips
Find the ratio, (F1 /F2), where F1 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.
F1/F2 =
i
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
F1A = F1, allow- Enter the value of the force in member 2 for Load Case A.
F2.A
i
kips
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 1.45 in.?, and the cross-sectional area of bar (2) is 1.90 in.². The normal stress in either bar may not exceed 24 ksi. Determine the maximum load P that may be applied to this assembly. Assume dimensions of a = 15.0 ft,b = 7.5 ft, and c = 12.0 ft. (1) a B (2) Determine the allowable force F1 in member (1) and the allowable force F2 in member (2). F1, allow = i kips F2, allow = i kips Find the ratio, (F1 /F2), where F1 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. F1/F2 = i 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 F1A = F1, allow- Enter the value of the force in member 2 for Load Case A. F2.A i kips
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