The structure in Figure 1 consists of a frame, two pulleys, one at B and another at C, and two wires(E-F and G-D). The frame is pinned to a wall by a single shear pin at A. The two wires are attachedto F, G, and D, and subjected to a downward vertical force of 75 lb at E. Note that the pulleys atB and C are assembled to the frame by double shear pins. The diameters of wires E-F and G-D are1 in and 1.5 in, respectively.1.6 ftBE75 lb4 ftG2 ft0.6 ftC2 ft5 ftDAFig. 1 Structure with pulliesa) Find expressions for normal force, shear force and bending moment diagrams as functionsof x measures from point B for the straight section A-B in the frame and plot thecorresponding diagrams. You must use the sign convention discussed in class for theinternal reactions to obtain your expressions.b) Determine the diameters of pins at A, B, and C so that their average shear stresses are thesame (10,000 psi).c) Find the average normal stresses in each wire.

The given solution is an example of using mechanical design to solve a problem requiring a frame,…

a) Find expressions for normal force, shear force and bending moment diagrams as functions of x measures from point B for the straight section A-B in the frame and plot the corresponding diagrams. You must use the sign convention discussed in class for the internal reactions to obtain your expressions. b) Determine the diameters of pins at A, B, and C so that their average shear stresses are the same (10,000 psi). c) Find the average normal stresses in each wire.

a) Find expressions for normal force, shear force and bending moment diagrams as functions of x measures from point B for the straight section A-B in the frame and plot the corresponding diagrams. You must use the sign convention discussed in class for the internal reactions to obtain your expressions. b) Determine the diameters of pins at A, B, and C so that their average shear stresses are the same (10,000 psi). c) Find the average normal stresses in each wire.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

The structure in Figure 1 consists of a frame, two pulleys, one at B and another at C, and two wires
(E-F and G-D). The frame is pinned to a wall by a single shear pin at A. The two wires are attached
to F, G, and D, and subjected to a downward vertical force of 75 lb at E. Note that the pulleys at
B and C are assembled to the frame by double shear pins. The diameters of wires E-F and G-D are
1 in and 1.5 in, respectively.
1.6 ft
B
E
75 lb
4 ft
G
2 ft
0.6 ft
C
2 ft
5 ft
D
A
Fig. 1 Structure with pullies
a) Find expressions for normal force, shear force and bending moment diagrams as functions
of x measures from point B for the straight section A-B in the frame and plot the
corresponding diagrams. You must use the sign convention discussed in class for the
internal reactions to obtain your expressions.
b) Determine the diameters of pins at A, B, and C so that their average shear stresses are the
same (10,000 psi).
c) Find the average normal stresses in each wire.

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