Problem 16 The assembly shown supports a distributed load of w = 0.8 kip/ft. The pins at A and B are 0.4" in diameter and the rod has a ½” diameter. The yield strength of the pin in shear is 25 ksi and the rod's tensile yield strength is 38 ksi. a. Calculate the force in rod AB. Don't forget to draw a FBD! b. Calculate the factor of safety with respect to yielding in the rod. c. Calculate the factor of safety with respect to yielding for the pins. d. What value would you report as the final factor of safety for the structure? Explain your answer. Pin at B 3 ft B 4 ft A Pin at A 2 ft e. If the rod is made of structural steel (E = 29,000 ksi, v = 0.33), calculate the final diameter of rod AB. W

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 16
The assembly shown supports a distributed load of w = 0.8 kip/ft. The pins at A and B are 0.4" in
diameter and the rod has a ½" diameter. The yield strength of the pin in shear is 25 ksi and the
rod's tensile yield strength is 38 ksi.
a.
b. Calculate the factor of safety with respect to
yielding in the rod.
C.
Calculate the force in rod AB. Don't forget to draw
a FBD!
e.
Calculate the factor of safety with respect to
yielding for the pins.
d. What value would you report as the final factor
of safety for the structure? Explain your
answer.
Pin at B
3 ft
B
4 ft
Pin at A
2 ft
If the rod is made of structural steel (E = 29,000 ksi, v = 0.33), calculate the final diameter of rod AB.
W
Transcribed Image Text:Problem 16 The assembly shown supports a distributed load of w = 0.8 kip/ft. The pins at A and B are 0.4" in diameter and the rod has a ½" diameter. The yield strength of the pin in shear is 25 ksi and the rod's tensile yield strength is 38 ksi. a. b. Calculate the factor of safety with respect to yielding in the rod. C. Calculate the force in rod AB. Don't forget to draw a FBD! e. Calculate the factor of safety with respect to yielding for the pins. d. What value would you report as the final factor of safety for the structure? Explain your answer. Pin at B 3 ft B 4 ft Pin at A 2 ft If the rod is made of structural steel (E = 29,000 ksi, v = 0.33), calculate the final diameter of rod AB. W
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Mechanical Engineering homework question answer, step 1, image 1

The yield strength of the pin is τyp=25 ksi

The yield strength of the rod is σyr=38 ksi

The diameter of the pins is d=0.4 in

The diameter of the rod is D=0.5 in

The uniformly distributed load is w=0.8 kip/ft

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