To analyze a beam subjected to a vertical force and a triangular distributed load, determine the reaction forces acting on each of the supports, determine the minimum pin diameter for one support subjected to single shear, and determine the average shear stress in a pin support subjected to double shear. As shown, beam BC is subjected to a load of magnitude P = 780.0 kN and a triangular distributed load of w = 510.0 kN/m. The support rod AB is oriented at an angle of θ = 150.0 ∘ from the beam. Let a = 4.000 m and b = 13.00 m . Cross-sectional views are shown for B and C. Determine the reaction force at B. Determine the reaction force at C. If the average shear stress in the material is not to exceed τavg = 150.0 MPa , determine the minimum required diameter for the pin at B. If the diameter of the pin is d = 125.0 mm, what is the average shear stress in the pin at C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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To analyze a beam subjected to a vertical force and a triangular distributed load, determine the reaction forces acting on each of the supports, determine the minimum pin diameter for one support subjected to single shear, and determine the average shear stress in a pin support subjected to double shear. As shown, beam BC is subjected to a load of magnitude P = 780.0 kN and a triangular distributed load of w = 510.0 kN/m. The support rod AB is oriented at an angle of θ = 150.0 ∘ from the beam. Let a = 4.000 m and b = 13.00 m . Cross-sectional views are shown for B and C.
Determine the reaction force at B.
 
Determine the reaction force at C.
 
If the average shear stress in the material is not to exceed τavg = 150.0 MPa , determine the minimum required diameter for the pin at B.
 
If the diameter of the pin is d = 125.0 mm, what is the average shear stress in the pin at C.
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