The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 450 × 106 mm4]. Assume P = 50 kN, w = 10 kN/m, LAB = 1.00 m, and LBC = 2.00 m. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m. Answer: vA,w = mm. Part 2 Determine the component of the beam deflection at point B due to only the concentrated load of P = 50 kN. Answer: vB,P = mm. Part 3 Determine the component of the rotation angle of the beam at point B due to only the concentrated load of P = 50 kN. Answer: θB,P= rad.
The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 450 × 106 mm4]. Assume P = 50 kN, w = 10 kN/m, LAB = 1.00 m, and LBC = 2.00 m. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m. Answer: vA,w = mm. Part 2 Determine the component of the beam deflection at point B due to only the concentrated load of P = 50 kN. Answer: vB,P = mm. Part 3 Determine the component of the rotation angle of the beam at point B due to only the concentrated load of P = 50 kN. Answer: θB,P= rad.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 450 × 106 mm4]. Assume P = 50 kN, w = 10 kN/m, LAB = 1.00 m, and LBC = 2.00 m. For the loading shown, determine:
(a) the beam deflection at point A.
(b) the beam deflection at point B.
Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m.
Answer: vA,w = mm.
(a) the beam deflection at point A.
(b) the beam deflection at point B.
Determine the component of the beam deflection at point A due to only the uniformly distributed load of w = 10 kN/m.
Answer: vA,w = mm.
Part 2
Determine the component of the beam deflection at point B due to only the concentrated load of P = 50 kN.
Answer: vB,P = mm.
Answer: vB,P = mm.
Part 3
Determine the component of the rotation angle of the beam at point B due to only the concentrated load of P = 50 kN.
Answer: θB,P= rad.
Answer: θB,P= rad.
Part 4
Determine the component of the beam deflection at point A due to only the concentrated load of P = 50 kN.
Answer: vA,P = mm.
Answer: vA,P = mm.
Part 5
Determine the total beam deflection at point A due to the combined effects of the concentrated load P and the uniformly distributed load w.
Answer: vA = mm.
Answer: vA = mm.
Part 6
Determine the component of the beam deflection at point B due to only the uniformly distributed load of w = 10 kN/m.
Answer: vB,w = mm.
Answer: vB,w = mm.
Part 7
Determine the total beam deflection at point B due to the combined effects of the concentrated load P and the uniformly distributed load w.
Answer: vB = mm.
Answer: vB = mm.
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