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The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 425 × 106 mm4]. Assume P = 35 kN, w = 10 kN/m, LAB = 1.50 m, and LBC = 2.00 m. Using Appendix C and method of superposition, determine: (a) the beam deflection at point A. [vA = -4.54 mm] (b) the beam deflection at point B.

The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 425 × 106 mm4]. Assume P = 35 kN, w = 10 kN/m, LAB = 1.50 m, and LBC = 2.00 m. Using Appendix C and method of superposition, determine: (a) the beam deflection at point A. [vA = -4.54 mm] (b) the beam deflection at point B.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 425 × 106 mm4]. Assume P = 35 kN, w = 10 kN/m, LAB = 1.50 m, and LBC = 2.00 m. Using Appendix C and method of superposition, determine:
(a) the beam deflection at point A. [vA = -4.54 mm]
(b) the beam deflection at point B. [vB = -2.07 mm]

P C A B LAB LBC
Transcribed Image Text:P C A B LAB LBC
Beam Slope Deflection Elastic Curve PL Px? -(3L – x) 6EI PL? 0max = Vmax = y = Vmax. 2EI ЗЕ Omax Px2 -(3L – 2x) 12EI for 0 <x S y = - PL? 5PL? 0max = Vmax = 8 ΕΙ 48EI PL? - (6х — L) 48EI Vmax V = - for emax Mx? V = - 2EI ML ML? 0max = Vmax = Vmax. EI 2EI Omax wL wx? (6L? – 4Lx + x²) 24EI wL 10 0max = Vmax = V = 6EI 8EI ,'max max Wo Wox? -(10L – 10L?x + 5Lx² – x³) 11 0max = Vmax = 24EI 30EI 120LEI Vmax Pmax
Transcribed Image Text:Beam Slope Deflection Elastic Curve PL Px? -(3L – x) 6EI PL? 0max = Vmax = y = Vmax. 2EI ЗЕ Omax Px2 -(3L – 2x) 12EI for 0 <x S y = - PL? 5PL? 0max = Vmax = 8 ΕΙ 48EI PL? - (6х — L) 48EI Vmax V = - for emax Mx? V = - 2EI ML ML? 0max = Vmax = Vmax. EI 2EI Omax wL wx? (6L? – 4Lx + x²) 24EI wL 10 0max = Vmax = V = 6EI 8EI ,'max max Wo Wox? -(10L – 10L?x + 5Lx² – x³) 11 0max = Vmax = 24EI 30EI 120LEI Vmax Pmax
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