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Determine the reactions for the beam shown if the vertical deflection at support B is zero. 100 kN 20 kN/m

Determine the reactions for the beam shown if the vertical deflection at support B is zero. 100 kN 20 kN/m

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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Determine the reactions for the beam shown if the vertical deflection at support B is zero. 100 kN 20 kN/m B 6m 9m SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD wl R = V wl R R wl2 M max (at center). 8 – x) = WX (1 Shear Av M.. .. 5w/4 384EI Amax (at center). M max WX (13 – 21x² + x³) 24EI Moment SIMPLE BEAM: CONCENTRATED LOAD AT ANY POINT |P Pb R = V, (max when a < b) R2 Pa 9. R2 = V2 (max when a > b) Pab M max (at point of load). Pbx Shear M, (when x < a) Pab(a + 2b)\3a(a + 2b) Amax (at x = \ala + 2b) when a > l 3 tx%3D M max 27EII Pa?b2 A. (at point of load) Moment 3EII A, (when x < a) Pbx (12 – b? – x2) 6EII
Transcribed Image Text:Determine the reactions for the beam shown if the vertical deflection at support B is zero. 100 kN 20 kN/m B 6m 9m SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD wl R = V wl R R wl2 M max (at center). 8 – x) = WX (1 Shear Av M.. .. 5w/4 384EI Amax (at center). M max WX (13 – 21x² + x³) 24EI Moment SIMPLE BEAM: CONCENTRATED LOAD AT ANY POINT |P Pb R = V, (max when a < b) R2 Pa 9. R2 = V2 (max when a > b) Pab M max (at point of load). Pbx Shear M, (when x < a) Pab(a + 2b)\3a(a + 2b) Amax (at x = \ala + 2b) when a > l 3 tx%3D M max 27EII Pa?b2 A. (at point of load) Moment 3EII A, (when x < a) Pbx (12 – b? – x2) 6EII
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