Determine the reactions for the beam shown if the vertical deflection at support B is zero. 3.0 kip/ft 16

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
Determine the reactions for the beam shown if the vertical deflection at support B is zero.
3.0 kip/ft
O B
16'
8'
SIMPLE BEAM: CONCENTRATED LOAD AT ANY POINT
SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD
Pb
R = V, (max when a < b)
R= V
wl
R
R2
Pa
R2 = V (max when a >b)
R
V, .
Pab
w
V
M max (at point of load).
M max (at center)
Pbx
Shear
M, (when x < a)
M. .
Shear
Amax (at x = \ala + 2b) when a > b) =
Pab(a + 2bN3a(a + 2b)
M max
Amax (at center),
27EI
Pah2
384EI
M max
Moment
A, (at point of load)
3EII
WX (3 – 21r2 + x³)
Pbx (2 - b2 - x)
4,
24EI
4, (when x <a)
Moment
Transcribed Image Text:Determine the reactions for the beam shown if the vertical deflection at support B is zero. 3.0 kip/ft O B 16' 8' SIMPLE BEAM: CONCENTRATED LOAD AT ANY POINT SIMPLE BEAM: UNIFORMLY DISTRIBUTED LOAD Pb R = V, (max when a < b) R= V wl R R2 Pa R2 = V (max when a >b) R V, . Pab w V M max (at point of load). M max (at center) Pbx Shear M, (when x < a) M. . Shear Amax (at x = \ala + 2b) when a > b) = Pab(a + 2bN3a(a + 2b) M max Amax (at center), 27EI Pah2 384EI M max Moment A, (at point of load) 3EII WX (3 – 21r2 + x³) Pbx (2 - b2 - x) 4, 24EI 4, (when x <a) Moment
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