For the beam shown find reactions and draw shear and moment diagrams. A is a pin and B & roller. are a 100k B 12. 18

Structural Analysis
6th Edition
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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For the beam shown find reactions and draw shear and moment diagrams. A is a pin and B &
roller.
are a
10ok
B
12.
18
Transcribed Image Text:For the beam shown find reactions and draw shear and moment diagrams. A is a pin and B & roller. are a 10ok B 12. 18
Beam Deflections and Slopes
1.5
Loading
V+
Equation +
PL
3EI
PL
2EI
Va-
at x-L
at xL
L.
Mol
V max
Mol
2EI
El
Mo
2EI
at x-L
at x L
L.
Beam Deflections and Slopes (continued)
Omax
mas
SEI
6EI
24E (2* - 41x + 6L?r?)
at xL
at xL
PL
PL
P
man- t
16EI
(4x - 3L?z),
48EI
Vas
48EI
at x= L/2
at x= 0 or x L
0SIS L/2
Pab(L + b)
Pbx
V - -
6LEI
(L - b - r)
6LEI
-X--
Pab(L + a)
6LEI
SwL
Veat
384EI
wL
( - 2L + L')
Oman-
24EI
24EI
at x=
2.
V = -
384E (16r' - 241x² + 91?)
3wl
128EI
0SISL/2
wL
7wL
E (8r - 24Lr² + 17L?x – L)
384EI
384EI
L/2 5ISL
M.
Mol
6EI
Mon
Mol?
V =
(L² - x)
V ras =
6EIL
9V3EI
Mol
OR =
3EI
Transcribed Image Text:Beam Deflections and Slopes 1.5 Loading V+ Equation + PL 3EI PL 2EI Va- at x-L at xL L. Mol V max Mol 2EI El Mo 2EI at x-L at x L L. Beam Deflections and Slopes (continued) Omax mas SEI 6EI 24E (2* - 41x + 6L?r?) at xL at xL PL PL P man- t 16EI (4x - 3L?z), 48EI Vas 48EI at x= L/2 at x= 0 or x L 0SIS L/2 Pab(L + b) Pbx V - - 6LEI (L - b - r) 6LEI -X-- Pab(L + a) 6LEI SwL Veat 384EI wL ( - 2L + L') Oman- 24EI 24EI at x= 2. V = - 384E (16r' - 241x² + 91?) 3wl 128EI 0SISL/2 wL 7wL E (8r - 24Lr² + 17L?x – L) 384EI 384EI L/2 5ISL M. Mol 6EI Mon Mol? V = (L² - x) V ras = 6EIL 9V3EI Mol OR = 3EI
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