Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Please answer in complete solution and draw an fbd.
Note: Please use the second picture as guide for the formulas. Thanks°

Determine the reactions of the given beam using moment distribution method. w = 25 kN/m, P₁ = 25 kN, and P₂ = 25 KN
P2
W
ping 1.1
2m
8 m
I
21
Numerical answer in 4 decimal places and positive values only:
RA =
RB =
MB =
Rc =
kN (Downward)
kN (Upward)
kN-m
kN (Upward)
B 2m
2m
с
Transcribed Image Text:Determine the reactions of the given beam using moment distribution method. w = 25 kN/m, P₁ = 25 kN, and P₂ = 25 KN P2 W ping 1.1 2m 8 m I 21 Numerical answer in 4 decimal places and positive values only: RA = RB = MB = Rc = kN (Downward) kN (Upward) kN-m kN (Upward) B 2m 2m с
wa 43a 2. sal+6L3
2
12L²
14
PL
8
Pab²
L²
Mb(b-2a)
L²
wy
L
M
L
L
P
L
L
L
L
b
Fixed End Moment Formulas
12
W
W[2
8
wa (a 41². 4aL)
8L2
wa³(4L-3a)
121²
Pa²b
Ma(2b-a)
L
12:
10 3
3 PL
16
Pab(L+b)
22²
3a 1.5a
HO
120
2
-a-
L
MK
L
L
L
L
L
b
18
W2
HA
W
MAB
deflection -0₂-²
curve -L-
P
hum
cord
El is constant
positive sign convention
Fig. 11-2, Structural Analysis,R.C.Hibbeler 8th ed
MAB = 2E20A +0B - 3+ FEM AB
MBA= -2E20B +0A-33
A
(FEM) AB
-3+ FEM BA
Sign convention: All clockwise internal moments and end rotation are positive.
MBA
For end span with far end pinned or roller support
P
mini
2EI
L
W
Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed
3EI
MN=[N+ FEMN
General Form
B
MNEF= [20N+0F-34 + FEMNF
Transcribed Image Text:wa 43a 2. sal+6L3 2 12L² 14 PL 8 Pab² L² Mb(b-2a) L² wy L M L L P L L L L b Fixed End Moment Formulas 12 W W[2 8 wa (a 41². 4aL) 8L2 wa³(4L-3a) 121² Pa²b Ma(2b-a) L 12: 10 3 3 PL 16 Pab(L+b) 22² 3a 1.5a HO 120 2 -a- L MK L L L L L b 18 W2 HA W MAB deflection -0₂-² curve -L- P hum cord El is constant positive sign convention Fig. 11-2, Structural Analysis,R.C.Hibbeler 8th ed MAB = 2E20A +0B - 3+ FEM AB MBA= -2E20B +0A-33 A (FEM) AB -3+ FEM BA Sign convention: All clockwise internal moments and end rotation are positive. MBA For end span with far end pinned or roller support P mini 2EI L W Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed 3EI MN=[N+ FEMN General Form B MNEF= [20N+0F-34 + FEMNF
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