Please answer the ff in complete solution and draw an fbd use slope deflection method only. Determine the reactions of the given beamusing slope deflection method. P₁ = 25 kN,P₂ = 35 kN, and w = 25 kN/mRARD=RE||MD=||2m=P₁Numerical answer in 4 decimal places andpositive values only:BP22m с214mW8mIkN-mkN (Upward)kN (Upward)kN (Upward) wa 23a 2. SaL+6L3212L²PL8Pab²L²14Mb(b-2a)LwywyLMLLPLLLLbFixed End Moment Formulas12 2²212WHZ28wa (a2+ 41²2.4al)SLwa (4L-3a)121²2PLPa²bMa(2b-a)L12:10 33 PL16Pab(L+b)21²3a 1.5a600120#22LMKLLL16W2HAW2EIMABdeflection -0²curve -L-PhumcordMBAEl is constantpositive sign conventionFig. 11-2, Structural Analysis, R.C.Hibbeler 8th edMAB = 2E20A +0B - 3+ FEM ABMBA= [20B+0A-3+ FEMBASign convention: All clockwise internal moments and end rotation are positive.For end span with far end pinned or roller supportPWBA(FEM) ABFig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed3EIMN=[N+FEMNGeneral FormMNF = [20N+0F-34+ FEMNF2EIL

Answered: Image /qna-images/answer/381054dc-b15c-44aa-9a5e-e199518dae8e.jpg

Determine the reactions of the given beam using slope deflection method. P₁ = 25 kN, P2 = 35 kN, and w = 25 kN/m RA RD || RE = MD= 2m || P₁ B 2m P2 Numerical answer in 4 decimal places and positive values only: C 21 4m W 8m I kN-m kN (Upward) kN (Upward) kN (Upward)

Determine the reactions of the given beam using slope deflection method. P₁ = 25 kN, P2 = 35 kN, and w = 25 kN/m RA RD || RE = MD= 2m || P₁ B 2m P2 Numerical answer in 4 decimal places and positive values only: C 21 4m W 8m I kN-m kN (Upward) kN (Upward) kN (Upward)

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Please answer the ff in complete solution and draw an fbd use slope deflection method only.

Determine the reactions of the given beam
using slope deflection method. P₁ = 25 kN,
P₂ = 35 kN, and w = 25 kN/m
RA
RD
=
RE
||
MD=
||
2m
=
P₁
Numerical answer in 4 decimal places and
positive values only:
B
P2
2m с
21
4m
W
8m
I
kN-m
kN (Upward)
kN (Upward)
kN (Upward)

wa 23a 2. SaL+6L3
2
12L²
PL
8
Pab²
L²
14
Mb(b-2a)
L
wy
wy
L
M
L
L
P
L
L
L
L
b
Fixed End Moment Formulas
12 2²2
12
W
HZ2
8
wa (a2+ 41²2.4al)
SL
wa (4L-3a)
121²2
PL
Pa²b
Ma(2b-a)
L
12:
10 3
3 PL
16
Pab(L+b)
21²
3a 1.5a
600
120
#2
2
L
MK
L
L
L
16
W2
HA
W
2EI
MAB
deflection -0²
curve -L-
P
hum
cord
MBA
El is constant
positive sign convention
Fig. 11-2, Structural Analysis, R.C.Hibbeler 8th ed
MAB = 2E20A +0B - 3+ FEM AB
MBA= [20B+0A-3+ FEMBA
Sign convention: All clockwise internal moments and end rotation are positive.
For end span with far end pinned or roller support
P
W
B
A
(FEM) AB
Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed
3EI
MN=[N+FEMN
General Form
MNF = [20N+0F-34+ FEMNF
2EI
L

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Step 1: Given data

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Step 2: Finding the fixed end moments of the given beam:-

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Step 3: Writing the slope deflection equations of the given beam

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Step 4: By using compatibility conditions to finding the slopes of the given beam:-

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Step 5: Finding the final end moments of the given beam:-

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Step 6: Finding the support reactions of the given beam:-

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