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
icon
Related questions
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)
Transcribed Image Text: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
Transcribed Image Text: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
Expert Solution
steps

Step by step

Solved in 7 steps with 7 images

Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning