Determine the reactions of the given beam using slope deflection method. w = 25 kN/m and P = 45 kN RA= Numerical answer in 4 decimal places and positive values only: kN (Upward) MA = RB MBC kN-m (ccw) kN (Upward) W kN-m (ccw) 6m B 2m P

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 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 slope deflection method. w = 25 kN/m and P = 45 kN
RA =
Numerical answer in 4 decimal places and positive values only:
MA =
R₂ =
MBC =
kN (Upward)
kN-m (ccw)
KN (Upward)
W
kN-m (ccw)
6m
B
2m
Transcribed Image Text:Determine the reactions of the given beam using slope deflection method. w = 25 kN/m and P = 45 kN RA = Numerical answer in 4 decimal places and positive values only: MA = R₂ = MBC = kN (Upward) kN-m (ccw) KN (Upward) W kN-m (ccw) 6m B 2m
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 (a²+ 41².4aL)
8L2
wa ³ (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
MBA
-3+ FEM BA
Sign convention: All clockwise internal moments and end rotation are positive.
2EI
L
For end span with far end pinned or roller support
P
mini
W
A
(FEM)AB
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 (a²+ 41².4aL) 8L2 wa ³ (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 MBA -3+ FEM BA Sign convention: All clockwise internal moments and end rotation are positive. 2EI L For end span with far end pinned or roller support P mini W A (FEM)AB Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed 3EI MN=[N+ FEMN General Form B MNEF= [20N+0F-34 + FEMNF
Expert Solution
steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Knowledge Booster
Interior finishes for wood light frame construction
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.
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