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)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69d8400c-eee6-4c5a-b9f0-27985a5969f1%2F381054dc-b15c-44aa-9a5e-e199518dae8e%2Fqsvjsrp_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69d8400c-eee6-4c5a-b9f0-27985a5969f1%2F381054dc-b15c-44aa-9a5e-e199518dae8e%2Ffzzx1pv_processed.jpeg&w=3840&q=75)
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
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Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Given data
VIEWStep 2: Finding the fixed end moments of the given beam:-
VIEWStep 3: Writing the slope deflection equations of the given beam
VIEWStep 4: By using compatibility conditions to finding the slopes of the given beam:-
VIEWStep 5: Finding the final end moments of the given beam:-
VIEWStep 6: Finding the support reactions of the given beam:-
VIEWSolution
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