A 5 m long cantilever concrete beam is supporting a uniformly distributed load of w = 4 kN/m and a 4 kNm counter-clockwise moment at point B as shown Figure 4. Assuming that E = 200 GPa and I = 50x10°mm“: M kNm w kN/m L/2 m L/2 m Figure 4 a) Determine the slopes at points C rad Please insert - sign if the slop indicates the counterclockwise. Submit part Unanswered b) Determine the maximum deflection at C yc = mm Please insert - sign if the deflection indicates the downward.
A 5 m long cantilever concrete beam is supporting a uniformly distributed load of w = 4 kN/m and a 4 kNm counter-clockwise moment at point B as shown Figure 4. Assuming that E = 200 GPa and I = 50x10°mm“: M kNm w kN/m L/2 m L/2 m Figure 4 a) Determine the slopes at points C rad Please insert - sign if the slop indicates the counterclockwise. Submit part Unanswered b) Determine the maximum deflection at C yc = mm Please insert - sign if the deflection indicates the downward.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Appendix D Beam Deflections and Slopes
Maximum
Beam and Loading
Elastic Curve
Deflection
Slope at End
Equation of Elastic Curve
L-
PL
PL2
P
y =
6EI
(a² – 3Lx*)
max
3EI
2EI
w
:(x* – 4LX³ + 6L°x²)
24EI
y =
8EI
6EI
3.
L-
ML?
ML
M
2EI
EI
2EI
4
For x =L:
PL
PL?
y =
:(4xª – 3L°X)
48EI
48EI
16EI
For a > b:
For x< a:
Pb(L – b*)/2
Pb(L – b)
Ph
y =
6EIL
- [x³ – (L² – b³Jx]
9V3EIL
6EIL
B
B
A
L - b
V
Pa(L² – a')
Pab
at xm
On = +
%3D
For x = a: y =
3
6EIL
3EIL
6.
5wL'
wL
- (x* – 2Lx³ + L°x)
24EI
y
384EI
24EI
M
ML?
ML
O, = +
6EI
M
(x³ – L²x)
IB x
9V3EI
6EIL
B'
Ymas
ML
3EI
+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53ce1657-b18a-4e5a-99aa-3e87bdade9e3%2Fbf28230f-2a46-4ae3-b468-b396da68e1fb%2F0erwtd8_processed.png&w=3840&q=75)
Transcribed Image Text:Appendix D Beam Deflections and Slopes
Maximum
Beam and Loading
Elastic Curve
Deflection
Slope at End
Equation of Elastic Curve
L-
PL
PL2
P
y =
6EI
(a² – 3Lx*)
max
3EI
2EI
w
:(x* – 4LX³ + 6L°x²)
24EI
y =
8EI
6EI
3.
L-
ML?
ML
M
2EI
EI
2EI
4
For x =L:
PL
PL?
y =
:(4xª – 3L°X)
48EI
48EI
16EI
For a > b:
For x< a:
Pb(L – b*)/2
Pb(L – b)
Ph
y =
6EIL
- [x³ – (L² – b³Jx]
9V3EIL
6EIL
B
B
A
L - b
V
Pa(L² – a')
Pab
at xm
On = +
%3D
For x = a: y =
3
6EIL
3EIL
6.
5wL'
wL
- (x* – 2Lx³ + L°x)
24EI
y
384EI
24EI
M
ML?
ML
O, = +
6EI
M
(x³ – L²x)
IB x
9V3EI
6EIL
B'
Ymas
ML
3EI
+1
Transcribed Image Text:A 5 m long cantilever concrete beam is supporting a uniformly distributed load of w= 4 kN/m and a 4 kNm counter-clockwise moment at point B as
shown Figure 4.
Assuming that E = 200 GPa and I= 50x10°mm":
M kNm
w kN/m
B
L/2 m
- L/2 m
Figure 4
a)
Determine the slopes at points C
O C=
rad
Please insert - sign if the slop indicates the counterclockwise.
Submit part
Unanswered
b)
Determine the maximum deflection at C
yc =
mm
Please insert - sign if the deflection indicates the downward.
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