3) For the beam and loading shown in ﬁgure, E = 30 × 106 psi, I¯ = 200 in4. Determine (a) the reaction force at A and(b) the deﬂection at C. 3) For the beam and loading shown in figure, E = 30 x 106 psi, I = 200 in. Determine(a) the reaction force at A and(b) the deflection at C.8 kip3 ft2 kip/ft|ACВ-8 ft- APPENDIXF Beam Deflections and SlopesMaximumBeam and LoadingElastic CurveDeflectionSlope at EndEquation of Elastic Curve1L.PLPLy =6EIr- 3Lr)3EI2EIYmaxwL8EI6EI24EIYmaxML?2EI4For x b:For x < a:Pb(L - b)/29 V3EILPb(L? – b)Pb[x - (L - b?)x]6EILy =6EILB- 6?Pa(L - a)Og = +Pab?at xmFor x= a:y =36EIL3EIL5wL*wL(x* - 2Lx + L'x)24EIy = .384EI24EIML?9V3EIMLO = +6EIM(x³ – L'x)6EILy = -MLOg = -3EI

(a) Draw the free-body diagram of the beam. Calculate the moment at point A.…

Answered: For the beam and loading shown in…

For the beam and loading shown in ﬁgure, E = 30 × 106 psi, I¯ = 200 in4. Determine (a) the reaction force at A and (b) the deﬂection at C.

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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Question

3) For the beam and loading shown in ﬁgure, E = 30 × 106 psi, I¯ = 200 in4. Determine (a) the reaction force at A and
(b) the deﬂection at C.

3) For the beam and loading shown in figure, E = 30 x 106 psi, I = 200 in. Determine
(a) the reaction force at A and
(b) the deflection at C.
8 kip
3 ft
2 kip/ft
|A
C
В
-8 ft-

APPENDIX
F Beam Deflections and Slopes
Maximum
Beam and Loading
Elastic Curve
Deflection
Slope at End
Equation of Elastic Curve
1
L.
PL
PL
y =
6EI
r- 3Lr)
3EI
2EI
Ymax
wL
8EI
6EI
24EI
Ymax
ML?
2EI
4
For x<L:
tseco.ck
P
(4x – 3Lx)
48EI
Ymax
y%3D
For a > b:
For x < a:
Pb(L - b)/2
9 V3EIL
Pb(L? – b)
Pb
[x - (L - b?)x]
6EIL
y =
6EIL
B
- 6?
Pa(L - a)
Og = +
Pab?
at xm
For x= a:
y =
3
6EIL
3EIL
5wL*
wL
(x* - 2Lx + L'x)
24EI
y = .
384EI
24EI
ML?
9V3EI
ML
O = +
6EI
M
(x³ – L'x)
6EIL
y = -
ML
Og = -
3EI

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