Answered: The cantilever beam consists of a…

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

The cantilever beam consists of a rectangular structural steel tube shape [E = 200 GPa; I = 425 × 106 mm4]. Assume P = 35 kN, w = 10 kN/m, LAB = 1.50 m, and LBC = 2.00 m. Using Appendix C and method of superposition, determine:
(a) the beam deflection at point A. [vA = -4.54 mm]
(b) the beam deflection at point B. [vB = -2.07 mm]

Beam
Slope
Deflection
Elastic Curve
PL
Px?
-(3L – x)
6EI
PL?
0max =
Vmax =
y =
Vmax.
2EI
ЗЕ
Omax
Px2
-(3L – 2x)
12EI
for 0 <x S
y = -
PL?
5PL?
0max =
Vmax =
8 ΕΙ
48EI
PL?
- (6х — L)
48EI
Vmax
V = -
for
emax
Mx?
V = -
2EI
ML
ML?
0max =
Vmax =
Vmax.
EI
2EI
Omax
wL
wx?
(6L? – 4Lx + x²)
24EI
wL
10
0max =
Vmax =
V =
6EI
8EI
,'max
max
Wo
Wox?
-(10L – 10L?x + 5Lx² – x³)
11
0max =
Vmax =
24EI
30EI
120LEI
Vmax
Pmax

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