Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:For the beam and loading shown, use discontinuity functions to compute (a) the deflection
of the beam at A and (b) the deflection of the beam at C. Assume a constant value of
EI = 23000 kN m² for the beam. Also, assume P = 22 kN, WB = 25 kN/m, wc = 63
3.0 m, b = 3.9 m, and c = 1.4 m.
kN/m, a
P
=
a
WB
B
b
WC
1
X
Transcribed Image Text:Write the beam deflection function EI v(x) for this case in terms of discontinuity
functions. Then, integrate it four times to obtain an expression for the beam
deflection, u, in terms of integration constants C₁ and C₂. In the seven input fields
below, enter the numerical values, with correct signs, required to make these
functions correct for this case.
EI u(x) =
i
kN (x − 0 m)³ +
kN (x 3.0 m)³ +
kN/m (x − 3.0 m)4 +
kN/m² (x 3.0 m)³ +
kN/m (x − 6.9 m)ª +
kN/m² (x − 6.9 m)³ +
kN (x 8.3 m)³ + C₁x + C₂
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- For the cantilever steel beam [E = 300 GPa; 1= 129x¹106 mm4] shown in Figure, use the double- integration method to determine the deflection at A. Assume L = 2.5 m, P = 50 kN-m, and wo = 90 kN/m. Barrow_forwardAnalyze the cantilever beam loaded as shown below: 10 kN A 6 m 2 kN/m 0 B 4 m a) Determine the deflection at the free end. b) Determine the slope at point B of the beam. Carrow_forwardUsing Castigliano’s theorem. For the simply supported beam shown in the figure, determine the slope and deflection at point B.arrow_forward
- For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection vmidspan of the beam at midspan (i.e., x = 2.4 m). Assume a constant value of EI = 1660 kN-m2 for the beam; MA = 9.3 kN-m, Wo = 19.5 kN/m, LAB = 1.1 m, LBC = 2.6 m. wo MA |A B LAB LBC Answer: (a) VA = mm. mm. (b) Vmid =arrow_forwardPlease explain how to find the value of x when precipitation has a maximum value Use the integration methodarrow_forward
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