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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 kN/m, a A P = 3.0 m, b = 3.9 m, and c WB B b = : 1.4 m. WC D

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 kN/m, a A P = 3.0 m, b = 3.9 m, and c WB B b = : 1.4 m. WC D

Structural Analysis
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
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: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
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
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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