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d) using L-3 m, P-25 kN and EI-1 x 107 N.m², determine the maximum deflection, Vines and the maximum slope, 0 of the beam

d) using L-3 m, P-25 kN and EI-1 x 107 N.m², determine the maximum deflection, Vines and the maximum slope, 0 of the beam

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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3. do not solve a, b and c with the givens from d. 

3. For the statically indeterminate cantilever beam (El is constant) shown in Figure 3 and using given coordinates x, and x₂ as shown: a) draw the appropriate segment FBDs and determine the bending moment equations, Mi(xi) and Mi(x2), of segments AC and BC, respectively, dv₁ (₁) b) applying Methods of Integration, determine the equations of the slopes (- dx₁ (v₁ (x₁). V₂ (x₂)) of the two segments of the beam in terms of P, L, C,, El and the integration constants, c) determine: i. all integration constants (possibly in terms of the redundant support force Cy, applied load P, and length L), ii. redundant support force C, in terms of P, iii. fixed support forces, A. and A, (in terms of P) and moment, M. (in terms of P and 2) A d) using L-3 m, P-25 kN and EI=1 x 107 N.m², determine the maximum deflection, Vax and the maximum slope, Omax of the beam El is constant F L du₂(x2)) and elastic curves dx₂ Figure 3 B
Transcribed Image Text:3. For the statically indeterminate cantilever beam (El is constant) shown in Figure 3 and using given coordinates x, and x₂ as shown: a) draw the appropriate segment FBDs and determine the bending moment equations, Mi(xi) and Mi(x2), of segments AC and BC, respectively, dv₁ (₁) b) applying Methods of Integration, determine the equations of the slopes (- dx₁ (v₁ (x₁). V₂ (x₂)) of the two segments of the beam in terms of P, L, C,, El and the integration constants, c) determine: i. all integration constants (possibly in terms of the redundant support force Cy, applied load P, and length L), ii. redundant support force C, in terms of P, iii. fixed support forces, A. and A, (in terms of P) and moment, M. (in terms of P and 2) A d) using L-3 m, P-25 kN and EI=1 x 107 N.m², determine the maximum deflection, Vax and the maximum slope, Omax of the beam El is constant F L du₂(x2)) and elastic curves dx₂ Figure 3 B
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