(a) Explanation Given information: EI is constant. The settlement of support B is 0.48 in. Calculation: Show the free body diagram of the beam as shown in Figure 1. Refer Figure 1. Apply Equation of Equilibrium, ∑ F x = 0 R A x = 0 Show the settlement of the support B as shown in Figure 2. Refer Figure 2. Find the deflection at A using the relation: Δ A O ( 24 + 16 ) = Δ B Y 16 Δ A O = Δ B Y ( 24 + 16 16 ) Δ A O = − 0.48 ( 24 + 16 16 ) = − 1.2 = 1.2 in . ( ↓ ) Sketch the released structure with unit load applied at A as shown in Figure 3. Refer Figure 3. The length of beam portion AB as a = 24 ft and the length of beam portion BC as L = 16 ft Find the deflection at A due to the point load using the relation: δ A A = P a 2 3 E I ( L + a ) = ( 1 ) ( 24 ) 2 3 ( 29 , 000 ) ( 300 ) ( 24 + 16 ) = 1.525 in . ( ↑ ) Show the compatibility Equation as follows: Δ A O + δ A A X A = 0 1 (b) To determine Calculate the reactions if support B settles 3 2 in .

5th Edition

ISBN: 9781264843923

Author: Leet

Publisher: MCG

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Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are co…

Question

Chapter 9, Problem 17P

(a)

To determine

Calculate the reactions if support B is constructed 0.004 in. too low.

(b)

To determine

Calculate the reactions if support B settles 32 in.

Expert Solution & Answer

Chapter 9 Solutions

UCD FUND OF STRUCTURAL ANALYSIS 5E

Ch. 9 - Prob. 1P Ch. 9 - Prob. 2P Ch. 9 - Prob. 3P Ch. 9 - Prob. 4P Ch. 9 - Prob. 5P Ch. 9 - Prob. 6P Ch. 9 - Prob. 8P Ch. 9 - Prob. 11P Ch. 9 - Prob. 12P Ch. 9 - Prob. 13P

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