(1) The three-bar truss ABC shown in the figure is constructed of steel pipes having cross-sectional area A = 3900 mm² and modulus of elasticity E = 200 GPa. The inclined bars areL = 2 m long and the horizontal span AB is 2L = 2/2placed at C, as shown.1. Determine the three bar forces in terms of P.2. Obtain the total strain-energy expressions Um. A vertical load P = 500 kN isUBCand U for AB, BC, and CA,ABCArespectively, in terms of P, A, L, and E.3. Obtain a formula for the total strain energy U stored in the three-bar truss in terms of P,A, L and E.4. If 8 is the vertical displacement of C , obtain 8 in terms of P, A, L and E via the use ofW(work) = U(total strain energy).5. What is the horizontal displacement &, of B in terms of P, A, L and E? Obtain 8, in mm.A

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(1) The three-bar truss ABC shown in the figure is constructed of steel pipes having cross- sectional area A = 3900 mm² and modulus of elasticity E = 200 GPa. The inclined bars are L = 2 m long and the horizontal span AB is v2L = 2/2 m. A vertical load P = 500 kN is placed at C, as shown. 1. Determine the three bar forces in terms of P. 2. Obtain the total strain-energy expressions U U and U for AB, BC, and CA, respectively, in terms of P, A, L, and E. 3. Obtain a formula for the total strain energy U stored in the three-bar truss in terms of P, A, L and E. 4. If 8 is the vertical displacement of C , obtain 8 in terms of P, A, L and E via the use of W(work) = U(total strain energy). 5. What is the horizontal displacement &, of B in terms of P, A, L and E? Obtain 8, in mm.

(1) The three-bar truss ABC shown in the figure is constructed of steel pipes having cross- sectional area A = 3900 mm² and modulus of elasticity E = 200 GPa. The inclined bars are L = 2 m long and the horizontal span AB is v2L = 2/2 m. A vertical load P = 500 kN is placed at C, as shown. 1. Determine the three bar forces in terms of P. 2. Obtain the total strain-energy expressions U U and U for AB, BC, and CA, respectively, in terms of P, A, L, and E. 3. Obtain a formula for the total strain energy U stored in the three-bar truss in terms of P, A, L and E. 4. If 8 is the vertical displacement of C , obtain 8 in terms of P, A, L and E via the use of W(work) = U(total strain energy). 5. What is the horizontal displacement &, of B in terms of P, A, L and E? Obtain 8, in mm.

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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