Answered: Determine the smallest allowable…

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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The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₁ = 700 mm². Bar (2) is a bronze alloy [E = 106 GPa] with a cross-sectional area of A₂ = 480 mm². Assume L₁=1.8 m, L₂=2.1 m, a=0.5 m, b=1.6 m, and c=0.8 m. All bars are unstressed before the load P is applied; however, there is a 3.4-mm clearance in the pin connection at A. If a load of P = 53 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains 1, 2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid bar. (1) A Answers: (a) σ₁ = (b) 1 (c) VA = i a L₁ B b (2) L2 MPa, 0₁ = με, €2 = mm. i i D MPa. με.
: Consider the truss shown in the figure below, and answer the following questions. Figure is not to scale. P P R K 5 m B C D E F - 2 m --2 m - 2 m - 2 m- 2 m-- 2 m - a) If P and R are non-zero forces and Q = 0 kN, indicate all the zero-force members in the truss. O LB O LC O KC O KD O JD O ID O IE О НЕ О НЕ O None b) Following from the situation described in Part (a), how many additional zero-force members will there be in the truss in the following situation? If the force R acting at node H is removed.

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Determine the smallest allowable cross-sectional areas of members JK, DK, and DE of the truss shown. The working stresses are 120 MPa in tension and 80 MPa in compression. (A reduced stress in compression is specified to reduce the danger of buckling.)