PROBLEMS4.1. Consider the truss element shown in Fig. P4.1. The x-, y-coordinates of the two nodes areindicated in the figure. If q = [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following:(a) the vector q',(b) the stress in the element,(c) the k matrix, and(d) the strain energy in the element.E = 30 x 10° psiA = 2.1 in.?2 (50.0, 40.0)Y1 (10.0, 10.0)FIGURE P4.14.2. A truss element, with local node numbers 1 and 2, is shown in Fig. P4.2.(a) What are the direction cosines e and m.(b) Show the x'-axis, q1,42,93,94,9i, q2 on the figure.(c) If q = [0.,0.01, -0.025, -0.05]", determine q', q2.(2, 14)(5,8)FIGURE P4.24.3. For the pin-jointed configuration shown in Fig. P4.3, determine the stiffness valuesKI, K12, and K22 of the global stiffness matrix.1000 mm?Qu-1500 mm1250 mm2E = 200 GPa-750 mm-FIGURE P4.3

Structural analysis is the strategy for deciding and ascertaining the impacts of burdens and inward…

4.1. Consider the truss element shown in Fig. P4.1. The x-,y-coordinates of the two nodes are indicated in the figure. If q [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following: (a) the vector q', (b) the stress in the element, (c) the k matrix, and (d) the strain energy in the element. E = 30 x 10° psi A = 2.1 in.? 2 (50.0, 40.0) L. Y 1 (10.0, 10.0) FIGURE P4.1

4.1. Consider the truss element shown in Fig. P4.1. The x-,y-coordinates of the two nodes are indicated in the figure. If q [1.5, 1.0, 2.1,4.3]T x 10-2 in., determine the following: (a) the vector q', (b) the stress in the element, (c) the k matrix, and (d) the strain energy in the element. E = 30 x 10° psi A = 2.1 in.? 2 (50.0, 40.0) L. Y 1 (10.0, 10.0) FIGURE P4.1

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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