s 2a A point load of 2.236kN is applied at point 3 of a frictionless pin-jointed structure which consists of members as shown in Fig Q2.Displacements at point 1 are fixed in x and y directions whereas onlydisplacement in y direction is fixed at point 2.Member 1 has end points 1 and 2, member 2 has end points 2 and 3and member 3 has end points 1 and 3. The cross sectional areas ofmember 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm²respectively. Length of both member 1 and 2 is 10 m. Young'smodulus (E) for all members is 200,000 N/mm².(a)N2.236 KN117Fig Q2: Pin-jointed structureWrite down element stiffness matrix for each member andassemble the global stiffness matrix for the whole structure.

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Answered: A point load of 2.236kN is applied at…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.5P: The figure shows an idealized structure consisting of two rigid bars with pinned connections and...

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Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
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A horizontal rigid bar ABC is pinned at end A and supported by two cables at points B and C. A vertical load P = 10 kN acts at end C of the bar. The two cables are made of steel with a modulus elasticity E = 200 GPa and have the same cross-sectional area. Calculate the minimum cross-sectional area of each cable if the yield stress of the cable is 400 MPa and the factor of safely is 2.0. Consider load P only; ignore the weight of bar ABC and the cables.
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