Please show the step-by-step solution. Please use pen and paper to solve. Thank youDetermine the degree of indeterminacy and stability of the following structures.Classify each as stable or unstable.1.3.6.田7.8.9.10.E-

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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 rigid bar is supported by a pin at A and two metal wires,each having a diameter of 4mm.The stress-strain diagram of the steel is given in the Figure below.The lower graph is the zoomed view of the elastic deformation and yielding phases of yielding phases of the stress-strain diagram given by the upper graph.a)Obtain the Young’s modulus of metal.What can you say about the kind of metal considering the Young modulus?If the poınt G is displaced 1.5 mm in vertical direction) b)Determine the forces at wires EB and DC c)the intensity of the distributed load w? d)the final diameters of wires.(Poisson’s ratio is v=0.3)
Volumetric starin.
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The bars shown below, with solid circular cross-sections, are made of a material with an elastic modulus E = 20,000 ksi and a coefficient of thermal expansion α=(15×10^(−6)) 1/°F Bars AB and BC are subjected to a temperature change in addition to the applied forces. If the reaction at C is 8 kips in compression, determine the temperature change ∆T
Question 2 In the below structure, the truss members stiffness matrix has been used for truss members and the beam stiffness matrix has been used for the rest. a) How many unknown displacements are in the displacement vector? b) How many displacements are in the displacement vector altogether? * J A
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The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If the system is initially stress-free, calculate the temperature change that will cause a tensile stress of 90 MPa in the brass rod. Assume that both rods are subjected to the same change in temperature. Brass L=2 m A= 1200 mm E= 100 GPa a = 18,7 x 10-y°C B -2 m Соpper L=3 m A = 1500 mm E= 120 GPa a = 16.8 x 10-bj°C FIG. P2.108
A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1190 µin./in. Assume initial rod lengths of L1 = 131 in. and L2 = 61 in. Determine (a) the normal strain in rods (1). (b) the normal strain in rods (1) if there is a 0.057 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied. (c) the normal strain in rods (1) if there is a 0.057 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied. (1) (1) (2) Rigid bar Answers: (a) ɛ1 = i pin./in. (b) Ɛ1 = i pin./in. (c) Ɛ1 = i pin./in.
2= The deformations of a body are presented as follows. Find the Cauchy strain tensor [Cij] and volumetric strain at the point of (2,1,1) and at the time of t* sec. x₁ = (2¹-1) X₁ +α X3 ) + X₁, a 2 X₂ = X3 (2¹-2-¹) + X2, 1 X3 = X3.
(ii) An element of material subjected to plane strain has strains as follows: € = 220 x 10-6, y = 480 x 10-6 and Yxy = 180 x 10-6 Calculate the strains for an element oriented at an angle 0=50°. with the help of mohr's circle. Also calculate the principal strains.

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Please show the step-by-step solution. Please use pen and paper to solve. Thank you Determine the degree of indeterminacy and stability of the following structures. Classify each as stable or unstable. 1. 3. 4.