Compute the total elongation of the bar shown in Figure P3-37 if it is made from titanium 3-37. Ti-6Al-4V. found that 250 mm- -250 mm- -250 mm- Rigid support 80 kN Square bar 40 kN 110 kN 30 mm Bar carrying axial loads for Problem 3-37. FIGURE P3-37 41
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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.Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.For the bar assemblages shown in Figure P3-3, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for the problem. 16,000 Ib 2 E - 30 x 10 psi A = 2.0 in? 20 in. 50 in. Figure P3-3
- CH3 6P For the bar assemblages shown in Figure P3-6, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for the problem. Ez.A 20 = 30 x 10° psi E, E, - 10 x 10 psi A = 2 in? E. A 16,000 lb 50 in. E.A Rigid bar 20 30 in. Figure P3-6 >Calculate the internal force (positive if tensile, negative if compresive) in rod (2). Use a FBD cutting through the rod in the section that includes the free end A.Answer: F2 = Enter your answer in accordance to the question statement kipsA pushrod in the valve mechanism of an automotive engine has a nominal length of 203 mm. If the rod is made of SAE 4140 steel, compute the elongation due to a temperature change from -20°C to 140°C. TABLE 3-4 Coefficients of thermal expansion, a, for some t nd concrrete
- Calculate the internal force (positive if tensile, negative if compresive) in rod (2). Use a FBD cutting through the rod in the section that includes the free end A.Answer: F2 = ? kipsWhat is the maximum elongation of the spring in the following example problem, if the spring is made of phosphor bronze for which G = 42 GPa and is stressed to 140 MPa. Use Eq. (3-10).Chapter Problem CH3 4P For the bar assemblages shown in Figure P3-4, determine the nodal displacements, the forces in each element, and the reactions. Use the direct stiffness method for the problem. 2 5,000 1b 10,00ю iь з E = 30 x 10* psi A = 4.0 in? 30 in. - 30 in. – -30 in - Figure P3-4 > >
- PROBLEM 4. The rigid bar is supported by a pin at A and two metal wires, each having a diameter of 4 mm. 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 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 point G is displaced 1.5 mm in vertical direction, (b) determine the forces at wires EB and DC, (b) the intensity of the distributed load w, (c) the final diameters of wires. (Poisson's ratio is v=0.3) E D o (MPa) 600 500 800 mm 400 A В 300 G 200 100 400 mm- - 250 mm- e(mm/mm) '150 mm 0.04 0,08 0.12 0.16 0,20 0,24 0,28 O 0.0005 0.0010.0015 0.002 0.0025 0.003 0.0035Q-2 A portion of the stress–strain curve for a stainless steel alloy is shown in Figure Q-2. A 550 mm long bar is loaded in tension until it elongates 4.4 mm, and then the load is removed. (a) Determine the permanent set in the bar. (b) Determine the length of the unloaded bar. (c) If the bar is reloaded, determine the proportional limit. [Use the figure to make necessary drawings/markings to show your solution strategy!Determine the total elongation of the bar shown in figure below: -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.