A bar of 80 mm diameter and 800 mm Length is subjected to an axial load of 200 kN. It elongates by 0.30 mm and the diameter decreases by 0.01 mm. What is the Poisson's ratio of the material of the bar?
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- 2. Consider a square bar 30 mm on side and 2.5 m long, having a material yield point 254 (in MPa). An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 25 mm. Determine the permanent elongation of the bar. o = 3 oy, of = %3D 0.60y . 0.008 0.010 0.005Consider a square bar 30 mm on side and 2.5 m long, having a material yield point 254 (in MPa). An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 25 mm. Determine the permanent elongation of the bar. O = 3 0y, o = 0.60y 0 005 0.008 0.0102:37 6.00 KB/S A 2M 3M B Problem 2: A rigid block of negligible mass is supported by three symmetrically spaced rods as shown. Each copper rod has an area of 900mm2 and E=120GPA, and the allowable stress is 70MPa. The steel rod has an area of 1200mm2, E=200GPA and the allowable stress is 140MPA. Determine the largest load P which can be supported. Your answer Figure for Problem 2 STEEL 24OMM COPPER COPPER 16OMM 16OMM --
- The beam shown is hinged at one end. It is supported by two steel rods of equal length of 1.5m. Before the load is applied, the beam hangs level. Use E 200, 000MPa and a = 11.7- m C" Neglect bending of the beam. A=640mm2 A=320mm2 A C D 1.2m 0.8 m 1.2 m 54KN What is the stress of rod B if there is no change in temperature in MPa?4. Two solid shafts of different materials are rigidly fastened together and attached to rigid supports as shown in the figure together with the given section properties. The torque of 1000 N-m is applied at the junction of the two segments. Compute the maximum shearing stress developed in the assembly. Answer: TĄ = 5.57 MPa Ts = 22.0 MPa 3 m 1.5 m Ta Aluminum Steel 75 mm dia. T=1.0 kN•m Ga- 28 GN/m²? 50 mm dia G, - 83 GN/m?2. Consider a square bar 30 mm on side and 2.5 m long, having a material yield point 254 (in MPa). An applied axial load gradually builds up from zero to a value such that the elongation of the bar is 25 mm. Determine the permanent elongation of the bar. ou = 3 oy. o, = %3! 0.60y- 0.008
- 50mm a biaxial load that results in B C Given: A “happy-little-cube" of material is subject O = 150 MPa and o, = 70 MPa. E = 90 GPa and v= 0.4 Determine ɛ and ɛy A D 50mmA vertical steel rod is fixed at top and supports an 8-kN load at the lower end. The rod is 10mm in diameter. And 25 mm long.Its unit weight of steel is 77kN/m^3. What is the total elongation of the rod?A uniform load of 8 kN/m acts on segment BC of the rigid beam shown. The beam is supported by a steelrod BD having a cross sectional area of 200 mm2. Determine the vertical displacement of the beam at Cafter the distributed load is applied. For steel, E = 200 GPa. Neglect the weight of the beam. Express youranswer in mm.
- 1. *A propped cantilever has a 2m overhang. The beam has a load of 2W applied half way between the fixed support and the roller support and a load of W applied at the free end. What is the minimum value of W that will cause the beam to collapse? The beam has the cross-section shown below. The yield stress is 300 MPa. 75 mm 15 mm 300 mm 2W C D 15 mm 250 mm 15 mm, 2m B + 2m 2mA distributed load of w N/m is applied over an entire length of a simply supported beam 8m long. The beam section is made up of four 20mmx100mm rectangles arranged as shown. A. Determine the maximum value of w without exceeding the permissible flexure stress of 10MPa. B. Determine the maximum value of w without exceeding the permissible shear stress of 1.2MPa. C. Determine the maximum value of w without exceeding the permissible screw strength of 800N for a pitch of 75mm.The beam shown is hinged at one end. It is supported by two steel rods of equal length of 1.5m. Before the load is applied, the beam hangs level. Use E = 200, 000MPa and = 11.7 um Neglect bending of the beam. m°C A=640mm2 A=320mm2 A 1.2 m 0.8 m 1.2m 54KN What is the stress of rod C if there is no change in temperature in MPa?