steel bar is held by two fixed supports as shown ne figure and is subjected to an increase -mperature AT = 100°C. If the coefficient of therm xpansion and Young's modulus of elasticity of sto e 11x10-6°C and 200 GPa, respectively, agnitude of thermal stress (in MPa) induced in t
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- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?An elastomeric bearing pad consisting of two steel plates bonded to a chloroprene elastomer (an artificial rubber) is subjected to a shear force V during a static loading test (see figure). The pad has dimensions a = 125 mm and b = 240 mm, and the elastomer has a thickness t = 50 mm. When the Force V equals 12 kN, the top plate is found to have displaced laterally S.O mm with respect to the bottom plate. What is the shear modulus of elasticity G of the chloroprene?A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
- A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30 kN and A = 60 kN (see figure) The bar is constructed of magnesium alloy having a stress-strain curve described by the Ram berg-Osgood equation: 45.000 618 UW id which u has units of mega pascals (MPa). (a) Calculate the displacement 8t- of the end of the bar when the load P:acts alone. (b) Calculate the displacement when the load P, acts alone. (c) Calculate the displacement when both loads act simultaneously.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.Q-A steel rod is heated from 30° to 80°C and free expansion of rod is allowed while heating. If coefficient of exposition is 1.2 x 10-5 per °C and E = 110 GN/m², then thermal stress developed in material is.
- A square bar of wrought iron, 2 inches on each side, is raised to a temperature of 100 deg F above its normal. If held so that it cannot expand, K = 6.8 x 10-6 per deg F. What is the force necessary to prevent expansion? The modulus of elasticity E may be taken as 30 million psi. ( Answer : 81,600 lb)8 A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200°C, the axial stress developed in the rod is, MPa. Young's modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10-5 per°C. 250 mm 0.2 mmStrength of materials the stress-strain diagram for a particular stainless steel alloy is shown in figure. a rod made from this material is initially 800 mm long at a temperature of 20 degrees celsius. after a tension force is applied to the rod and the temperature is increased by 200 degrees celsius the length of the rod is 804 mm. determine the stress in the rod and state whether the elongation in the rod is elastic or inelastic. assume the coefficient of thermal expansion for this material is 18 x 10 ^ -6/⁰C Given figure... 2 is question number not the grade
- 1.6-7 A wire of length L = 2.5 m and diameter d = 1.6 mm is stretched by tensile forces P = 600 N. The wire is made of a copper alloy having a stress- strain relationship that may be described mathemat- ically by 124,020ɛ 0 s8s 0.03 (o = MPa) 1+ 300ɛ in which e is nondimensional and o has units of MPa. (a) Construct a stress-strain diagram for the material. (b) Determine the elongation of the wire due to the forces P. (c) If the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?PLEASE ANSWER ASAP TY! The two bars (1) and (2) are made of the aluminum with E = 70 GPa, has the same cross section of 100 mm x 20 mm, and supported by rigid supports at A and C. The coefficient of thermal expansion of the material is 23 x 10–6/oC. At T = 25oC, the two bars have a gap of 5 mm as shown. a) What is the reaction force (in KN) at fixed support A when the temperature is 100oC? b) What is the reaction force (in KN) at fixed support C when the temperature is 100oC? c) What is the stress (in MPa) in bar (1) when the temperature is 100oC? d) What is the stress (in MPa) in bar (2) when the temperature is 100oC?Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F. Select one: O F = 5236 N O F = 6283 N %3D O F= 13090N O F = 10472 N O F= 15708N OF=4189 N 9:22 PM EN ? 4/15/2021