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- A steel cylinder is enclosed in a bronze sleeve, both simultaneously supports a vertical compressive load of P = 280 kN which is applied to the assembly through a horizontal bearing plate. The lengths of the cylinder and sleeve are equal. For steel cylinder: A = 7,500 mm², E = 200 GPa, and a = 11.7 x 10-6/°C. For bronze sleeve: A = 12,400 mm², E = 83 GPa, and a = 19 x 10 6/°C. Compute the stress in the bronze when the temperature is 40°C. Select one: O a. 0 O b. 37.33 MPa O c. 22.58 MPa O d. 45.24 MPaThe cantilever beam shown is an aluminum pipe that has an outside diameter of 114 mm and an inside diameter of 97.3 mm. A moment of 3 kN-m is applied at the free end. Find the rotation at the free end of the pipe. Neglect the weight of the pipe. М 33KN.m 2m Mod. of Mod. of Coeff, of Elasticity Rigidity G Thermal Ultimate Strength Density kg /m3 x 10 Tensile Yield Strength F, MPa Expansion a m/m/C x 10-6 Poisson's MPa MPa MPa Ratio Material x 10 x 10 Tens. Comp. Shear Steel ASTM A36 or A501 7.85 207 83 250 400 11.7 0.25 Steel (high-strength low-alloy) ASTM A992 7.85 207 83 345 450 11.7 0.25 Steel AISI 1020 hot-rolled 7.85 207 79.3 210 380 11.7 0.25 Steel AISI 1040 hot-rolled 7.85 207 79.3 290 520 11.7 0.25 Stainless steel 7.85 200 80 280 580 410 11.7 0.25 (annealed) Cast iron (gray) 7.21 103 41 140 550 220 10.6 0.26 Aluminum allov 2.64 70 28 240 260 190 23.6 0.33 6061-T6 Magnesium alloy 1.794 45 17 210 280 140 26.1 0.34 Titanium alloy 4.40 114 45 900 970 690 9.7 Nominal Outside Inside…PROBLEMS 237. The lower ends of the three bars in the figure are at the same level before the rigid homogeneous 18Mg block is attached. Each steel bar has an area of 600mm² and E=200GPa. For the bronze bar, the area is 900mm² and E-83GPa. Find the stress developed in each bar. BRONZE 1.6M STEEL 1M 18Mg STEEL 1M ТЕСНА
- Determine the stress in each of the two vertical rods if the temperature rises 50 °C after the load P-75 KN is applied. Neglect the deformation and mass of the horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m °C. Aa 850 mm2 Es 210 GPa, as = 11.9 um/m.°C and As 650 mm2. %3D Steel Aluminum 2.5m 3m 3m 3 m 3m 75 kN(40 Hiw A Pismatic steel bar ofa Square cross section (loo*lo0)mm is looled by Comressive force P= 1300 kU, the bar has length 2.5 m, Eg=200 G Pa, V=0.3,determine the Shortening d, the increase in the dimensions of cross Section , the change in Volume DV of the bar? loomm JoommQ.48 The internal diameter of a shaft of steel is 70% of the external diameter. The shaft is to transmit 3500 kW at 200 rpm. If the maximum allowable stress in the shaft material is 50 MPa, calculate the diameter of the shaft. Find also the maximum twist of the shaft when it is stressed to the maximum permissible value. The length of the shaft is 4 m. Take G = 80 MPa.
- The Figure below shows a two-member truss supporting a block of weight W. The cross-sectional areas of the members are 800 mm² for AB and 400 mm² for AC. Determine the maximum safe value of W (kN) if the working stresses are 110 MPa for AB and 120 MPa for AC. ... B 40 deg. A 60 deg. A) 38.90 в) 55.30 61.70 76.2150 mm 6 mm B 100 mm. i The beam has simple supports and an overhang and is subjected to a point load and a uniform load as shown in the figure below. 12 KN q = 4.8 kN/m с 3 m Calculate the maximum tensile and compressive stresses of the beam. Assume that Ew sign convention.) MPa maximum tensile stress in wood MPa maximum tensile stress in steel MPa maximum compressive stress in wood MPa maximum compressive stress in steel B 900 1m = 11 GPa and Es 200 GPa. (Enter your answers in MPa. Use the deformation =A rigid beam is kept in a horizontal position by the two rods before the load is applied. Determine the stress (in MPa) in the bronze rod if P = 465 KN after the temperature decreases by 38 deg. Celsius. (Round your answer to 2 decimal places) (Exclude your unit in the answer box) L=4m steel 450 bronze bronze Ain mm E in GPa 4.5m 3.4m 1125 2.5m 83 200 a in x10* /C 22 11.7 steel L=7m
- Part A A solid steel shaft is 14 ft. long, has a diameter of 6 inches over 9 ft. of its length and a diameter of 4 inches for the remaining length, as shown. The shaft is in equilibrium when subjected to the 3 torques shown in the figure below. Ⓒ 4.24 ksi 0.354 ksi TA Ⓒ4.77 ksi 9.01 ksi 6 in. -9 ft. Calculate the maximum shear stress in the shaft when subjected to the given torques. 20 ft-kip B 5 ft-kip C 4 in.A compound tube consists of a steel tube 150 mm internal diameter and 170 mm external diameter and a brass tube of 170 mm internal diameter and 190 mm external diameter. The two tubes are of the same length. The compound tube carries an axial load of 1000 kN. Find the stresses and the load carried by each tube and the amount it shortens. Length of each tube is 140 mm. Take Ĕ for steel as 2 x 105 N/mm² and for brass as 1 x 105 N/mm².Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each material given that P = 15 kN? Specify whether tension or compression. Bronze Aluminum Steel A=400 mm? A=600 mm? A= 300 mm? 2P 3P 4P P -3 m + 5 m -4m