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The 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T1=15°C. If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mm. and they hold the cylinder snug with negligible force against the rigid jaws, determine the temperature at which the average normal stress in either the magnesium or the steel first becomes 12 MPa.
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- The three steel wires are used to support the load. If the wires have an allowable tensile stress of T aiow = 165 MPa, and wire AB has a diameter of 6 mm, BC has a diameter of 5 mm, and BD has a diameter of 7 mm, determine the greatest force P that can be applied before one of the wires fails.arrow_forwardThe gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank is designed to withstand a pressure of 3 MPa, determine the required minimum thickness of the cylinder and hemispherical shells and the minimum required number of bolts for each hemispherical cap. The tank and the 25 mm diameter bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively. The tank has an inner diameter of 4 m.arrow_forwardThe 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the bolt is subjected to a compressive force of P = 20 kN, determine the average normal stress in the steel and the bronze. Est = 200 GPa, Ebr = 100 GPa.arrow_forward
- 5. The rigid bar is supported by a smooth pin and two rods as shown. Neglect the weight of the rigid bar. The assembly is initially stress-free. Determine the stress in each rod if the temperature increases by 25°C after a load W = 100 kN is applied. The steel rod has an area of 320 mm² with a = 11.7 µm/ (m°C) and E = 200 GPa. For the bronze rod, it has an area of 1380 mm² with a = 18.9 μm/ ( mºC) and E = 83 GPa. Bronze 3 m Steel 1.5 m 1.0 m - O k 2.5 m 1.5 m W 6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire AD is made of copper. Assume that the three wires have constant cross-sectional area A = 0.0123 in². For steel wire, a = 8 x 106 in/ (inºF) and E = 29000 ksi and for copper wire, a = 9.6 x 10-6 in/ (inºF) and E = 17000 ksi. Calculate the axial force exerted by the three wires if the temperature is raised by 80°F. Answer: Pst = 10 lb, Pcu = 136 lb B D 40 in. 60 in. 45°-45° 60 in. A 150 lbarrow_forwardThe thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 500 psi and the axial tension and torsional loadings shown, determine the principal stress at a point on the surface of the pipe.arrow_forwardThe assembly consists of two A992 steel bolts AB and EF and an 6061-T6 aluminum rod CD. When the temperature is at 30° C, the gap between the rod and rigid member AE is 0.1 mm. Determine the normal stress developed in the bolts and the rod if the temperature rises to 130° C. Assume BF is also rigid.arrow_forward
- 8-23. The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm. Both the plug and the sleeve are 50 mm long. Determine the axial pressure p that must be applied to the top of the plug to cause it to contact the sides of the sleeve. Alsa, how far must the plug be compressed downward in order to do this? The plug is made from a material for which E-5 MPa, v -0.45.arrow_forwardThe d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 9 mm. If the normal stress produced in the rod by load P is 200 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head Calculate the cross-sectional area of the rod. Answer: Arodi mm²arrow_forwardThe d = 13-mm-diameter solid rod passes through a D=21-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 12 mm. The rod head has a diameter of a = 28 mm, and the head has a thickness of t = 8 mm. If the normal stress produced in the rod by load P is 150 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D Rod Head b Calculate the cross-sectional area of the rod. Answer: Arod mm²arrow_forward
- The d = 13-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load Pis applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 15 mm. The rod head has a diameter of a = 31 mm, and the head has a thickness of t= 10 mm. If the normal stress produced in the rod by load Pis 150 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate - Hole diameter D P Rod Нead a Calculate the cross-sectional area of the rod. Answer: Arod = i mm2arrow_forwardWhen the temperature is 10°C, the two rods are separated by a 0.5-mm 0.5 mm gap as shown. If the temperature rises to 90°C, determine (a) the normal stress in each rod, 300 mm 250 mm (b) the change in length of the stainless steel rod. A B Aluminum A = 2000 mm? E = 75 GPa a = 23 x 10-6/°C Stainless steel A = 800 mm? E = 190 GPa a = 17.3 x 10-/°Carrow_forward4-69. The assembly has the diameters and material make- up indicated. If it fits securely between its fixed supports when the temperature is T = 20°C, determine the average normal stress in each material when the temperature reaches T2= 40°C. 304 Stainless steel 2014-T6 Aluminum C 86100 Bronze A 300 mm 200 mm D. Cj100 'mm -1.2 m- 2 marrow_forward
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