SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b I Bronze: A 1200 mm E83 GPa L-2.0m What is the value of P Steel: A 900 mm E 200 GPa L=1.5m
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- SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c = 1.7m. b C NANTSELEINE Steel: A = 900 mm² E = 200 GPa L=1.5m Bronze: A=1200 mm² E=83 GPa L=2.0m What is the ratio of the elongation of steel to bronze? O 0.367 O 0.433 O 0.467 0.3333) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5mThe light rigid bar ABCD shown is pinned at C and connected to two vertical rods. The bar was initially horizontal, and the rods were stress-free before the load P = 20 KN is applied. %3D Steel E200 GPa A-600mm L1 m 2.0 m 0.6 m 1.5 m Pa20 KN Aluminum E-70 GPa A=900mm L-1.5 m What is the ratio of the deformation of steel to deformation of aluminum?
- A hollow aluminum tube is rigidly attached between steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in aluminum of 80 MPa, in steel of 150 MPa or bronze of 100 MPa. Steel Aluminum Bronze А P> ЗР - 2P outside = 30 mm d inside = 20 mm d d = 16 mm d = 60 mm -100mm- -150mm- -125mm-SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b I Steel: A 900 mm Bronze: A E 200 GPa E 83 GPa L-2.0m L=1.5m What is the value of P without exceeding the allowable stress of steel, in KN? 230 250 280 340 1200 mmIn the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum Brass
- In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: a,=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m В 40 mm diameter 1.3 m C Aluminum BrassIn the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses OAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (8B) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aa=23.9*10-6 1/°C, Eal=72GPA //// A 60 mm diameter 1.1 m B 40 mm diameter 1.3 m Aluminum BrassAn aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm? A = 400mm? A - 200mm 40KN 10KN 20KN 2.5m 2.0m 1.5m
- The solid rod has a diameter of 20mm. Find the following: Angle of twist at C with respect to A (in radians) Angle of twist at B with respect to A (in radians) Maximum shear stress at A (in MPa) (Shear stress at support, at a point 7mm from center. (in MPa) A-36 steel with the following properties: Modulus of Elasticity, E = 29x10^3 ksi or 200 GPa Shear Modulus/Modulus of Rigidity, G = 11.5x10^3 ksi or 79.3 GPa Poisson's Ratio, nu = 0.260 Temperature Coefficient for thermal expansion, a = 6.6x10^-6/°F or 11.7x10^-6/°CSITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4The rigid bar 2 m long is supported by a steel rod at the middle B and bronze rods equidistant from both ends at A and C as shown. The properties of the rods are given in the tabulation below. Steel Bronze Allowable stress 140 MPa 120 MPa Modulus of Elasticity, E 200 GPa 83 GPa Area, A 400 mm2 900 mm2 Length, L 1,000 mm What is the required length of the steel rod so the reactions on the three rods are the same? What is the required length of the steel rod so that both the steel and the bronze rods reach their allowable stresses at the same time? What is the maximum permissible load W that the rods can carry?