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Two tempered-steel bars, each
Fig. P2.111
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- 1. A steel rod with a cross sectional area of 150 sq.mm is stretched between two fixed points. The tensile load at 20 deg C is 5000 N. At what temperature will the stress be zero. Assume a=11.7μm/m - degC and E=200GPaarrow_forwardPlease fastarrow_forwardA bronzebar 3 m long with a cross sectional area of 320 mm 2 is placed between two rigid walls. At atemperature of 20 C, the gap is 25 mm. Find the temperature at which the compressive stress in the barwill be 35 MPa. Use α = 18.0 × 10 6 C and E = 80 GPaarrow_forward
- 40-mm Rod ABC consists of two cylindrical portions AB and BC; it is made of a mild steel that is assumed to be elastoplastic with E = 200 GPa and oy = 250 MPa. A force P is applied to the rod and then removed to give it a permanent set 8, = 2 mm. Determine the maximum value of the force P and the maximum amount 8, by which the rod should be stretched to give it the desired permanent 1.2 m diameter B 30-mm 0,8 m diameter set. Parrow_forwardTwo vertical wires are suspended at 450 mm apart. Their lower ends support a rigid horizontal bar that carries a load F. The left-hand wire is made of copper and has a diameter of 3 mm. The right-hand wire is made of steel and has a diameter of 2 mm. Calculate: (a) The position of F if the elongation in both wires is the same. (b) The load carried by each wire and the total elongation if F = 350 N and both wires are initially 3,5 m long. (Esteel = 200 GPa and Ecopper = 100 GPa).arrow_forwardRigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E₁ = 15,000 ksi and a diameter of d₁ = 0.45 in. Aluminum rod (2) has an elastic modulus of E₂ = 10,000 ksi and a diameter of d₂ = 0.70in. Aluminum rod (3) has a diameter of d3= 0.95in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L₁= 6 ft, L₂= 8 ft, and L3= 3 ft. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 2.0 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 55 ksi. If a factor of safety of 2.5 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B. 5 L₁ A₁ = A₂ = A A3 = i Bronze (1) i a B Aluminum (3)…arrow_forward
- Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.40 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.70in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft.arrow_forwardThe blue bar is made from steel with the following mechanical properties: Young's Modulus, E = 17x10° psi; Poisson's Ratio v = 0.31. The bar has a circular cross-section with diameter d= 0.50 in. being the length of each side. 557 lb 557 Ib 60 in. - Determine the following under the action of the axial load (assume elastic behavior): a. The bar's axial deformation, ô, in in.: b. The average axial or longitudinal strain, ELong: c. The change in the bar's diameter, in in.:arrow_forwardRigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E1 = 15,000 ksi and a diameter of d1 = 0.50 in. Aluminum rod (2) has an elastic modulus of E2 = 10,000 ksi and a diameter of d2 = 0.85in. Aluminum rod (3) has a diameter of d3 = 1.00in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. Assume a = 2.5 ft, b = 1.5 ft, L1 = 6 ft, L2 = 8 ft, and L3 = 3 ft. (A) Calculate the cross-sectional areas of the three rods. in in.2 (B) For a factor of safety of 2.1, calculate the allowable stresses in the bronze and the aluminum rods. IN KSI. (C) What is the magnitude of load P that can safely be applied to the structure for a minimum factor of safety of 2.1? in kips (D) The pin used at B has an ultimate shear strength of 58 ksi. If a factor of safety of 2.5 is required, determine the allowable shear stress in this pin.…arrow_forward
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