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- The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 110 GPa] with a cross-sectional area of A1 = 210 mm2. Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A2 = 620 mm2. All bars are unstressed before the load P is applied; however, there is a 2-mm clearance in the pin connection at A. Assume L1 = 2150 mm, a = 1050 mm, b = 630 mm, c = 490 mm, and L2 = 1600 mm. If a load of P = 60 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar.For the riveted bracket shown in the figure below. P = 250 kN. The rivets have diameter of 25mm. The connection can be analyzed by replacing the given load with an equivalent loading composed of a vertical force along acting through the centroid of the rivets and a moment. 1. Which of the following most nearly gives the shearing stress in each rivet due to the vertical force alone acting at the centroid? a. 127.3 MPa b. 145.6 MPa c. 112.8 MPa d. 186.4 MPa 2. Which of the following most nearly gives the shearing stress in rivet D in MPa? a. 134.7 b. 113.9 c. 85.6 d. 156.7 3. Which of the following most nearly gives the stress in rivet B when the instantaneous is 200 mm to the left of cg, in MPa? a. 274.5 b. 341.8 c. 389.6 d. 187.5A design model for a transmission-line tower is shown in the figure. Members GH, FG, OP, and NO are insulated cables; all other members are steel bars. (write answers in kN in 2 decimals) Sign Convention: Tension--> (+) Compression--> (-) 1. compute the force in member EJ
- A compound girder consists of a 45 cm by 18 cm steel joist, of weight 1000 N/m, with a steel plate 25 cm by 3 cm welded to each flange. If the ends are simply-supported and the effective span is 10 m, what is the maximum uniformly distributed load which can be supported by the girder? What weld thicknesses are required to support this load? Allowable longitudinal stress in plates = 110 MN/m^2 Allowable shearing stress in welds = 60 MN/m^2 Allowable shearing stress in web of girder = 75 MN/m^2A solid 2.5 in. diameter cold-rolled brass [G=6,400 ksi] shaft that is L1+L3=123 in. long extends through and is completely bonded to a hollow aluminum [G=3,800 ksi ] tube, as shown in the figure. Aluminum tube (1) has an outside diameter of 3.750 in., an inside diameter of 2.500 in., and a length of L1=64 in. Both the brass shaft and the aluminum tube are securely attached to the wall support at A. External torques in the directions shown are applied at B and C. The torque magnitudes are TB=5.0 kip⋅ft and TC=1.5 kip⋅ft, respectively. After TB and TC are applied to the composite shaft, determine: the maximum shear stress magnitude in brass shaft segment (3). [Answer: 5.87 ksi]A helical spring composed of 20 turns is fabricated by wrapping wire 10mm in diameter around a forming cylinder 150mm in diameter. Compute the maximum load that the spring can carry if the total elongation is limited to 90mm and the allowable shearing stress is 90 MPa. G=28 GPa.
- A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in diameter and 6 bronze bolts on a concentric bolt circle 200 mm. in diameter. What are the sizes of bolts diameters for steel and bronze, if the torque applied is 6,000 N-m and without exceeding the stress of 60 MPa in the steel and 40 MPa for the bronze? The ratio of the bolt diameter db / ds = 0.50. For steel, use Gs = 83 GPa and for bronze, Gb = 28 Gpa.A flanged bolt coupling consist of six 10 mm. diameter steel bolts on a bolt circle 300 mm. in diameter, and four 10 mm. steel bolts on a bolt concentric bolt circle of 200 mm. in diameter. (a) Determine the torque applied (N-m) if the shearing stress is 60MPa in the bolts. (b) If the torque capacity increased to 8 kN-m, determine the number of bolts of 10 mm. diameter on the 300 mm. bolt circle of the coupling.A laminated plastic beam of square cross section is built up by gluing together three strips, each 20mm x 60mm in cross section (see figure). The beam has a total weight of 2.2 N and is simply supported with span length L=220mm. Considering the weight of the beam (q) calculate the maximum permissible CCW moment M that may be placed at the right support. (a) If the allowable shear stress in the glued joints is 0.4MPa. Round to the nearest tenth. (b) If the allowable bending stress in the plastic is 8 MPa. Round to the nearest hundredth.
- 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 -4mThe bar 1 consists of an aluminum cover and a brass core. The data is presented in the table. Determine: a. The maximum force P that can be applied at C. Answ: 84.22 kN. b. The deformation at the point where the load is applied. Answ: 1.5278 mm.The solid 34 mm diameter steel [E = 200 GPa] shaft supports two belt pulleys. For the loading shown, determine: (a) the shaft deflection at pulley B. (b) the shaft deflection at pulley C. Assume P = 810 N, Q = 480 N, LAB = 260 mm, LBC = 400 mm