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Mechanics of Materials
- A hollow steel tube with an inside diameter of 100 mm must carry a tensile load of 400 kN. Determine the outside diameter of the tube if the stress is limited to 120MN/m?arrow_forwardsteel bar ABCD consists of three sections: AB is of 30mm diameter and 100 mm long, BC is 20 mm square and 400 mm long, and CD is of 12 mm diameter and 200mm long. The bar is subjected to an axial compressive load which induces a stress of 50 MN/m2 on the largest cross-section. Determine the total decrease in the length of the bar when the load is applied. For steel E = 210GN/m2 .arrow_forwardThe rigid bar ABC is supported by a pin at A and a steel rod at B. Determine the largest vertical load P that can be applied at C if the stress in the steel rod is limited to 55 ksi and the vertical movement of end C must not exceed 0.17 in. Neglect the weights of the members. L = 4 ft A = 0.5 in.2 E = 29 ×106 psi В 2 ft - 3 ftarrow_forward
- If the allowable bearing stress for the material under the supports at A and B is op = 810 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 3 in. by 3 in. The reactions at the supports are vertical. Assume w = 750 lb/ft, a = 10 ft, and b = 5 ft. Answer: Pmax = i b lbarrow_forwardIf the allowable bearing stress for the material under the supports at A and B is O₂ = 840 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 5 in. by 5 in. The reactions at the supports are vertical. Assume w=600 lb/ft, a = 12 ft, and b = 6 ft. Answer: Pmax MI W a B lbarrow_forwardThe solid circular rod has a cross-sectional area of 420 mm². It is subjected to a uniform axial distributed loading along its length of w = 5 kN/m. Two concentrated loads also act on the rod: P = 6 kN and Q = 4 kN. Determine the normal stress in the rod at x = 0.1 m. Assume a = 0.5 m and b = 0.9 m. W >P MPa a Answer: 0= i B barrow_forward
- Rod BD is made of steel (E = 29 × 106 psi) and is used to brace the axially compressed member ABC. The maximum force that can be developed in member BD is 0.02P. If the stress must not exceed 18 ksi and the maximum change in length of BD must not exceed 0.001 times the length of ABC, determine the smallest-diameter rod that can be used for member BD. Take P = 148 kips.The smallest-diameter rod that can be used for member BD is in.arrow_forwardThe solid circular rod has a cross-sectional area of 470 mm². It is subjected to a uniform axial distributed loading along its length of w = 8 kN/m. Two concentrated loads also act on the rod: P = 5 kN and Q = 7 kN. Determine the normal stress in the rod at x = 1.4 m. Assume a = 0.5 m and b = 1.2 m. A -> a Answer: 0 = i B W b C MPa Qarrow_forwardBar (1) has a cross-sectional area of 0.75 in.2. If the stress in bar (1) must be limited to 48 ksi, determine the maximum load P that may be supported by the structure. A 6 ft O 17.65 kips 16.12 kips 13.80 kips 21.60 kips O 23.27 kips D B (1) 4 ftarrow_forward
- A column has an outside diameter, D = 550 mm, an inner diameter, d = 150 mm.Determine the average normal stress developed on the cross section if the load, F is1890 kN.arrow_forwardIf the allowable bearing stress for the material under the supports at A and B is 0,730 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 3 in. by 3 in. The reactions at the supports are vertical. Assume w=550 lb/ft, a = 10 ft, and b = 5 ft. Answer: Pmax= b Ibarrow_forwardThe wood pole is supported by two cables. The turnbuckles in the cables are tightened until the tensile force in each cable reaches 110 kN. If the working compressive stress for wood is 35 MPa, determine the smallest permissible outer diameter (mm) of the pole. Use wall thickness, t = 15 mm. Cable Turnbuckle A Post d₂ 60° 60°arrow_forward
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