prismatic bar of length L is subjected to axial load P. Determine the maximum strain & along the bar length, given that the axial displacement along the member length varies according u = (12/L) × 10-3.
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- 6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring at A has coordinates (0, 0). If a load is applied to the ring at A, so that it moves it to the coordinate position (0.25 in., -0.73 in.), determine the normal strain in each bar. (Use the figure in Prob.5)The rigid bar ABC pivots about support B. After application of load P, end C of the rigid bar moves upward by 0.06 in. If the length of bar (1) is L₁ = 51 in, determine the average normal strain in bar (1). Assume that a = 135 in., b=32 in., and c = 0.06 in. 4₁ 1 a Rigid bar B b5. Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring at A has coordinates (0, 0). If a load P acts on the ring at A, the normal strain in AB becomes EAB = 0.02 in/in., and the normal strain in AC becomes EAC = 0.035 in/in. Determine the coordinate position of the ring due to the load. 60 5 in. 8 in. A P
- 2. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and length of the steel rod are given as 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,53x 10-3. Given that the total extension of the composite rod must not exceed 0,162 4 mm and E for steel is 200 GPa, respectively. Calculate: d. Modulus of elasticity for the brass.For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-62. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and length of the steel rod are given as 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,53x 10-3. Given that the total extension of the composite rod must not exceed 0,162 4 mm and E for steel is 200 GPa, respectively. Calculate: a. Strain in the steel rod
- 2. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and length of the steel rod are given as 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,53x 10-3. Given that the total extension of the composite rod must not exceed 0,162 4 mm and E for steel is 200 GPa, respectively. Calculate: b. Load carried by the steel and brass rods1. A circular aluminium tube of length L = 400 mm is loaded in compression by the force P. The outside and inside diameters are 60 mm and 50 mm, respectively. A strain gage is placed on the outside of the bar to measure normal strains in the longitudinal direction. 1.1 If the measured strain is ε = 550 x 10-6, what is the shortening δ of the bar? 1.2 If the compressive stress in the bar is intended to be 40 MPa, what should be the load P? 2. A cylindrical vessel has an internal diameter of 2 m. It is made of 15 mm thick plate. The efficiency of the longitudinal and circumferential joints are 80 % and 60 % respectively. If the ultimate tensile stress for the material is 500 MPa and the factor of safety is 6, determine the safe internal pressure to which the vessel may be subjected.2. A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and length of the steel rod are given as 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,53x 10-3. Given that the total extension of the composite rod must not exceed 0,162 4 mm and E for steel is 200 GPa, respectively. Calculate: a. Strain in the steel rod b. Load carried by the steel and brass rods d. Modulus of elasticity for the brass.
- 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L = 400 mm, v=0.35, and E = 70 GPa. L P a. 1.17 x 103 c. 2.03 х 103 b. 1.87 х 10-3 d. 2.36 x 103The rigid bar AB is supported by a pin at A and by the wire BD. 2,5 m If the load P causes point C to move 8 mm to the left, determine the normal strain in the wire. 3,5 m D 4.0 mThe state of strain at a point on a wrench has components E = 120(10-6), Ey = -180(10-6), Yzy= 150(10-6). Use Mohr's circle to solve the Part A problem. Determine the in-plane principal strains.