Problem 2: Determine the normal strain in the wires supporting the rigid beam if point C has a 10mm vertical displacement after the load is applied. A -2 m B 1.5 m -3 m E 2 m
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- A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?A pipe is subjected to a tension force of P = 45 kN. The pipe outside diameter is 41 mm, the wall thickness is 6.0 mm, and the elastic modulus is E = 120 GPa. Determine the normal strain in the pipe. Select one: a. 0.001263 mm/mm b. 0.000535 mm/mm c. 0.000568 mm/mm d. 0.000794 mm/mm O e. 0.001382 mm/mm f. None5. 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
- A pipe is subjected to a tension force of P = 70 kN. The pipe outside diameter is 32 mm, the wall thickness is 6.0 mm, and the elastic modulus is E = 180 GPa. Determine the normal strain in the pipe. P Select one: O a. 0.001263 mm/mm O b. 0.000535 mm/mm O c. 0.000568 mm/mm O d. 0.000794 mm/mm e. 0.001382 mm/mm O f. NoneA pipe is subjected to a tension force of P = 180 kN. The pipe outside diameter is 42 mm, the wall thickness is 6.0 mm, and the elastic modulus is E = 210 GPa. Determine the normal strain in the pipe. Select one: O a. 0.001263 mm/mm O b. 0.000535 mm/mm O. 0.000568 mm/mm O d. 0.000794 mm/mm O e. 0.001382 mm/mm O f. NoneThe 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 m
- 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 bThe rigid bar ABC pivots about support B. After application of load P, end C of the rigid bar moves upward by 0.07 in. If the length of bar (1) is L₁-41 in, determine the average normal strain in bar (1). Assume that a-135 in, b-39 in, and c-0.15 in a b C Rigid bar 4 Part 1 * Incorrect Determine the distance that end A of the rigid bar moves downward, if end C moves upward by 0.07 in Answer: in VA i 003616. 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)
- 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 × 10-61-2-2 A force P of 70 N is applied by a rider to the front hand brake of a bicycle (P is the resultant of an evenly distributed pressure). As the hand brake pivots at A, a tension T develops in the 460-mm long brake cable (A, = 1.075 mm²) which elongates by 8 = 0.214 mm. Find normal stress and strain & in the brake cable. Brake cable, L= 460 mm PROB. 1.2-2 37.5 mm/A, Hand brake pivot A 50 mm -100 mm- P (Resultant of distributed pressure) Uniform hand brake pressureFor the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. εx = 255 × 10-6 εy = -320 × 10-6 γxy = -165 × 10-6