The two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the
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- The two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (-0.47 in., -0.16 in.). Assume a - 17 ft, b-34 ft, c-12 ft, and d - 24 ft. Determine the normal strain in each bar. Answer: EAB- T EBC i P a e (1) B UE με b (2) C d5. 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 PI Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étv
- 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 bThe state of a plane strain at a point has the components &x 500 (10-5), ɛy = 250 (10-6) and Yxy = 200 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: E1 = 535 (10 ), e2 = -215 (10-) and ymax in-plane = -320 (10 ). %3D = 535 (10-), E = 215 (10) and ymax in-plane = 160 (10). E = 535 (10), ɛ2 = -215 (10°) and ymax in-plane = 320 (10). E = 535 (10-), 82 = 215 (10) and ymax in-plane = 320 (10). E1 = -535 (10) E2 = -215 (10) and ymax in-pare = -320 (10°).
- The state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.The 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 00361The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.
- Your answer is partially correct. The strain components for a point in a body subjected to plane strain are ɛ, = -890 µɛ, ɛ, = -690µɛ and yy = -682 prad. Using Mohr's circle, determine the principal strains (ɛp1 > Ep2), the maximum inplane shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = 927.99 με. Ep2 = 1116.0 PE. Vip = 188.01 prad. Ymax = -188.01 prad. Op = 36.821. 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.The state of strain on an element has components Px = -300(10-6), Py = 100(10-6), gxy = 150(10-6). Determine the equivalent state of strain, which represents (a) the principal strains, and (b) the maximum in-plane shear strainand the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element