Two hard rubber blocks [G = 367 kPa] are used in an antivibration mount to support a small machine, as shown. Determine the shear strain in the blocks if the applied load P = 948 N. Assume a = 20 mm, b = 50 mm, and c = 80 mm. Note: Do not include units in your answer
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- The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.An clement of material subjected to plane strain (see figure) has strains of x=280106 , y=420106 , and xy=150106 . Calculate the strains for an element oriented at an angle = 35°. Show these strains on a sketch of a properly oriented element.A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shortening
- Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
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- A flexible connection consisting of rubber pads (thickness f = 9 mm) bonded to steel plates is shown in the figure. The pads are 160 mm long and SO mm wide. (a) Find the average shear strain yaiTi in the rubber if the force P = 16 kN and the shear modulus for the rubber is G = 1250 kPa. (b) Find the relative horizontal displacement 3 between the interior plate and the outer plates.A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.The figure below shows a hollow circular beam with an outside diameter of 150 mm and a wall thickness of 50 mm loaded in bending with force F = 400 kN. F Ra Rb 1 m 1 m Young's modulus of the beam is 95 GPa. Calculate the second moment of area, I, in m4 in the form a x 10 6 where the number a is correct to two decimal places. I: x10-°m4 Calculate the maximum bending moment, M, in kilonewtonmetres (kNm): M: kNm Calculate the maximum bending stress, o, in megapascals (MPa) correct to two decimal places. MPa