PROBLEMS 1. Four cylinders rolling in opposite directions has a speed ratio of A:B:C:D = 5:3:1:4. If center distance between cylinder A and C is 70 inches, find the diameter of cylinder D. A 18.75 in B. 26.34 in C. 12.45 in D. 16.37 in 2. Shaft A with 12 inches diameter pulley running at 250 rpm is connected to shaft B by means of 26 inches diameter pulley. Another pulley on shaft B 16 inches diameter is connected to 10 inches diameter pulley on shaft C. Find the speed of shaft C. A. 184.61 rpm В. 284.56 грm C. 173.45 rpm D. 197.44 rpm 3. If the ultimate shear strength of steel plate is 45,000 psi, what force is necessary to punch a 0.9 in diameter hole in a 0.5 in thick plate using a factor of safety of 3.5. A 63,617 Ibs B. 61,567 Ibs C. 65,378 ibs D. 69,345 lbs 4. Determine the minimum diameter of a taper pin for use to fix a lever to a shaft, if it is to transmit a maximum torque of 750 in-lb. The shaft diameter is 1.5 inches and has an ultimate stress of 100,000 psi. Use factor of safety of 5. A 0.252 in B. 0.452 in C. 0.642 in D. 0.826 in 5. A steel hollow tube is used to carry a tensile load of 500 KN at a stress of 140 Mpa. If outside diameter is 10 times the tube thickness of the tube. A 11.24 mm B. 107 mm C. 20.64 mm D. 22.61 mm 6. A column supports a compressive load of 250 KN. Determine the outside diameter of column if inside diameter is 185 mm and compressive stress of 50 Mpa. A. 200.62 mmB. 201.47 mmC. 216.42 mm D. 208.41 mm 7. A 20 mm diameter rivet is used to fastened two 25 mm thick plate. If the shearing stress of rivet is 80 Mpa, what tensile force applied each plate to shear the bolt? A 26.35 KN B. 28.42 KN C. 30.41 KN D. 25.13 KN 8. lever, secured to a 50 mm round shaft by a steel tapered pin (d = 10 mm), has a pull of 200 N at a radius of 800 mm. Find S, the working stress on the pin, in Mpa. Consider double shear on the pin. A. 41 B. 43 C. 46 Ď. 48 9. Find the polar moment of inertia of a hollow shaft 50 mm inner diameter and wall thickness of 10 mm. A 1.74 x 10 m B. 5.55 x 10 m C. 8.55 x 10 m D. 4.23 x 10° m 10. A horizontal cantilever beam, 20 ft long is subjected to a load of 5000 b located to its center. The dimension of the beam is 8 x 12 inches respectively. w = 120 lb/ft, find its flexural stress. A 3150 psi B. 2912 psi C. 4625 psi D. 5663 psi 11. A vertical load of 1000 N acts at the end of a horizontal rectangular cantilever beam 3 m long and 30 mm wide. If the allowable bending stress is 100 Mpa, find the depth of the beam. A 77.46 mm B. 38.43 mm C. 54.77 mm D. 45.34 mm 12. The shaft is subjected to a steady load of 36,000 in-lb at a shear stress of 10,000 psi. Compute the diameter of the said shaft in inches. A 17/8 B. 2% с. з D. 2% 13. Find the section modulus of shaft having 2.5 in diameter. B. 4.56 in D. 8.46 in C. 5.45 in 14. A steel tie rod on bridge must be made to withstand a pull of 4500 Ibs. Find the diameter of the rod C. 0.462 in A 3.07 in assuming a factor of safety of 4 and design stress of 15,000 psi. B. 0.234 in A 0.618 in D. 0.834 in 15. A simply supported beam is 50 mm by 150 mm in cross section and 5 m long. If the flexural stress is not to exceed 8.3 Mpa, find the maximum mid-span concentrated load. A. 0.623 KN B. 0.987 KN C. 1.245 KN D. 4.34 KN