Handouts
LINK: STRESS ANALYSIS
Topics:
Machine and Structure
Stress Analysis
Hooke's Law
Factor of Safety and Stress Concentration
Exercises
|
1. Compute for the induced stress, in MPa, of a steel solid shafting of 6 cm diameter and 5 m in length that is subjected to a temperature of 35 deg C to 120 deg C. a. 205.86 b. 245.38 c. 268.22 2. Determine the area, in sqm required for a rod that will carry a tensile load of 60,000 kg at a stress of 1300 kg/cm2, if the wall thickness is 12 mm. a. 3.6x10-3 b. 4.6 x10-3 c. 5.6 x10-3 d. 6.6 x10-3 3. A 25 m steel rod is heated from 25 deg C to 40 deg C. Calculate the total elongation of the rod if the coefficient of thermal expansion of steel is 12.0 x 10-6 m/m-oC. a. 2.23 mm b. 5.28 mm c. 4.31 mm d. 3.33 mm 4. A 5-in journal bearing with a length of 4 inches has a load of 60 kN. Find the stress developed. a. 3547.25 kPa b. 2098.11 kPa c. 4584.28 kPa 5. An 1.5-in diameter shaft develops a torque that varies from 2800 in-lb to 8600 in-lb. Find the variable component stress a. 28016.32 kPa b. 25187.11 kPa c. 32817.78 kPa 6. A wire 120 m long with negligible weight has a load of 30 kN and a modulus of elasticity of 200 GPa. If the wire elongation is 15 mm, determine the diameter of the rod. a. 35.22 mm b. 28.18 mm c. 38.00 mm d. 42.17 mm 7. Calculate the force needed to punch 2.5-in diameter hole from a 1/2-in thick plate if the ultimate shearing stress is 180 MPa. a. 155364 lbs b. 128768 lbs c. 133287 kPa d. 102549 kPa 8. A steel column has an ultimate compressive stress of 140 MPa. If it supports a load of 220 kN, determine the diameter of the column using a factor of safety of 4. a. 75.5 mm b. 82.2 mm c. 89.5 mm d. 73.4 mm 9. What temperature will the rails just touched if steel railroad that is 12 m long are laid with clearance of 2.5 mm at an initial temperature of 20 deg C. Use k=11.8 x 10-6 m/m-oC. a. 200 deg C b. 301 deg C c. 232 deg C d. 255 deg C 10. A rail having a coefficient of linear expansion of 11.2 x 10-6 m/m-oC increases its length when heated from 60 deg F to 150 deg F. Determine the strain. a. 6.6x10-4 b. 4.5 x10-4 c. 5.5 x10-4 d. 3.8 x10-4 11. A 25 m rod stretches to a strain of 0.00120. Calculate the deflection of the rod, in mm. a. 28 b. 30 c. 25 d. 32 12. An iron rod 5 m long and 0.8 square cm in cross section stretches 1 mm when a mass of 250 kg is hang on it. Compute the modulus of elasticity of the iron. a. 153.3 GPa b. 182.2 GPa c. 142.9 GPa d. 133.8 GPa 13. A steel wire 12 m long, hanging vertically supports a tensile load of 3 kN. Neglecting the weight of wire, determine the required diameter if the stress is not to exceed 130 MPa and the total elongation is not to exceed 6 mm. Let E=220 GPa. b. 7 mm c. 5 mm d. 8 mm 14. An 8mm steel wire is 6 m long and stretches 10 mm under a given load. If the modulus of elasticity is 180 GPa, find the load applied. a. 15 kN b. 14 kN c. 17 kN d. 16 kN 15. What is the modulus of elasticity if stress is 400 MPa and strain is 0.00128? a. 312.5 GPa b. 352.8 GPa c. 289.0 GPa d. 382.5 GPa 16. A shaft when subjected to pure torsion developed a stress of 60 MPa. If the polar moment of inertia is 7.1276 x 10-7 m4, determine the maximum torque the shaft could handle. a. 2.1 kN-m b. 1.6 kN-m c. 3.0 kN-m d. 4.1 kN-m 17. A 2.8-in shaft is subjected to 4 kN-m torque. Determine the stress developed. a. 43.3 MPa b. 51.8 MPa c. 56.6 MPa d. 60.0 MPa 18. Determine the force necessary to punch a hole of 28 mm diameter in a 25 mm thick plate, if the ultimate shear stress is 420 MPa. a. 723.6 kN b. 552.1 kN c. 880.0 kN d. 923.6 kN 19. Two 32 mm thick plate is fastened by two bolts, 25 mm in diameter. If the plate is subjected to 60 kN tension, determine the bearing stress in bolts. a. 38250 kPa b. 35000 kPa c. 37500 kPa d. 32580 kPa 20. An 18 mm diameter rivet is used to fasten two 25 mm thick plate. If the shearing stress of the rivet is 75 MPa, what tensile force applied in each plate to shear the bolt? a. 17 kN b. 18 kN c. 19 kN d. 20 kN 21. A steel hollow tube is used to carry a tensile load of 600 kN at a stress of 145 MPa. If the outside diameter is 10 times the tube thickness, determine the thickness of the tube. a. 9 mm b. 10 mm c. 12 mm d. 13 mm 22. A column supports a compressive load of 260 kN. Find the outside diameter of column if the inside diameter is 180 mm and compressive stress is 60 MPa. a. 182.8 mm b. 175.6 mm c. 194.7 mm d. 165.5 mm 23. A 20 mm stud bolts are used to fasten a 280 mm diameter cylinder head of a diesel engine. If there are 12 stud bolts, determine the pressure inside the cylinder if the bolt stress is 60 MPa. a. 2800.5 kPa c. 3211.7 kPa d. 3890.6 kPa 24. Determine the minimum diameter of a taper pin for use to fix a lever to a shaft, it is to transmit a maximum torque of 800 in-lb. The shaft diameter is 1.8-in and has a stress of 22,000 psi. a. 0.2268” b. 0.3521” c. 0.4533” d. 0.5012” 25. How many 1/2-in diameter hole that can be punched in one motion of a 1/8-in thick plate using a force of 80 tons. The ultimate shear stress is 58 ksi and design factor of 5. a. 13 b. 14 c. 15 d. 16 26. A shaft whose torque varies from 2000 to 6500 in-lb. It has a diameter of 1.25-in and yield stress of 62000 psi. Find the variable stress components. a. 6287.6 psi b. 5867.1 psi c. 7801.5 psi d. 8880.2 psi 27. Cable steel has a length of 150 m and stretch to 4 cm when the load is applied at both ends. If the tensile stress is 60 psi, determine the modulus of elasticity of steel. a. 265 ksi b. 321 ksi c. 224 ksi d. 101 ksi 28. A journal bearing has 9 cm diameter and length to diameter ratio of 2.5. Find the projected area, in mm2. a. 20250 b. 18111 c. 26227 d. 28015 29. A 3.0-in diameter by 1.7-in long journal bearing is to carry 4800 lb load at 340 rpm using SAE 40 lube oil at 230 deg F through a single hole at 28 psi. Calculate the bearing pressure. a. 697.22 psi b. 831.82 psi c. 721.11 psi d. 941.18 psi 30. If the ultimate shear strength of steel plate is 46,000 psi, what force is necessary to punch a 1.0-in diameter hole in a 3/4-in thick plate, use a factor of safety of 3.0. a. 108.4 x103 lbs b. 98.3x103 lbs c. 125.2 x103 lbs d. 135.5 x103 lbs 31. Steel tie rod on bridge must withstand a pull of 6500 lbs. Find the diameter of the rod assuming a factor of safety of 3.5 and ultimate stress of 65,000 psi. a. 0.45-in c. 0.83-in d. 0.77-in |
J-B Johnson Equation
The piston rod of a reciprocating water plunger pump may be considered to be a column with one fixed and one guided end (n=2). Determine the size of the rod necessary for 203 mm diameter cylinder using 1.38 MPa maximum water pressure. The rod is 508 mm in length and is made of steel having an ultimate strength of 482 MPa and an elastic limit of 262 MPa. The permissible working stress in 55 MPa.
SOLUTION:
