Strength Of Materials Questions

1. What is the ratio of the transverse strain to the corresponding axial strain in a body subjected to uniaxial stress?

5. What refers to a slender 9. What refers to the stress in the 13. Within elastic limit, the member which prevents parts of material at the elastic limit? volumetric strain is proportional a structure moving towards each to the hydrostatic stress. What is other under compressive force? A. Working stress the constant that relates these B. Yield stress two quantities called? A. Tie C. Ultimate stress A. Poisson’s ratio B. Column D. Maximum stress A. Modulus of rigidity B. Euler’s ratio C. Strut B. Modulus of elasticity C. Refractive index D. Arch 10. Which of the following C. Young’s modulus D. Dielectric index materials has the least modulus D. Bulk modulus 6. What refers to the point in of elasticity? 2. What are the four basic forms which the bending moment 14. What is another term for of deformation of solid bodies? changes sign through a zero A. Steel modulus of rigidity? value? B. Glass A. Tension, compression, C. Copper A. Shear modulus bending and twisting A. Critical point D. Aluminum B. Young’s modulus B. Tension, compression, B. Point of inflection C. Bulk modulus elongation and bending C. Point of contraflexure 11. Within elastic limit, the shear D. Modulus of elasticity C. Tension, compression, D. Point of zero stress stress is proportional to shear plastic and elastic strain. What is the constant of 15. How many times greater is D. Tension, compression, 7. What is the unit of strain? propotionality of this statement the plastic range of strain as elongation and torsion called? compared to the elastic range of A. Pascal strain? 3. What is a structural member B. Unitless A. Modulus of rigidity supported horizontally and C. N-m B. Modulus of elasticity A. 100 carries transverse loading? D. N-m/s C. Young’s modulus B. 200 D. Bulk modulus C. 300 A. Beam 8. Volumetric stain is the: D. 400 B. Column 12. What is the unit of the C. Arch A. change in volume per unit modulus of elasticity? 16. What does it means when the D. Shaft time material is said to be “yielding”? B. square root of difference of A. N-m 4. What refers to a slender original volume and change in B. Unitless A. The material has pass member which prevents parts of volume C. Pa through plastic range and enter a structure moving towards each C. original volume minus D. N-m/s the elastic range other under compressive force? change in volume B. The material has pass D. ratio of change in volume to through elastic range and enter A. Tie original volume the plastic range B. Column C. The material is in the elastic C. Panel range only D. Strut D. The material is in the plastic range only

17. What refers to the parallel 20. Stiffness is: 24. ____ is the stress beyond axis theorem for second moment which the material will not return of area? A. ratio of force to deformation to its original shape when B. ratio of force to modulus of unloaded but will retain a A. Mohr’s theorem elasticity permanent deformation. B. Steiner’s theorem C. ratio of product of crossC. Maxwell’s theorem sectional area and initial length A. Elastic limit D. Young’s theorem to deformation B. Proportional limit D. ratio of initial length to C. Yield limit 18. The elastic deformation of a cross-sectional area D. Yield strength material is: 21. Which of the following 25. All are methods of A. directly proportional to substances has the least average determining the bar force of a cross-sectional area of the coefficient of linear thermal truss member except one. Which material expansion? one? B. inversely proportional to the modulus of elasticity of material A. Copper A. Method of joints C. inversely proportional to the B. Concrete B. Method of section force acting on the material C. Steel C. Method of virtual work D. inversely proportional to the D. Tin D. Maxwell diagram initial length of the material 22. Steel has a modulus of 26. Determine the force required 19. The strain energy of a elasticity of _____ MPa. to punch a ½ inch hole on a 3/8 member is: thick plate if the ultimate A. 200 shearing strength of the plate is A. inversely proportional to the B. 2,000 50,000 psi. square of the force acting on the C. 20,000 member D. 200,000 A. 23,562 lbs B. directly proportional to the B. 19,450 lbs modulus of elasticity 23. What is the maximum C. 20,550 lbs C. inversely proportional to the moment of a beam supported at D. 15,422 lbs cross-sectional area of the both ends and carries a uniform member load of w throughout its entire D. inversely proportional to the length? initial length of the member A. wL / 2 B. wL / 8 C. wL2 / 8 D. wL2 / 4

27. A simply supported beam, 10 m long carries a uniform distributed load of 20 kN/m. What is the value of the maximum moment of the beam due to the load? A. 10,000 kN-m B. 5,000 kN-m C. 2,000 kN-m D. 250 kN-m 28. A cylindrical water tank is 8 m in diameter and 12 m high. If the tank is to be completely filled, determine the minimum thickness of the tank plating if the stress is limited to 40 MPa. A. 11.77 mm B. 13.18 mm C. 10.25 mm D. 12.60 mm 29. The stress in a 90-cm diameter pipe having a wall thickness of 9.5 cm and under a static head of 70 m of water is A. 325 kPa B. 32.5 kPa C. 32.5 MPa D. 3.25 MPa

30. A 30-m long aluminum bar is subjected to a tensile stress of 175 MPa. Determine the elongation if E = 69116 MPa. A. 78 mm B. 76 mm C. 74 mm D. 72 mm

33. A steel railroad rails 10 m 36. A solid shaft 2.0 m long is 39. A 19-foot beam 10 inches long are laid with clearance of 3 transmitting 27 kN-m torque. If wide and 20 inches high supports mm at a temperature of 15oC. At the shear modulus of the shaft 1500 lb/ft on two supports 14 what temperature will the rails material is 85 GPa and the feet apart. The right end of the just touch? If there were no initial allowable shearing stress is 70 beam extends 2 feet past the clearance Assume: alpha = 11.7 MPa, determine the angle of twist support. What is the shearing micro m/m deg.C and E = 200 between the two ends of the stress midway between GPa. shaft. supports? A. 46.90 deg B. 56.06 deg C. 50.36 deg D. 40.64 deg

A. 1.52o B. 1.02o C. 1.44o D. 1.32o

31. Determine the load capacity in kN on a 25 mm diameter x 1200 mm long steel shaft if its maximum elongation shall not exceed 1 mm. Assume E = 34. A cylinder of diameter 1.0 cm 37. Determine the maximum 200,000 MPa. at 30oC is to be slide into a hole shearing stress in a helical steel on a steel plate. The hole has a spring composed of 20 turns of A. 88.2 kN diameter of 0.99970 cm at 30oC. 20 mm diameter wire on mean B. 78.3 kN To what temperature the plate radius of 80 mm when the spring C. 83.2 kN must be heated? Coefficient of is supporting a load of 20 kN? D. 81.8 kN linear expansion for steel is 1.2 x 10^-5 per oC. A. d529 Gpa 32. An iron steam pipe is 200 ft B. 370 Pa long at 0oC. What will be its A. 62oC C. 25 kPa increase in length when heated B. 55oC D. 121 MPa to 100oC? Coefficient of linear C. 48oC expansion is 30 x 10^-6 per oC. D. 65oC 38. A 14-ft simple beam uniformly loaded with 200 A. 0.18 ft 35. A certain steel tape is known pounds per foot over its entire B. 0.12 ft to be 100,000 ft long at a length. If the beam is 3.625 in C. 0.20 ft temperature of 70oF. When the wide and 7.625 in deep, what is D. 0.28 ft tape is at a temperature of 10oF, the maximum bending stress/ what tape reading corresponds to a distance of 90,000 ft? Assume A. 7974 lbf/in2 a coefficient of thermal B. 8205 lbf/in2 expansion equal 65 x 10^-7 per C. 6332 lbf/in2 oF. D. 1674 lbf/in2 A. 90,035 ft B. 89,965 ft C. 90,225 ft D. 89,775 ft

A. 1.0 psi B. 10 psi C. 67 psi D. 2.0 psi 40. A long beam of length L has a formula which is 48Ely = w (2x^4 – 5Lx^3 + 3(L^2 )(x^2)); where does the maximum deflection occur? A. 0.675L B. 0.578L C. 0.987L D. 0.876L 41. A steel support must connect to 30,000 pound tensile loads separated by 200 inches. The maximum allowable stress is 10,000 psi and the maximum elongation is 0.020 inch. What is the required area? E(steel) = 3 x 10^7 psi A. 30.5 mm2 B. 47.1 in2 C. 55 mm2 D. 10 in2

42. High strength steel band saw, 45. What uniform load will cause 48. An elevator weighs 1000 20 mm wide and 0.8 mm thick simple beam which is 10 ft long pounds and is supported by a runs over the pulley 600 mm in to deflect 0.3 in. ft it supported 5/16 inch diameter cable, 1500 diameter of pulleys can be used (in addition to the supports) by a feet long. When the elevator without exceeding the flexural spring at the beam mid-point. carries a 1500 lb, the cable stress of 400 MPa? Note: E = 200 The spring constant of 30,000 elongates 6 inches more. What is GPa. lbf/in. Assume the beam is steel, the modulus of elasticity of the 10 in. deep, rectangular, and withcable? A. 250 cm a centroidal moment of inertia of B. 325 mm 100 in4 . A. 4.35 x 10^7 psi C. 400 mm B. 5.87 x 10^7 psi D. 150 in. A. 3550 lbf/ft C. 3.42 x 10^7 psi B. 6445 lbf/ft D. 2.34 x 10^7 psi 43. What weight in pounds can C. 2250 lbf/ft be lifted by a screw that has an D. 5440 lbf/ft 49. A hallow shaft has an inner efficiency of 80% if it is operated diameter of 0.035 m and an by a 50 lb force at the end of a 46. During the stress strain test, outer diameter of 0.06 m. 30 inched lever and the pitch of the unit deformation at a stress Compute the torque if the shear the screw is ½ inch? of 35 MN/m2 it was 667 x 10^-6 stress is not exceed 120 MPa. mm. If the proportional limit was A. 15,080 MN/m2, what is the modulus of A. 4,500 N-m B. 15,500 elasticity? B. 4,300 N-m C. 10,000 C. 5,500 N-m D. 12,000 A. 10 x 10^8 N/cm2 D. 3,450 N-m B. 5.8 x 10^6 N/in2 44. What is the stress in an 8C. 2.1 x 10^5 N/mm2 50. A spherical tank with 10 inch round x 16-inch high D. 35 x 10^6 N/mm2 inches inside diameter contains concrete cylinder (E = 2.5 x oxygen gas at 2,500 psi. 10^6 psi) when the unit 47. A 2.5 in. diameter shaft is 2 Calculate the required wall deformation is 0.0012 inch/inch? ft. long. Its maximum shear thickness in (mm) under stress of stress is 10,000 psi. What is the 28,000 psi. A. 500 psi angular deflection in degrees? B. 8100 psi A. 6.12 mm C. 210 psi A. 0.96o B. 5.66 mm D. 3000 psi B. 0.45o C. 4.88 mm C. 0.78o D. 7.21 mm D. 0.56o