MCQ in Strength of Materials Part 1 | ECE Board Exam

This is the Multiple Choice Questions Part 1 of the Series in Strength of Materials as one of the General Engineering and Applied Sciences (GEAS) topics. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize yourself with each and every question compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS), Strength of Materials Books, Journals, and other Strength of Materials References.

Start Practice Exam Test Questions Part 1 of the Series

Choose the letter of the best answer in each question.

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

A. Poisson’s ratio

B. Euler’s ratio

C. Refractive index

D. Dielectric index

2. What are the four basic forms of deformation of solid bodies?

A. Tension, compression, bending and twisting

B. Tension, compression, elongation and bending

C. Tension, compression, plastic and elastic

D. Tension, compression, elongation and torsion

3. What is a structural member supported horizontally and carries transverse loading?

A. Beam

B. Column

C. Arch

D. Shaft

4. What refers to a slender member which prevents parts of a structure moving towards each other under compressive force?

A. Tie

B. Column

C. Panel

D. Strut

5. What refers to a slender member which prevents parts of a structure moving towards each other under compressive force?

A. Tie

B. Column

C. Strut

D. Arch

6. What refers to the point in which the bending moment changes sign through a zero value?

A. Critical point

B. Point of inflection

C. Point of contraflexure

D. Point of zero stress

7. What is the unit of strain?

A. Pascal

B. Unitless

C. N-m

D. N-m/s

8. Volumetric stain is the:

A. change in volume per unit time

B. square root of difference of original volume and change in volume

C. original volume minus change in volume

D. ratio of change in volume to original volume

9. What refers to the stress in the material at the elastic limit?

A. Working stress

B. Yield stress

C. Ultimate stress

D. Maximum stress

10. Which of the following materials has the least modulus of elasticity?

A. Steel

B. Glass

C. Copper

D. Aluminum

11. Within elastic limit, the shear stress is proportional to shear strain. What is the constant of propotionality of this statement called?

A. Modulus of rigidity

B. Modulus of elasticity

C. Young’s modulus

D. Bulk modulus

12. What is the unit of the modulus of elasticity?

A. N-m

B. Unitless

C. Pa

D. N-m/s

13. Within elastic limit, the volumetric strain is proportional to the hydrostatic stress. What is the constant that relates these two quantities called?

A. Modulus of rigidity

B. Modulus of elasticity

C. Young’s modulus

D. Bulk modulus

14. What is another term for modulus of rigidity?

A. Shear modulus

B. Young’s modulus

C. Bulk modulus

D. Modulus of elasticity

15. How many times greater is the plastic range of strain as compared to the elastic range of strain?

A. 100

B. 200

C. 300

D. 400

16. What does it means when the material is said to be “yielding”?

A. The material has pass through plastic range and enter the elastic range

B. The material has pass through elastic range and enter the plastic range

C. The material is in the elastic range only

D. The material is in the plastic range only

17. What refers to the parallel axis theorem for second moment of area?

A. Mohr’s theorem

B. Steiner’s theorem

C. Maxwell’s theorem

D. Young’s theorem

18. The elastic deformation of a material is:

A. directly proportional to cross-sectional area of the material

B. inversely proportional to the modulus of elasticity of material

C. inversely proportional to the force acting on the material

D. inversely proportional to the initial length of the material

19. The strain energy of a member is:

A. inversely proportional to the square of the force acting on the member

B. directly proportional to the modulus of elasticity

C. inversely proportional to the cross-sectional area of the member

D. inversely proportional to the initial length of the member

20. Stiffness is:

A. ratio of force to deformation

B. ratio of force to modulus of elasticity

C. ratio of product of cross-sectional area and initial length to deformation

D. ratio of initial length to cross-sectional area

21. Which of the following substances has the least average coefficient of linear thermal expansion?

A. Copper

B. Concrete

C. Steel

D. Tin

22. Steel has a modulus of elasticity of _____ MPa.

A. 200

B. 2,000

C. 20,000

D. 200,000

23. What is the maximum moment of a beam supported at both ends and carries a uniform load of w throughout its entire length?

A. wL/2

B. wL/8

C. wL²/8

D. wL²/4

24. ____ is the stress beyond which the material will not return to its original shape when unloaded but will retain a permanent deformation.

A. Elastic limit

B. Proportional limit

C. Yield limit

D. Yield strength

25. All are methods of determining the bar force of a truss member except one. Which one?

A. Method of joints

B. Method of section

C. Method of virtual work

D. Maxwell diagram

26. Determine the force required to punch a ½ inch hole on a 3/8 thick plate if the ultimate shearing strength of the plate is 50,000 psi.

A. 23,562 lbs

B. 19,450 lbs

C. 20,550 lbs

D. 15,422 lbs

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

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 = 200,000 MPa.

A. 88.2 kN

B. 78.3 kN

C. 83.2 kN

D. 81.8 kN

32. An iron steam pipe is 200 ft long at 0oC. What will be its increase in length when heated to 100°C? Coefficient of linear expansion is 30 x 10^-6 per °C.

A. 0.18 ft

B. 0.12 ft

C. 0.20 ft

D. 0.28 ft

33. A steel railroad rails 10 m long are laid with clearance of 3 mm at a temperature of 15°C. At what temperature will the rails just touch? If there were no initial clearance Assume: alpha = 11.7 micro m/m deg.C and E = 200 GPa.

A. 46.90 deg

B. 56.06 deg

C. 50.36 deg

D. 40.64 deg

34. A cylinder of diameter 1.0 cm at 30°C is to be slide into a hole on a steel plate. The hole has a diameter of 0.99970 cm at 30°C. To what temperature the plate must be heated? Coefficient of linear expansion for steel is 1.2 x 10^-5 per °C.

A. 62°C

B. 55°C

C. 48°C

D. 65°C

35. A certain steel tape is known to be 100,000 ft long at a temperature of 70°F. When the tape is at a temperature of 10°F, what tape reading corresponds to a distance of 90,000 ft? Assume a coefficient of thermal expansion equal 65 x 10^-7 per °F.

A. 90,035 ft

B. 89,965 ft

C. 90,225 ft

D. 89,775 ft

36. A solid shaft 2.0 m long is transmitting 27 kN-m torque. If the shear modulus of the shaft material is 85 GPa and the allowable shearing stress is 70 MPa, determine the angle of twist between the two ends of the shaft.

A. 1.52°

B. 1.02°

C. 1.44°

D. 1.32°

37. Determine the maximum shearing stress in a helical steel spring composed of 20 turns of 20 mm diameter wire on mean radius of 80 mm when the spring is supporting a load of 20 kN?

A. d529 Gpa

B. 370 Pa

C. 25 kPa

D. 121 MPa

38. A 14-ft simple beam uniformly loaded with 200 pounds per foot over its entire length. If the beam is 3.625 in wide and 7.625 in deep, what is the maximum bending stress/

A. 7974 lbf/in²

B. 8205 lbf/in²

C. 6332 lbf/in²

D. 1674 lbf/in²

39. A 19-foot beam 10 inches wide and 20 inches high supports 1500 lb/ft on two supports 14 feet apart. The right end of the beam extends 2 feet past the support. What is the shearing stress midway between supports?

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, 20 mm wide and 0.8 mm thick runs over the pulley 600 mm in diameter of pulleys can be used without exceeding the flexural stress of 400 MPa? Note: E = 200 GPa.

A. 250 cm

B. 325 mm

C. 400 mm

D. 150 in.

43. What weight in pounds can be lifted by a screw that has an efficiency of 80% if it is operated by a 50 lb force at the end of a 30 inched lever and the pitch of the screw is ½ inch?

A. 15,080

B. 15,500

C. 10,000

D. 12,000

44. What is the stress in an 8-inch round x 16-inch high concrete cylinder (E = 2.5 x 10^6 psi) when the unit deformation is 0.0012 inch/inch?

A. 500 psi

B. 8100 psi

C. 210 psi

D. 3000 psi

45. What uniform load will cause simple beam which is 10 ft long to deflect 0.3 in. ft it supported (in addition to the supports) by a spring at the beam mid-point. The spring constant of 30,000 lbf/in. Assume the beam is steel, 10 in. deep, rectangular, and with a centroidal moment of inertia of 100 in⁴ .

A. 3550 lbf/ft

B. 6445 lbf/ft

C. 2250 lbf/ft

D. 5440 lbf/ft

46. During the stress strain test, the unit deformation at a stress of 35 MN/m² it was 667 x 10^-6 mm. If the proportional limit was MN/m², what is the modulus of elasticity?

A. 10 x 10^8 N/cm²

B. 5.8 x 10^6 N/in²

C. 2.1 x 10^5 N/mm²

D. 35 x 10^6 N/mm²

47. A 2.5 in. diameter shaft is 2 ft. long. Its maximum shear stress is 10,000 psi. What is the angular deflection in degrees?

A. 0.96°

B. 0.45°

C. 0.78°

D. 0.56°

48. An elevator weighs 1000 pounds and is supported by a 5/16 inch diameter cable, 1500 feet long. When the elevator carries a 1500 lb, the cable elongates 6 inches more. What is the modulus of elasticity of the cable?

A. 4.35 x 10^7 psi

B. 5.87 x 10^7 psi

C. 3.42 x 10^7 psi

D. 2.34 x 10^7 psi

49. A hallow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m. Compute the torque if the shear stress is not exceed 120 MPa.

A. 4,500 N-m

B. 4,300 N-m

C. 5,500 N-m

D. 3,450 N-m

50. A spherical tank with 10 inches inside diameter contains oxygen gas at 2,500 psi. Calculate the required wall thickness in (mm) under stress of 28,000 psi.

A. 6.12 mm

B. 5.66 mm

C. 4.88 mm

D. 7.21 mm

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