Mechanics of Materials — Quiz 4

Questions in this quiz (10)

1. A 5 m tall column is fixed at its base and free at the top (cantilever column in a sway-permitted frame). Determine the effective length of the column for buckling analysis.

   • 2.5 m
   • 5 m
   • 10 m
   • 7.5 m

2. A beam fixed at both ends with a span of 8 m carries a uniformly distributed load of 20 kN/m. Determine the fixed-end moment at each support.

   • 106.7 kN-m
   • 133.3 kN-m
   • 160.0 kN-m
   • 80.0 kN-m

3. A solid circular shaft has a diameter of 60 mm. A hollow circular shaft has an outer diameter of 70 mm and an inner diameter of 40 mm. Determine the ratio of torsional strength (torque capacity for same maximum shear stress) of the hollow shaft to the solid shaft.

   • 1.25
   • 1.45
   • 1.62
   • 1.80

4. A beam simply supported at A and B with a span of 10 m has an overhang of 2 m beyond support B. A concentrated load of 30 kN is applied at the end of the overhang. Determine the reaction at support B.

   • 6 kN
   • 9 kN
   • 12 kN
   • 36 kN

5. A thin-walled cylindrical pressure vessel with a radius of 250 mm and wall thickness of 10 mm is subjected to an internal pressure of 2.5 MPa and a torque of 12 kN-m. Determine the maximum in-plane shear stress in the vessel wall.

   • 12.5 MPa
   • 15.9 MPa
   • 18.2 MPa
   • 22.5 MPa

6. A steel bar ($$α = 10 × 10^{-6}$$ /°C) with a length of 3 m is installed between two rigid walls with a gap of 2 mm at one end. Determine the temperature increase required to close the gap.

   • 33.3°C
   • 50.0°C
   • 66.7°C
   • 83.3°C

7. An aluminum alloy has modulus of elasticity $$E=75\ \text{GPa}$$ and Poisson's ratio $$\nu=0.30$$. Determine the shear modulus of the material.

   • 25 GPa
   • 28.8 GPa
   • 30 GPa
   • 35 GPa

8. A simply supported beam with a span of $$12\ \text{m}$$ carries a concentrated load of $$40\ \text{kN}$$ at $$4\ \text{m}$$ from the left support. Determine the location of maximum deflection from the left support.

   • 4.0 m
   • 5.5 m
   • 6.0 m
   • 6.5 m

9. A wide plate with a small circular hole is subjected to a uniform tensile stress of $$60\ \text{MPa}$$ far from the hole. Using a stress concentration factor of $$3$$, determine the maximum stress at the edge of the hole.

   • 120 MPa
   • 150 MPa
   • 180 MPa
   • 200 MPa

10. A rectangular beam section has a width of $$150\ \text{mm}$$ and depth of $$250\ \text{mm}$$. If the yield stress of the material is $$240\ \text{MPa}$$, determine the plastic moment capacity of the section.

    • 300 kN-m
    • 375 kN-m
    • 450 kN-m
    • 525 kN-m