Strength of Materials

In a beam subjected to bending, where is the maximum bending stress located?

• At the neutral axis

• At the topmost and bottommost fibers of the beam

• At the centroid of the cross-section

• Along the length of the beam

1.       The neutral axis of the cross-section of a beam is the axis at which the normal stress due to bending is

• zero

• minimum

• maximum

• infinity

If the moment of inertia I of a beam section is increased, what happens to the bending stress for a given bending moment?

• It increases

• It decreases

• It remains the same

• It becomes zero

The bending stress in a beam is directly proportional to:

• The applied bending moment

• The distance from the neutral axis

• The moment of inertia of the beam's cross-section

• The applied bending moment and the distance from the neutral axis

Which of the following factors does NOT affect the bending stress in a beam?

• The material of the beam

• The length of the beam

• The cross-sectional area

• The type of loading

For a beam of rectangular cross-section, how does the normal stress due to bending vary along the height of the beam?

• Linearly

• Parabolically

• Exponentially

• Logarithmically

A rectangular beam of width b and height hhh is subjected to a shear force V. What is the formula for the maximum shear stress in the beam?

• \tau_{max} = \frac{2V}{3(bh)}

• \tau_{max} = \frac{6V}{bh}

• \tau_{max} = \frac{3V}{2(bh)}
• \tau_{max} = \frac{V}{bh}

A simply supported beam with a rectangular cross-section of width b =100 mm and height h = 200 mm is subjected to a bending moment M = 10 kNm. What is the maximum norma stress due to bending in the beam?

• 45 MPa

• 30 MPa

• 15 MPa

• 10 MPa

The shear stress distribution in a beam with a rectangular cross-section is:

• Uniform across the depth

• Constant at all points except at the neutral axis

• Zero at the neutral axis and maximum at the top and bottom surfaces

• Parabolic, with maximum at the neutral axis

10. A cantilevr beam subjected to a point load at its free end. Identify the loaction and magnitude of the maximum slope.