Review Questions

 Review Questions: Transverse Loading on Beams and Stresses in Beam - Strength of Materials

REVIEW QUESTIONS

1. What is beam? What are the types? Differentiate three types of beams.

2. Discuss the usual way of sign conventions for shear force and bending moment.

3. Show that the relationship between shear force and bending moment is dM/dx = -F.

4. Draw the SFD and BMD for a cantilever beam of length 'L' carrying a point load at its free end. Show all principle values of SF and BM on the diagram.

5. Draw the SFD and BMD for a cantilever beam of length 'L carrying UDL of w per m length over its entire span indicating the principle values on the diagram.

6. Draw the SFD and BMD for a cantilever beam of 'L' carrying a UVL zero at the fixed end to 'w per m length at the free end. Show the principle values on the diagram.

7. Draw the SFD and BMD for a SSB of span 'L' carrying a central point load 'W'. Indicate the corresponding values on the diagrams.

8. Draw the SFD and BMD for a SSB of span 'L' carrying a UDL of 'w'/m length throught its length. Calculate the maximum bending moment and its position.

9. Draw the SFD and BMD for a SSB of span ‘L' carrying UVL zero at one end to 'w' per m length at other end. Find maximum BM.

10. How do you locate the point of contraflexure in an over hanging beam? Is the SSB having any point of contraflexure?

Review Questions: Transverse Loading on Beams and Stresses in Beam - Strength of Materials

REVIEW QUESTIONS

1. Derive from first principle the bending equation

 stating the assumptions made in developing the theory of simple bending.

2. What is flitched beam? Derive expressions for the equivalent moment of inertia of a composite beam in terms of moment of inertia of the component sections of two materials and their modular ratio.

3. Determine the size of the strongest wooden beam of rectangular cross section which can be cut out of a cylindrical rod of diameter d.

Review Questions: Transverse Loading on Beams and Stresses in Beam - Strength of Materials

REVIEW QUESTIONS

1. Derive an expression for the shear stress in a beam subjected to a constant shear force.

2. Prove that the ratio of maximum and average values of shear stress in rectangular and triangular section is 1.5. 

3. Prove that in a thin circular tube, the maximum intensity of shear is twice the mean intensity over the whole section.

4. If the cross section of a beam is circular with outside diameter D and inside diameter d, show that the ratio of maximum and mean values of shear stress in the beam is given by

5. A beam of triangular cross section with base b and height h, is used with the base horizontal. Calculate the intensity of shear stress and plot the variation of shear stress intensity along the section.

6. A rod of circular section is subjected to a shearing force on a plane perpendicular to its axis. Find the maximum shearing stress in terms of the shear force and the rod diameter.

7. Discuss the types of shear stresses in an I-section and derive expressions for the same.