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Discussion

Match each analytical step in List I with its purpose in List II.

List I

A. Cutting a closed section

B. Restoring a redundant shear flow

C. Equating rates of twist

D. Locating the shear centre

List II

1. Satisfying compatibility in a single cell

2. Making the problem statically determinate

3. Deciding whether a transverse load will twist the member

4. Closing a multi-cell system of equations

Select the correct match.

  • A.A-1, B-2, C-4, D-3
  • B.A-2, B-4, C-1, D-3
  • C.A-3, B-1, C-4, D-2
  • D.A-2, B-1, C-4, D-3

Answer: D

Correct answer: A-2, B-1, C-4, D-3

The four steps trace the method. A closed section is one degree redundant in shear, so it is cut to make it determinate; the redundant flow is then restored to satisfy compatibility; equating the rates of twist supplies the extra equations a multi-cell box needs; and locating the shear centre decides whether a given transverse load will twist the member at all.

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