Structures and Forces: Further Practice

Dead load vs. live load, arches, safety factor, centre of gravity, and bracing.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. A loaded bookshelf carries the weight of the books placed on it, separate from the shelf's own weight. What is the shelf's own weight called?
  2. An arch bridge made of stone blocks holds together because each block mainly experiences which kind of internal force?
  3. A support beam has a breaking load of 60000 N and is used under a working load of 12000 N. What is its safety factor?
  4. A tall tower and a short tower have the same mass and the same base width. Which is more likely to topple over in a strong wind, and why?
  5. Use the table below, showing how far four beams of different shapes sagged under the same 500 N test load. Which beam shape is the stiffest?
  6. A column has a cross-sectional area of 0.02 square metres and must safely carry a load of 8000 newtons. What is the stress on the column, in newtons per square metre?
  7. A tall bookshelf wobbles side to side. Adding a diagonal brace from one top corner to the opposite bottom corner stops the wobble. Which best explains why?
  8. A footbridge must carry its own 1200 kg deck plus up to 18 people averaging 65 kg each. What is the total load the supports must carry, in kilograms?

Answer these free