1.2. Hooke’s Law and Basic Concepts

Try these first

1. 1.

   What is the formula for calculating tensile stress?

   Hint

   Think about how force distributes over an area.

2. 2.

   Define strain in your own words.

   Hint

   Relate it to how a rubber band stretches when pulled.

3. 3.

   What does Hooke's Law relate to?

   • Stress and strain
   • Force and area
   • Length and width

   Hint

   Remember what happens when you stretch a rubber band.

4. 4.

   True or False: Strain is a dimensionless quantity.

   • True
   • False

   Hint

   Think of it in comparisons.

5. 5.

   A cylindrical rod made of steel with a diameter of 10 mm is subjected to a tensile force of 5000 N. Calculate the stress developed in the rod and determine if it exceeds the allowable tensile stress for steel, which is 250 MPa.

   Hint

   Convert units where necessary.

6. 6.

   Consider a column made of concrete subjected to a compressive load that causes a volume change of 20 cm³ in its original volume of 2000 cm³. Determine the volumetric strain and discuss its implications.

   Hint

   Visualize how structures support loads without crushing.