CHA P TE R 1
T E N S I O N,
COMPRESSION &
SHEAR
- Normal Stress & Strain
- Shear Stress & strain
,Example 1: A punch for making holes in steel plates is shown in
Fig (a). Assume that a punch having diameter d = 20 mm is used
to punch a hole in an 8-mm plate, as shown in the cross-sectional
view Fig (b). If a force P 110 kN is required to create the hole,
what is the average shear stress in the plate and the average
compressive stress in the punch?
,From the previous Example 1, state one assumption that can be
made from the analysis.
Ans: This analysis is highly idealized because of
disregarding impact effects that occur when a punch is
rammed through a plate. The inclusion of such effects
requires advanced methods of analysis that are beyond
the scope of mechanics of materials.
, Example 2: A car weighing 130 kN when fully loaded is pulled
slowly up a steep inclined track by a steel cable. The cable has an
effective cross-sectional area of 490 mm2 , and the angle α of the
incline is 30° . Calculate the tensile stress in the cable. Solution:
T E N S I O N,
COMPRESSION &
SHEAR
- Normal Stress & Strain
- Shear Stress & strain
,Example 1: A punch for making holes in steel plates is shown in
Fig (a). Assume that a punch having diameter d = 20 mm is used
to punch a hole in an 8-mm plate, as shown in the cross-sectional
view Fig (b). If a force P 110 kN is required to create the hole,
what is the average shear stress in the plate and the average
compressive stress in the punch?
,From the previous Example 1, state one assumption that can be
made from the analysis.
Ans: This analysis is highly idealized because of
disregarding impact effects that occur when a punch is
rammed through a plate. The inclusion of such effects
requires advanced methods of analysis that are beyond
the scope of mechanics of materials.
, Example 2: A car weighing 130 kN when fully loaded is pulled
slowly up a steep inclined track by a steel cable. The cable has an
effective cross-sectional area of 490 mm2 , and the angle α of the
incline is 30° . Calculate the tensile stress in the cable. Solution:
