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Normal and Shear stresses on inclined sections
b
c
ϴ
A
P
2D view of the normal section
(thickness perpendicular to the
page)
2D view of the inclined section
Stress
The force P can be resolved into components:
Normal force N perpendicular to the inclined plane, N = P cos θ
Shear force V tangential to the inclined plane V = P sin θ
If we know the areas on which the forces act, we can
calculate the associated stresses.
Stress
A prismatic bar having cross-sectional area A=1200mm2 is compressed by an
axial load P=90KN. Determine the stress acting on an inclined section pq cut
through the bar at angle ϴ = 250
Stress
Example

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Mechanics of materials

  • 1. Normal and Shear stresses on inclined sections b c ϴ A P 2D view of the normal section (thickness perpendicular to the page) 2D view of the inclined section Stress
  • 2. The force P can be resolved into components: Normal force N perpendicular to the inclined plane, N = P cos θ Shear force V tangential to the inclined plane V = P sin θ
  • 3. If we know the areas on which the forces act, we can calculate the associated stresses. Stress
  • 4. A prismatic bar having cross-sectional area A=1200mm2 is compressed by an axial load P=90KN. Determine the stress acting on an inclined section pq cut through the bar at angle ϴ = 250 Stress Example