127/3337–11FE Reference Handbook 10.4 · Mechanics of Materials · Shear

Handbook formula

Single vs Double Shear on a Pin

Count the shear planes. A clevis/fork (double shear) shares P across two cross-sections. Bearing stress is P/(d t) on the contact projection.

Load
πd²/4 of the pin

Step-by-step solved example

Pin d=20 mm, P=80 kN, double shear. τ?

Pspacing
Clevis pin: two shear planes share P.
  1. 1. Area

    A=π×10²=314 mm², two planes.

  2. 2. τ

    80000/(2×314)=127 MPa.

Answer: τ ≈ 127 MPa

10 practice questions

0/10 correct

1.Single-shear pin with the same P,d has τ

2.Bearing stress on a plate of thickness t is

3.A=πd²/4 = 500 mm², P=100 kN single: τ =

4.Bolt in double shear at a gusset

5.If the pin yields in shear at 0.6 Fy, capacity (double) is

6.Wood joints often crush in bearing before

7.Punching a hole: shear area is

8.Average τ assumes

9.Clevis pin is the textbook

10.d doubled, double shear, same P: τ becomes