MecMovies 4.0 : M1.1: Normal, Shear, and Bearing Stress

The figure shows a steel plate of width 60 millimeters and thickness 8 millimeters fixed to a gusset plate that is anchored to a column on the left by a pin. The diameter of the pin is 20 millimeters. An axial load of 70 kilo newtons acts on the plate and is directed to the right.

A $60 - mm$ wide by $8 - mm$ thick steel plate is connected to a gusset plate by a $20 - mm$ diameter pin. If a load of $P = 70 kN$ is applied, determine the normal, shear, and bearing stresses in this connection.

Normal stress on gross area

$A_{gross} = (60 mm) (8 mm) = 480 {mm}^{2} σ_{gross} = \frac{(70 kN) (1, 000 N / kN)}{480 {mm}^{2}} = 145.83 MPa = 145.8 MPa$

Normal stress on net area

$A_{net} = (60 mm - 20 mm) (8 mm) = 320 {mm}^{2} σ_{net} = \frac{(70 kN) (1, 000 N / kN)}{320 {mm}^{2}} = 218.75 MPa = 219 MPa$