Structural Mechanics

Shear Centre

Question Lab$1$B$.1,($Required knowledge: Module $7$ material$)$

A long, $7$ mm diameter bolt passes through a $30$ mm thick plate. If the force in the bolt is $8$ kN $,$ determine:

a$)$ The average normal stress in the bolt

b$)$ The average shear stress along the cylindrical area of the plate defined $b$ the section lines $a-a$

c$)$ The average stress in the bolt head along the cylindrical area defined by the section lines $b-b$

Question Lab$1$B$.2$

$($Required knowledge: Modules $6$ & $8$ material$)$

The composite beam is constructed from wood and reinforced with a steel strap at the top and bottom.

The beam is subjected to a shear force V of $50$ kN $.$

$E_{st}=200$GPa

$E_w=15$GPa

Determine:

a$)$ The maximum transverse shear stress in the beam

b$)$ The transverse shear stress at the top edge of the wood