If the length L 106 mm what is the total area that would be

If the length L = 106 mm, what is the total area that would be involved in shear failure if the 4 glued pieces of wood shown below would fail by shear?

Solution

Given

L1=106 mm,L2=125 mm,

as we have to calculate one side of total area of wood= L1*L2

=106*125=13250mm²

and there is 6mm wood in betweem two wood= 125*6=750 mm²

we have to substract this 6mm lenth area of wood in total area of wood one side=13250-750=12500 mm

and for calculate whole area of wood glued multiply it by 2

=2*12500=25000mm2

and we know shear stress can be calculated by formula

stress= force/area

=16*10000/25000

=6.4MPA of shear stress will act on area 25000 mm²