23 Find the value of the force on the most heavily loaded ri

23. Find the value of the force on the most heavily loaded rivet in Fig. 7-44. Ans. 1270 lb 2,2, 3 4 2 5000# Figure 7-44 Problem 23.

Solution

Given load(p)=5000 , Number of rivets=5

Direct shear load p_{s = 5000/5 . Centre of Gravity for the above figure is}

Take OX axis along the line of the centres of the rivets and OY axis line perpendicular to the OX axis on the first rivet.

x₁,x₂,x₃,x₄,x_{5= Distances of centre of gravity of each rivet from OY axis, y1,y2,y3,y4,y5= Distances of centre of gravity from OX axis}

X₁=0,X₂=4,X₃=4,X₄=11,X₅=13 , Y₁=Y₂=Y₃=Y₄=Y₅=0 ,X=(X1+X2+X3+X4+X5)/5 =30/5=6, Y=0 . THERE FORE CENTRE OF GRAVITY =6