Solved Example of Pinned Truss – the Average Normal and Shear Stresses in Members and Pins

Hi,
A simple truss has pin-connected members. The members carry only axial forces, but the pins have to bear the shear stresses. Given example shows the calculation for the minimum required diameter of pin-connected in double shear.

 

Problem(as in Figure 1)

Two structural members AB and BC (shown below) are connected by a pin at B that is subjected to two 5-kip horizontal forces. The pins used at A and C are identical to the pin at B. The allowable shear stress for pins is 15 ksi, and the allowable bearing stress for members AB and BC is 20 ksi. Determine:
(a) the maximum average normal stress in members AB and BC.
(b) the minimum required diameters of the pins.

The solution in Figure 2

figure1 Problem – Pinned truss member
Figure 1. Handwritten solution of Pinned Members, Static equilibrium

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