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To determine the number of rivets required in the splice of the diagonal member, we first need to calculate the shear capacity of a single rivet. The shear strength of a rivet can be estimated using the formula ( \tau = 0.6 \times f_u ), where ( f_u ) is the ultimate tensile strength of the rivet material. Given the gross diameter of 26 mm, the shear area of one rivet is ( A_s = \frac{\pi}{4} \times (d^2) ).
Assuming a mild steel rivet with an ultimate tensile strength of approximately 400 MPa, we can calculate the shear strength and then determine the total shear force from the diagonal load of 800 kN. Finally, dividing the total force by the shear capacity per rivet will yield the required number of rivets.
Given the calculations, you would typically find that around 5-6 rivets would be needed, but this would require specific numerical calculations based on the shear strength of the material and the actual load conditions.
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