Unriveted (solid) plate strength per pitch length in riveted joint design\n\nFor a plate of thickness t, pitch p, and allowable tensile stress σ_t, what is the strength of the unriveted (solid) plate per pitch length?

Introduction / Context:
In riveted joint design, capacities per pitch length are compared for several failure modes. The strength of the unriveted (solid) plate is the baseline tensile capacity if no rivet hole weakened the section.

Given Data / Assumptions:

• Plate thickness t and pitch p between rivets.
• Allowable tensile stress in the plate σ_t.
• Linear elastic, uniform stress distribution assumed for nominal capacity comparison.

Concept / Approach:
The unriveted (solid) plate per pitch carries tension across the full pitch area A_solid = p * t. Its tensile capacity equals allowable stress times this area.

Step-by-Step Solution:
Solid area per pitch: A_solid = p * t.Allowable tensile capacity: F = σ_t * A_solid.Therefore, solid plate strength per pitch = p * t * σ_t.

Verification / Alternative check:
Compare with net section capacity (p − d) * t * σ_t used for plate tearing around the rivet; the solid capacity is larger because no hole reduces the area.

Why Other Options Are Wrong:
(a) and (d) relate to bearing or shear modes; (c) gives net section (tearing) strength, not the unriveted plate; (e) uses circular area, irrelevant for plate tension over pitch width.

Common Pitfalls:
Confusing solid, net, and bearing capacities; mixing symbols σ_t (tension), σ_c (bearing/crushing), and τ (shear).

Final Answer:
p * t * σ_t