Riveted joints – definition of joint strength:\nThe strength of a riveted joint (per pitch length) is defined as which of the following?

Introduction / Context:
Designing riveted (and bolted) joints requires identifying the weakest failure mode. Each pitch length of a joint can fail by plate tearing, rivet shear, or bearing (crushing). The safe joint capacity equals the lowest resistance among these competing modes.

Given Data / Assumptions:

• P_t = resistance against plate tearing across the net section per pitch.
• P_s = total shear resistance of all rivets in that pitch length.
• P_c = total bearing (crushing) resistance of rivets and plate in that pitch.
• Load is axial and uniformly distributed over the considered pitch.

Concept / Approach:
Structural capacity is governed by the first mode to reach its limit. Therefore, the joint strength equals the minimum of the three resistances. This definition aligns with limit-state design and classical working-stress design philosophies where the weakest link dictates overall strength.

Step-by-Step Solution:

Verification / Alternative check:
Inspection of failed joints typically shows a clear governing mode (net-section fracture, sheared shanks, or bearing deformation), confirming that the minimum resistance controls.

Why Other Options Are Wrong:

• Any single mode (P_t, P_s, or P_c) may overestimate capacity if another mode is weaker.
• Summing the capacities is non-physical; failure occurs by one mechanism, not all simultaneously in a load-sharing manner.

Common Pitfalls:
Ignoring staggered (diagonal) tearing paths, multi-row effects, or double shear where applicable; always evaluate all relevant modes for the given joint configuration.

Final Answer:
Minimum of P_t, P_s, or P_c