The shear center of a thin-walled structural cross-section is defined as the point through which a transverse shear load must be applied such that the beam undergoes:

(A) Bending without any accompanying twisting (torsion)

(B) Twisting without any accompanying bending deflection

(C) Zero longitudinal normal stress throughout the cross-section

(D) Equal shear stress distribution across all web segments

Answer Key:

A

### 5-Stage Derivation & Analytical Solution: 1. **Stage 1: Definition:** The shear center is the kinematic center of twist of a cross-section. 2. **Stage 2: Decoupling Mechanism:** When the line of action of the applied transverse load passes through the shear center, the moment produced by the external load balances the moment produced by internal shear flows about that point. 3. **Stage 3: Result:** The member bends in flexure without torsional distortion. 4. **Stage 4: Distractor Elimination:** Option B describes pure torque about the elastic axis. Option C describes a neutral axis property. 5. **Stage 5: Official Reference:** David J. Peery, *Aircraft Structures*, Chapter 7; T.H.G. Megson, Chapter 17.

← Prev Question Next Question →