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Equilibrium.

Symmetry of stress: transverse xy stress implies longitudinal yx stress.

Symmetry.

Avg. shear stress.

shear stress at a point. #shr-pts

- \( V \) : shear force
- \( Q \) : First area moment of inertia of cut section ( \( Q = \Sigma \bar{y}'A' \) )
- \( I \) : Second area moment of inertia of whole cross-sectional area
- \( t \) : beam thickness

Shear stress at a given point (y) in a rectangular beam. #shr-rct

Max. shear stress in rectangular beam.

Shear flow (q). #shr-flw

Shear stress using shear flow.

**Adhesives** supply resistance along the length of the contacting parts. Determine the minimum shear strength at these contacting/weak points using the shear stress equation.

Example Problem: The following I-beam is composed of 4 boards glued together #blt-adh

**Fasteners** supply resistance at fixed intervals. Use the shear flow formula to analyze the beam.

Example Problem: The followling beam is composed of 2 boards connected by 6 nails. #blt-fst

Heads up!

** shear stresses in thin-walled members ** builds on this content.