고체역학 (Beer) — Analysis and Design of Beams for Bending: Problem 5.28

5.28 Determine (a) the distance \( a \) for which the absolute value of the bending moment in the beam is as small as possible, (b) the corresponding maximum normal stress due to bending. (See hint of Prob. 5.27.) From Figure P5.28: Beam section: W14 × 22 Load at \( A \): \( 5 \text{ kips} \downarrow \) Support at \( C \): Roller at distance \( a \) from \( A \) Load at \( D \): \( 10 \text{ kips} \downarrow \), at distance \( 8 \text{ ft} \) from \( C \) Support at \( B \): Roller at distance \( 5 \text{ ft} \) from \( D \)