Question

Consider the beam AB shown in the figure below. Part AC of the beam is rigid while Part CB has the flexural rigidity EI. Identify the correct combination of deflection at end B and bending moment at end A, respectively.

• A. $\frac{P{L}^3}{3EI},2PL$
• B. $\frac{P{L}^3}{3EI},PL$
• C. $\frac{8P{L}^3}{3EI},2PL$
• D. $\frac{8P{L}^3}{3EI},PL$

Answer 1

The correct option is A $\frac{P{L}^3}{3EI},2PL$



Part AC is rigid so structure can be modified as



Deflection at end
$B=\frac{P{L}^3}{3EI}$
Bending moment at
$A=$ Force $\times$ Lever Arm
$=P\times 2L=2PL$