PROBLEM $4$

CENG $3361$

Given:

Beam AE is supported by a pin at A and a tension cable at B $.$ The beam supports a

uniform dead load of $4\frac{k}{f}t($which includes the dead weight of the beam$)$ and a point

live load of $10$ k $.$ The point load can be located anywhere along AE$.$

Find:

$($a$)$ Where must the point load be placed to maximize the tension in BC$?$

$($b$)$ What is the design strength $P_u$ for cable BC $?$

$($c$)$ Using LRFD design procedures, what is the minimum required area of

cable BC$?($Remember$,A_n=A_g$ for the cable$)$

Bonus $(3$ pts$)$: Using the minimum required area for the cable, approximate

the deflection at B when subjected to the design strength $P_u.$

Solution: