Problem $2$ Crane Reactions.. $(30$ Points$).$ Two cranes in tandem lift a pile rebar cage as shown.

Find: Reaction on rear wheels for initial lift$-$off. Given: $3$ FBDs needed for solution,

$2$a$)$ FBD $1,$ Determine tensile force on each crane cable via force diagram

$2$b$)$ FBDs $1,$ Confirm tensile force by summing Fx and Fy forces

$2$c$)$ FBDs $2$ & $3,$ Build Library by finding Tx & Ty components of crane cables

$2$d$)$ FBDs $2$ & $3$ Solve for reactions at rear wheels, $($Ra & Rf$).$

Determine if a crane will tip. A negative R

Problem $2$a $5$ points

Tensile Forces in crane cables C & D

By Force Diagram

Free Body Diagram $1$a

Law of Sines:

$\frac{A}{sina}=\frac{B}{sinb}=\frac{C}{sinc}$b or Rf means the crane will tip.

Problem $2$ Crane Reactions.. $(30$ Points$).$ Two cranes in tandem lift a pile rebar cage as shown.

Find: Reaction on rear wheels for initial lift$-$off. Given: $3$ FBDs needed for solution,

$2$a$)$ FBD $1,$ Determine tensile force on each crane cable via force diagram

$2$b$)$ FBDs $1,$ Confirm tensile force by summing Fx and Fy forces

$2$c$)$ FBDs $2$ & $3,$ Build Library by finding Tx & Ty components of crane cables

$2$d$)$ FBDs $2$ & $3$ Solve for reactions at rear wheels, $($Ra & Rf$).$

Determine if a crane will tip. A negative Rb or Rf means the crane will tip.

Problem $1$b: Find Reactions

$(5$ points$)$

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