HOMEWORK $-1$B

Problem #$2$: Assume that you are working for precast concrete fabricator and your job responsibility also includes assessment of shipping plan for massive concrete girders to job sites along with designing them. Following picture $($Fig$.1$A$)$ shows how a massive bulb$-$tee $($BT$)$ shape girder is typically shipped using a long truck to our structure lab in SERC building for a project. The schematic of the beam transportation can be represented as shown in figure $1$ b $.$

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Figure $1$B: schematic showing the location of supports.

The concrete beam is $54$ ft long, $78$ in $.$ deep and is built with $110$ pcf density, $8000$ psi high strength concrete. The cross$-$section of the bridge beam is shown in the figure below. Ignore the chamfer while estimating the area.

Estimate the self$-$weight of the beam per liner foot.

Draw the free body diagram of the bridge beam.

Estimate the support reaction forces at Support $1$ and Support $2($assume support $1$ is pin; support $2$ is roller$)$

The Tuscaloosa city department of transportation $($TDOT$)$ has set a limit for maximum load at every wheel axle location as $28$ kips. Will you able to transport the beam to our lab in SERC? Assume that the front axle $($where the reaction not shown in figure $1$b$)$ is not taking any load from the beam. $($Hint: Estimate the reaction forces $($R$1$ and R$2)$ at wheel axles and compare it to the $($imit$).$

Consider the frame shown in $($Figure $1).$ Assume that the support at $A$ is a roller and at $C$ is a pin. Joint $B$ is fixed connected Suppose that $F_1=7kN$ and $F_2=2kN$

Part A

Determine the $y$ component of reaction at $A.$

Express your answer to three significant figures and include the appropriate units.

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Part B

Determine the $x$ and $y$ components of reaction at $C.$

Express your answers in kilonewtons to three significant figures separated by a comma. $$

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