A simply supported beam spanning $28$ ft$.$ is loaded as shown. The beam cross section is uniform and is to be cast of concrete with fc$=4,000$ psi and Grade $60$ rebar.

Based on the given information above, please answer Question $1$ to $11.$

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Flag question: Question $1$

Question $12$ pts

Determine minimum beam height h $($Unit: inch$)$ of the beam. Round up your answer to next whole number, if needed.

Group of answer choices

h$=18"$

h$=21"$

h$=19"$

h$=20"$

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Flag question: Question $2$

Determine minimum and maximum width b$.$ Round up your answer to next whole number, if needed.

Group of answer choices

bmin $=12$ in$.,$ bmax $=14$ in$.$

bmin $=13$ in$.,$ bmax $=18$ in$.$

bmin $=12$ in$.,$ bmax $=16$ in$.$

bmin $=11$ in$.,$ bmax $=14$ in$.$

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Flag question: Question $3$

Assuming b$=12$ and h $=21,$ determine the self$-$weight $($Wsw$)$ of the beam in lbs$/$ft$.$ Round up your answer to next whole number, if needed.

Group of answer choices

Wsw $=189$ lbs$/$ft

Wsw $=263$ lbs$/$ft

Wsw $=243$ lbs$/$ft

Wsw $=274$ lbs$/$ft

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Flag question: Question $4$

Question $42$ pts

Determine the ultimate beam load $($Wu$).$ Use $12"$x$21"$ section. Specify all loads in Kips$/$ft$.$

Group of answer choices

Wu $=0\mathrm{.}98$ kips$/$ft

Wu $=1\mathrm{.}26$ kips$/$ft

Wu $=1\mathrm{.}12$ kips$/$ft

Wu $=1\mathrm{.}38$ kips$/$ft

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Flag question: Question $5$

Question $51$ pts

Assuming a $3$ inch effective cover and h $=21$ inch, determine the value of effective depth d for this beam.

Group of answer choices

d $=16$ in$.$

d $=15$ in$.$

d $=18$ in$.$

d $=14$ in$.$

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Flag question: Question $6$

Question $62$ pts

Determine the Ultimate Moment $($Mu$)$ for which the beam of Fig. $1$ must be designed. Use appropriate cases from the design tables and combine the results, if needed. Make sure to perform all steps in your calculations $($you need to upload them at the end of the test$).$ Round up your answer to next whole number, if needed.

Group of answer choices

Mu$=105$ ft$-$k

Mu$=100$ ft$-$k

Mu$=110$ ft$-$k

Mu$=120$ ft$-$k

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Flag question: Question $7$

Question $72$ pts

If Mu $=110$ kips$-$ft$,$ determine the required As and select the minimum number of $6$ rebar in $1$ row necessary for a $12$x$21$ beam cross section. Click on the correct answer

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Group of answer choices

Required Area of steel is: As $=2\mathrm{.}00$ in$2$

Number of #$6$ rebar needed are$=5$

Actual Area of steel is: As $=2\mathrm{.}21$ in$2$

Required Area of steel is: As $=1\mathrm{.}53$ in$2$

Number of #$6$ rebar needed are$=4$

Actual Area of steel is: As $=1\mathrm{.}77$ in$2$

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Flag question: Question $8$

Question $84$ pts

For this beam, using a $12$x$21$ cross section, reinforced as specified in your previous question solution, check validity of ACI$-1$ Equation. Perform all steps $($you need to upload them at the end of the test to get full credit$)$

Use Mu $=110$ kips$-$ft$.$

Group of answer choices

ACI$-1$ check is not valid.

ACI$-1$ check is valid.

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Flag question: Question $9$

Question $94$ pts

For this beam, using a $12$x$21$ cross section, reinforced as specified in your previous question solution, check ACI$-2$ equation is valid or invalid.

Use As $=1\mathrm{.}76$ inch$2.$

Group of answer choices

ACI$-2$ check is valid.

ACI$-2$ check is not valid.

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Flag question: Question $10$

Question $104$ pts

Design size & spacing for Shear reinforcement for this beam.

Group of answer choices

#$3$ @ $12"$c$/$c

#$3$ @ $9"$ c$/$c

#$4$ @ $6"$ c$/$c

#$4$ @ $12"$ c$/$c

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Flag question: Question $11$

Question $112$ pts

Sketch the final longitudinal & transverse sections of the beam & Sketch both flexural and Shear reinforcement? Click on the correct final sketch.

Group of answer choices