x$=5,$ y$=4$ z$=2$

Problem $2$:

You are asked to design the beam in figure $2-1$ for a building. The architects and engineers in charge of the preliminary design concluded that such beam is to withstand the following dead and imposed loads, respectively: $G_k=14+(\frac{y}{10})k\frac{N}{m},Q_k=8k\frac{N}{m}.$

Question $1$: As a preliminary calculation, you want to use the recommended values for shear and moment found in Table $6\mathrm{.}1$ in HKConcrete $2013.$ Does the beam comply with the conditions required to use that Table? Why?

Question $2$: As a preliminary calculation, you want to use the recommended values for shear and moment found in Table $6\mathrm{.}1$ in HKConcrete $2013.$ Do the dead and impose loads comply with the conditions required to use that Table? Why?

Question $3$: How many load combinations are the minimum required to find all the pertinent moments and shears on the beam, i$.$e$.,$ moments at spans and shears and moments at supports?

Question $4$: Draw the load combinations referred in the answer to Question $3.$ Include the following information:

a$)$ Schematically draw blocks to represent a higher or lower load combination applied $($shown as color blocks in the figure $2-2$; you do NOT need colors, just a difference in block size is enough$)$

b$)$ The load combination formula $($inside the blocks in the example figure $2-2)$

c$)$ The total resulting distributed load applied in $k\frac{N}{m}($shown on top of each block in the figure $2-2)$

d$)$ The maximum moments found for each loading combination, e$.$g$.$ Mmax at span or at support $($shown below the beam in the figure $2-2)$

Question $5$: Draw the shear and moment diagrams $($separately$)$ for the Load Combination that would give the maximum moment at support D$.$

Question $6$: Fill out the summary table for the moments and circle the maximum moments at each support and span. This table should include the values computed by HKConcrete$2013($Table $6\mathrm{.}1,$ included$).$ Show your work for these computations. You do NOT need to draw the envelope. The fields marked with $"x"$ do NOT need to be filled out.

$\backslash$table$[[,\backslash$table$[[$At outer$],[$support$]],\backslash$table$[[$Near middle$],[$of end span$]],\backslash$table$[[$At first$],[$interior$],[$support$]],\backslash$table$[[$At middle of$],[$interior$],[$spans$]],\backslash$table$[[$At interior$],[$supports$]]],[$Moment$,0,0\mathrm{.}09Fl,-0\mathrm{.}11Fl,0\mathrm{.}07Fl,-0\mathrm{.}08Fl$

Problem $2$:

You are asked to design the beam in figure $2-1$ for a building. The architects and engineers in charge of the preliminary design concluded that such beam is to withstand the following dead and imposed loads, respectively: $G_k=14+(\frac{y}{10})k\frac{N}{m},Q_k=8k\frac{N}{m}.$

$1540<mn>1</mn>$

Question $1$: As a preliminary calculation, you want to use the recommended values for shear and moment found in Table $6\mathrm{.}1$ in HKConcrete $2013.$ Does the beam comply with the conditions required to use that Table? Why?

Question $2$: As a preliminary calculation, you want to use the recommended values for shear and moment found in Table $6\mathrm{.}1$ in HKConcrete $2013.$ Do the dead and impose loads comply with the conditions required to use that Table? Why?

Question $3$: How many load combinations are the minimum required to find all the pertinent moments and shears on the beam, i$.$e$.,$ moments at spans and shears and moments at supports?

Question $4$: Draw the load combinations referred in the answer to Question $3.$ Include the following information:

a$)$ Schematically draw blocks to represent a higher or lower load combination applied $($shown as color blocks in the figure $2-2$; you do NOT need colors, just a difference in block size is enough$)$

b$)$ The load combination formula $($inside the blocks in the example figure $2-2)$

c$)$ The total resulting distributed load applied in $k\frac{N}{m}($shown on top of each block in the figure $2-2)$

d$)$ The maximum moments found for each loading combination, e$.$g$.$ Mmax at span or at support $($shown below the beam in the figure $2-2)$

Question $5$: Draw the shear and moment diagrams $($separately$)$ for the Load Combination that would give the maximum moment at support D$.$

Question $6$: Fill out the summary table for the moments and circle the maximum moments at each support and span. This table should include the values computed by HKConcrete$2013($Table $6\mathrm{.}1,$ included$).$ Show your work for these computations. You do NOT need to draw the envelope. The fields marked with $"x"$ do NOT need to be filled out.

$\backslash$table$[[,\backslash$table$[[$At outer$],[$support$]],\backslash$table$[[$Near middle$],[$of end span$]],\backslash$table$[[$At first$],[$interior$],[$support$]],\backslash$table$[[$At middle of$],[$interior$],[$spans$]],\backslash$table$[[$At interior$],[$supports$]]],[$Moment$,0,0\mathrm{.}09Fl,-0\mathrm{.}11Fl,0\mathrm{.}07Fl,-0\mathrm{.}08Fl$