Cracking Moment $($Uncracked Concrete Stage$)$

Problem $1)$ Problem $2\mathrm{.}6($page $55,$ McCormac and Brown, $9^{th}$ Ed$.)$

Note: Modify the total depth of the beam from ${24}^{\text{'}\text{'}}$ to ${26}^{\text{'}\text{'}}$ and the depth of the steel rebars from ${21}^{\text{'}\text{'}}$ to ${23}^{\text{'}\text{'}}.$

Transformed Area Method $($Concrete Cracked $-$ Elastic Stresses Stage$)$

Problem $2)$ Problem $2\mathrm{.}13($page $56,$ McCormac and Brown, $8^{th}$ Ed$.)$

Note: Make the following changes:

Change $f,$ to $5$ ksi

use the values and dimensions shownin the figure below

$($a$)$ Find the reactions at $A($left support$)$ and B $($right support$)$

$($b$)$ Determine the maximum applied moment.

$($c$)$ Calculate the cracking moment of the beam and verify that the beam has cracked under the applied loads.

$($d$)$ Calculate the cracked moment of inertia. Note that you will need to first calculate the concrete modulus of elasticity and modular ratio. Do not use the textbook modular ratio of $n=8.$

$($e$)$ Compute the flexural stresses. Compressive stress of concrete at the top of the beam and tensile stress at the centroid of the steel bars.

Nominal Strength Analysis $($Ultimate Strength Stage$)$

Problem $3)$ Problem $2\mathrm{.}29($page $58,$ McCormac and Brown, $8^{th}$ Ed$.)$

Note: Change the f$\text{'}$c from $4$ ksi to $4\mathrm{.}5$ ksi

Hint: find the centroid of the steel bars.

$\frac{1}{1}$