EA$501$ STRUCTURES $3$

Building & Construction Sciences Department

Problem Set #$4$

Reinforced Concrete Beams $-$ Design for Bending Moment

For all questions in this problem set:

Maximum aggregate size $=20mm$

$f_y=400$MPa

interior exposure

shear steel in all cases $=$#$10$ bar

You should check bar spacing details but ignore crack control

Note in my solutions I used the bar # as the bar diameter. Using the true bar diameters will change the answers slightly. Either way, I count it as the right answer.

Note that $f_c^{\text{'}}$ varies form question to question.

QUESTION #$1$

Given $f_c^{\text{'}}=30$MPa

a$)$ Determine the maximum factored bending moment capacity $M_r$ for the given beam.

b$)$ Check the bar details for spacing. Ignore crack control

c$)$ Calculate the maximum service live load that can be applied to the span.

d$)$ Calculate the maximum center to center spacing $($trib$.$ width$)$ for this beam if the unit service dead load is $5$KPa and the unit service live load is $20\mathrm{.}3$KPa.