Assignment $1$:

Reinforced concrete beams $-$ Flexure

For the beam whose cross section is shown in the figure the following data is given:

Continuous beam with $4$ equal spans with length $1=8\mathrm{.}0m$; distance from adjacent beams

$4\mathrm{.}5$ m $($on either side$)$

Beam loads $($distributed$)$: $g=35k\frac{N}{m},q=9k\frac{N}{m}$

Cross section dimensions: $h=650mm,b_w=300mm,h_f=130mm$

Cover to reinforcement $c=30mm($assume $10$ mm ties and $20$ mm longitudinal bars to

estimate d; you may select smaller bars later on$)$

Materials: C$25/30$ concrete and B$500$ steel $($consider ${}_{cc}=1\mathrm{.}0,$ as per Eurocode $2)$

Calculate the required longitudinal reinforcement at the spans and the supports of the beam.

Select appropriate longitudinal bars in each case and provide a sketch of the arrangement of the

reinforcement that you designed.

Notes:

In designing the reinforcement, note the symmetry of the beam.

Use the provided tables for the design of R$/$C sections with rectangular compression zone

For the T$-$beam section use also the provided tables for T$-$beams and compare with above