WSD Method: show solution number $5$&$7$ only

Situation $2$: A triangular beam has a length of $12$ meters. It has an effective depth of $450$ mm and a base of $400$

mm $.$ The steel reinforcement is $3,500m{m}^2.$ A uniformly distributed load of $20k\frac{N}{m}$ is acting on

the beam. Use $n=9$ and a steel cover of $50$ mm $.$

Determine the maximum stress that the concrete experiences.

a$.,92\mathrm{.}52$MPa

c$.,98\mathrm{.}94$MPa

b$.,85\mathrm{.}12$MPa

d$.,82\mathrm{.}50$MPa

Determine the location of the neutral axis measured from the apex so that balance condition is achieved. Use

$f^{\text{'}}c=21$MPa and $fs=120$MPa.

a$.,177\mathrm{.}23mm$

c$.,133\mathrm{.}08mm$

b$.,186\mathrm{.}65mm$

d$.,161\mathrm{.}57mm$

Determine the balanced moment capacity.

a$.,144\mathrm{.}72kN.m$

c$.,110\mathrm{.}05kN.m$

b$.,138\mathrm{.}55kN.m$

d$.,114\mathrm{.}70kN.m$