FLEXURAL ANALYSIS OF BEAMS

Problem Solving. Show all your calculations. No credit will be given unless complete calculations are shown. Write the answer on the space provided after each question. Submit clear and readable copy of your solutions.

SITUATION $1(40\%)$

Assuming the concrete is uncracked, compute the following: The normal weight concrete has an $f_c^{\text{'}}=24$ MPa and $M=75KN.m.$

Moment of inertia of the section in $m{m}^4.$ Ans.

Bending stresses in the extreme fiber in tension in MPa. Ans. $q,$

Bending stresses in the extreme fiber in compression in MPa. Ans. $q,$

Cracking moment of the section in KN$.$m$.$ Ans.

Situation $3(25\%)$

Assuming the beam section in Situation $1$ is cracked$-$ultimate and $f_y=420$MPa and $f_c^{\text{'}}=21$MPa, determine the following:

$9.$ Depth of the compression stress block $"$a$"$ in mm$.$ Ans.

$10.$ Nominal moment strength of the beam section in KN$.$m$.$ Ans.