(Solved): A beam extends over a span of 9 m and an overhang (cantilever) to the right of the right support of ...
A beam extends over a span of 9 m and an overhang (cantilever) to the right of the right support of 3.5 m (that is, the total length of the beam is 12.5 m .) The beam supports a service dead load of
20(t)/(m)that does not include self-weight, and a service live load of
7(t)/(m). Assume the connection between the beam and the support is a simple pin or roller. Prepare your work according to the following steps: Draw the shear
(Vu)and bending moment
(\Mu )diagrams for the beam, ignoring self-weight. Note that there will be a maximum positive and a maximum negative moment. Use the larger maximum moment to determine the required dimensions for a reinforcement ratio around 0.70 of the maximum. Select the dimensions such that the effective depth (dt) is approximately 1.2 times the width. Use multiples of 5 cm for h and b . Select the reinforcement required at two locations using these dimensions: for the maximum positive and the maximum negative moment. If self-weight is to be included, draw the shear and bending moment diagrams and repeat the beam design for the maximum moment. Again, determine the required dimensions for a reinforcement ratio around 0.70 of the maximum, and select the dimensions such that the effective depth is approximately 1.2 times the width. Use multiples of 5 cm for h and b . Then design the beam for the smaller moment. Repeat the design of the beam for the maximum moment only, including self-weight. This time use the dimensions obtained in step three, however, with
b=hof step three, and
h=bof step three. If the beam has
b=90cm,h=110cm, and is reinforced with
12\Phi 30bars at midspan and 12
\Phi 28bars above the right support, with
\Phi 10stirrups, determine the maximum distributed service live load the beam can support. The beam supports a service dead load of
9(t)/(m)that does not include self-weight. Prepare a short report to explain your work and calculations in sufficient detail. The soundness of your work, organization, and quality of your drawings will make up your final grade for this homework. Use
f^(')=28MPa, fy
=420MPa, and
\gamma _(concrete )=24k(N)/(m^(3)). I need the solution not only the way to solve it
