PROBLEM NO. 1:
A precast T beam is to be used as a bridge over a small roadway. Concrete dimensions are b e = 48 in., bw
= 16 in., hf = 5 in., and h = 25 in. The effective depth d = 20 in. Concrete and steel strengths are 6000 psi
and 60,000 psi, respectively. Using approximately one-half the maximum tensile reinforcement permitted
by the ACI Code (rmax = 0.0273), determine the design moment capacity of the girder. If the beam is used
on a 30 ft simple span, and if in addition to its own weight it must support railings, curbs, and suspended
loads totaling 0.475 kip/ft, what uniform service live load limit should be posted? (USE SI UNIT)
PROBLEM NO. 2 :
A T beam has a concrete and steel strengths of 27.58 MPa and 413.7 MPa. The live load is 3830 Pa. while
the dead load in addition to concrete’s weight is to be 4790 Pa. The density of concrete is 2400 kg/m 3.
The slab is 100 mm thick while the effective depth is 600 mm, the total height of T-beam of 675 mm and
the bottom width of T beam is 375 mm. The length of the beam is 10 meters. The spacing of beams is 360
cm. If 3-25 mm bars will be used, is the design of T beam satisfactory? If not, determine the allowable
steel area to be used. Determine also the allowable dead and live load that a T beam can carry if it will fail
at 3-25mm bars assuming it has the same proportion as the previous loading.