Determine the distance from the upper surface of the symmetric double-T beam cross section to the location of the centroid. 60 260 10 TT +10 Dimensions in millimeters 190 H Answer: H = i mm

4) A precast T beam with the dimensions shown below is to be a used as a bridge over a small roadway. The beam is used on a 30 ft simple span, and the total factored load including the beam's self-weight is 15.6 kips/ft. Assume d = 21" for your calculations. fc' = 6000 psi and fy = 60000 psi. a. Calculate the maximum mid-span moment - this is Mu b. Check the effective width of the beam as per ACI 318-19 Table 6.3.2.1 C. Check whether the T-Beam designed as a rectangular section would be able to provide the required Mu. If not, design the section as a T-Beam to calculate the required reinforcement. Try to keep close to 0.9 (it is okay if it's a little under). But calculate the correct value of . d. Sketch the section following the guidelines for bar arrangement.

Y Given: X x1 x2 . x1 = 15.35 mm • x2 = 16.74 mm . x3 = 16.10 mm .y1 = 19.32 mm y2 = 20.55 mm y3 = 16.37 mm mie x3 sterren T y3 y2 y1 Find x & y centroid

Find the centroid of the following cross-sections and planes.