A beam with rectangular cross section of b = 24 inch and h = 18 inch is to carry a total factored transverse (vertical) load of 1.6 kips/ft uniformly distributed over its 26 ft span. The beam will also be subjected to a uniformly distributed torsional moment of 1400 ft-lb/ft (maximum torsional moment on the beam is 1.4 x 26/2 = 18.2 kip-ft). Closed stirrup-ties will be used to resist diagonal shear and torsion. The corresponding flexural effective depth will be 15.5 inch. Design the transverse reinforcement for this beam and calculate the increase in longitudinal steel area needed to provide for torsion. Use f'c = 4,000 psi, and fy = 60 ksi for both longitudinal and transverse steel. Show neat sketches of your design (use AutoCAD) – show reinforcement details, dimensions and all other important details required for construction.
Develop an EXCEL spreadsheet to design beams with a rectangular section that are subjected to
shear and torsion. You may combine this with your spreadsheet that designs/analyzes beams for
moment strength per ACI 318. Verify your hand calculations of the torsional design beam problem
stated above using your spreadsheet.
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