CASE: A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips. Question1: Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam. Question2: Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than 45ft-kips as previously). Calculate the relevant properties and stresses. Question3: Determine the nominal moment Mn at which the beam of this case will fail. Question4: Have a comparison of the calculation results with those of three questions.
CASE:
A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.
Question1:
Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.
Question2:
Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than
45ft-kips as previously). Calculate the relevant properties and stresses.
Question3:
Determine the nominal moment Mn at which the beam of this case will fail. Question4:
Have a comparison of the calculation results with those of three questions.
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