A rectangular beam made using concrete with f. = 6000 psi and steel with f, = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f, = 530 psi. The elastic moduli of the concrete and steel are, respectively, E. = 4,030,000 psi and E, = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. (a) Find the maximum service load moment that can be resisted without stressing the concrete above 0.45f, or the steel above 0.40f. (b) Determine whether the beam will crack before reaching the service load. (c) Compute the nominal flexural strength of the beam. (d) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.
A rectangular beam made using concrete with f. = 6000 psi and steel with f, = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f, = 530 psi. The elastic moduli of the concrete and steel are, respectively, E. = 4,030,000 psi and E, = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. (a) Find the maximum service load moment that can be resisted without stressing the concrete above 0.45f, or the steel above 0.40f. (b) Determine whether the beam will crack before reaching the service load. (c) Compute the nominal flexural strength of the beam. (d) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A rectangular beam made using concrete with f. = 6000 psi and steel with
f, = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and
a total depth of h = 20 in. The concrete modulus of rupture f, = 530 psi. The
elastic moduli of the concrete and steel are, respectively, E. = 4,030,000 psi
and E, = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36)
bars.
(a) Find the maximum service load moment that can be resisted without
stressing the concrete above 0.45f, or the steel above 0.40f.
(b) Determine whether the beam will crack before reaching the service load.
(c) Compute the nominal flexural strength of the beam.
(d) Compute the ratio of the nominal flexural strength of the beam to the
maximum service load moment, and compare your findings to the ACI
load factors and strength reduction factor.
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