Question

A simply supported reinforced concrete beam has a width (b) of 14 inches, and an effective depth (d) of 24 inches. It is reinforced with 3 # 8 bars. Assume 60-ksi steel and 3000-psi concrete. Determine the resisting moment (Mr) in ft-k that this beam can safely sustain.

Problem 2

The beam given in Problem 1 has a span of 21 ft. It is supposed to carry a uniformly distributed service dead load of 3.7 k/ft, in addition to its own weight, and a service live load of 4.2 k/ft over the entire span. The concrete unit weight is 150 lb/ft3.

1.What is the maximum factored moment (Mu max) for this beam?

2.Should this beam be considered safe in bending?

Answer #1

Complete solutionn is given below.

Problem 1
A simply supported reinforced concrete beam has a width (b) of
14 inches, and an effective depth (d) of 24 inches. It is
reinforced with 3 # 8 bars. Assume 60-ksi steel and 3000-psi
concrete. Determine the resisting moment (Mr) in ft-k that this
beam can safely sustain.

Problem 3
A reinforced concrete beam is cantilevered over a span of 10 ft.
The beam width is 14”. The beam is supposed to carry a uniformly
distributed service dead load of 1.2 k/ft and a uniformly
distributed service live load of 0.5 k/ft over its entire span. The
dead load includes an allowance for the beam weight. Assume 60- ksi
steel and 4,000-psi concrete.
1.Use the design equations to determine the minimum required
effective depth (d).
2.Select the tensile...

A simply supported rectangular concrete beam is 18 in. wide and
has an effective depth of 32 in. The beam supports a factored load
(wu) of 15 kips/ft. on a clear span of 22 ft. The given load
includes the weight of the beam. Use f'c = 4,000 psi. and fy =
60,000 psi.
Over what length of span are stirrups required?
Group of answer choices
8.35 ft.
9.18 ft.
10.26 ft.
Stirrups are not required for this beam.
None...

A simply supported rectangular concrete beam is 18 in. wide and
has an effective depth of 32 in. The beam supports a factored load
(wu) of 15 kips/ft. on a clear span of 22 ft. The given load
includes the weight of the beam. Use f'c = 4,000 psi. and fy =
60,000 psi.
What is the un-rounded stirrup spacing requirement at the
critical section?
Group of answer choices
3.23 in.
3.63 in.
4.04 in.
4.50 in.
None of the...

Design a simply supported one-way reinforced concrete floor slab
to span 12 ft and carry a service live load of 180 psf and a
service dead load of 20 psf. Use fc’=3000 psi and fy=60,000 psi.
Make the slab thickness to 1⁄2 inch increments. (Hint: Design the
slab according to the ACI Code minimum thickness)

While working with a concrete subcontractor, you were asked to
redesign a concrete beam to use No #8 reinforcing bars as the Sub
has excess amounts of it. To do so, you need to determine the
following: 1) The effective depth of the beam (d) 2) The total
depth of the beam (h) 3) The area of tensile reinforcing required
and then the number of #8 bars The service load bending moments on
the beam are 62 kip-ft for dead...

A rectangular RC beam is simply supported over a span of 8m and
carries a dead load of 15kN/m (including self-weight) and an
imposed load of 8kN/m. The beam is 250mm wide and has an effective
depth of 400mm. Grade 30 concrete is to be used.
Determine if the beam should be singly reinforced or
doubly reinforced.

A rectangular, tension-reinforced beam is to be designed for
dead load of 500 lb/ft plus
self-weight and service live load of 1200 lb/ft, with a 22 ft
simple span. Material strengths will be fy =
60 ksi and fc・= 3 ksi for steel and concrete, respectively. The
total beam depth must not exceed 16
in. Calculate the required beam width and tensile steel
requirement, using a reinforcement
ratio of 0.60 ρ0.005 . Use ACI load factors and strength reduction
factors....

Calculate the bending capacity of a simply supported concrete
beam.
Beam is 6m long and supporting dead load of 20KN/m and live load
of 10KN/m. Compressive strength of the concrete is 25MPa and yield
strength of rebars is 500MPa.
Concrete beam is 300mm height 200mm width.

A simply supported reinforced-concrete beam has to resist a
maximum factored moment of M* = 210 KN-m. Given that f’c = 32 MPa,
fy = 500 MPa and that the maximum possible width for the beam is
240 mm: a. Establish an appropriate structural depth ‘d’ for the
beam b. Determine the total depth ‘D’ of the beam for a FRL of 90
minutes c. Find the area of steel Ast required to resist the moment
and select the rebars....

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