Question

A reinforced concrete beam is constructed with Grade 30 concrete which has a cross section of 450 mm x 660 mm (b = 450 mm and D = 660 mm). The length of the beam is 5 m. The elastic modulus of the concrete is 32.8 GPa. A uniformly distributed live load of 23 kN/m is acting on the beam. Determine (a) the design bending moment on this beam for strength limit state, (b) modular ratio assuming Es = 200 GPa, (c) cracking bending moment and (d) required reinforcement (D495N steel) to have a balanced failure mode considering d = 550 mm.

Answer #1

Determine the largest allowable bending moment for a rectangular
reinforced concrete beam having the width b = 200 mm, total height
h = 375 mm and the distance from the bottom surface of the beam to
the centre line of steel bars = 75 mm. Use the total area of steel
As = 1360 mm2, modulus of elasticity of concrete = 30 GPa, modulus
of elasticity of steel = 210 GPa, allowable compressive stress for
concrete = 15 MPa and...

A reinforced concrete column, 5.0 m high has a cross section
of 400 mm x 400 mm. it is reinforced by four steel bars each 20 mm
in diameter and carries a load of 1000 kN. Young’s modulus for
steel is 200,000 N/mm2 and for concrete is 15,000 N/mm2. Determine
the deformation in mm?
please show solution

. A rectangular beam of size 300 * 600 mm is
reinforced with steel bars of area 1530 mm^2. Concrete of Grade
C-25 and steel of Grade 420 is to be used. Depth of neutral axis
(y-dash) is found to be 312 mm.
Find the stress at the bottom of the section, if
applied bending moment is 45 KN-m.

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....

(30 pts) A short reinforced concrete column is
subjected to a 1000 kN axial compressive load. The moduli of
elasticity of plain concrete and steel are 25 GPa and 207 GPa,
respectively, and the cross-sectional area of steel is 2% of that
of the reinforced concrete. Considering the column as a structural
member made of a composite material and subjected to load parallel
to the steel rebars, calculate the following:
a. the modulus of elasticity
of the reinforced concrete
b....

The beam is subjected to a uniformly distributed load
w= 12 kN/m. The beam is a two-span continuous beam. The
length of each span is L = 2 m. The beam is made of steel.
Young's modulus (E) of steel is 200 GPa. The value of the moment of
inertia is 21 * 106 mm4. Use the force method
given in Week 6. Determine the reaction at the middle support
B.
Select one:
a. 6.00 kN
b. 18.00 kN
c....

A rectangular beam having b=300 mm and d=575 mm, spans 5.5 m
face to face of simple
supports. It is reinforced for flexure with 4φ32 bars that continue
uninterrupted to the ends of
the span. It is to carry a service dead load wD=30 kN/m (including
self-weight) and a service live
load =45 kN/m both uniformly distributed along the span. Design the
shear reinforcement using
φ10 vertical U stirrups. Use the equation (a) for Vc. Material
strengths are fc’=22 and...

1. (a) Explain the difference between
columns which are short and slender
and those which are braced and
unbraced.
(b) Calculate the ultimate axial load
capacity of a short-braced column
supporting an approximately
symmetrical arrangement of beams
assuming that it is 500 mm square
and is reinforced with eight
20 mm diameter bars. Assume that
fcu = 40 N/mm2, fy = 500 N/mm2 and
the concrete cover is 25 mm. Design
the shear reinforcement for the
column.
2. (a) A...

a
rectangular beam having dimensions: b=300mm and d=550mm, spans 6m
face to face of simple supports. it is reinforced for flexure with
3D36mm bars that continue uninterrupted to the ends of the soan. it
is to carry a service dead load of 23.8 KN/m (including
self-weight) and a service lice load equal to 47.6 KN/m, both
uniformly distributed along the span. use fc’=27.6 Mpa and fy=414.7
Mpa. Normal weight concrete will be used and diameter of stirrup
are 10mm.
1.using...

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