Question

Determine if the following column is long or short, and then determine the critical load on a steel column having a rectangular cross section, 12mm by 18mm and a length of 250 mm. It is fixed on both ends and made from a steel that has the following properties: E= 209 Gpa and sy = 290 Mpa.

Slenderness ratio = ___________ Cc = _______ Long or short column = ___________ Critical load = ____________________ Newtons

Answer #1

A
6-m long column is made of a steel girder W200x52 (see the section
properties in the last page). It is loaded concentrically through
the centroid of the section. Given that the steel has the elastic
modulus Est = 210 GPa and the yield stress Y = 340 MPa. Determine
the critical load (Euler Buckling Load, Pcr) where the support at
the column ends are fixed-free support

For a 8m long column whose cross sectional dimensions are 0.1m x
0.4m, determine the allowable load using a safety factor of 2.5.
The column is welded at both ends. Its yield stress is 250 MPa and
its modulus of elasticity is 210 GPa. using Euler Formula or J. B.
Johnson Formula.

3. Calculate the load carrying capacity and percentage
of reinforcement for a short rectangular column of
cross section dimension 280 mm x 500 mm is reinforced with 4 bars
of 25 mm diameter, 2 bars of 20
mm diameter and 2 bars of 12 mm diameter. Use M30 grade concrete
and Fe 500 grade steel. Also
design a 4 legged ties necessary for this section.

(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....

A column is to be used to support a critical vertical load of
6000 kN. The column is 6 m long and having pin at one end and fixed
at another end and restrained in weak axis. Modulus of Elasticity
(E) of structural steel is 200,000 MPa. Suggest Most suitable UC
from manufacture’s catalogue .
Unsupported length of column = 6m

A hollow circular steel column 2m long and outer diameter 200
mm carries an axial load of 325 kN. If the compressive stress is
150 MPa, lateral strain for external diameter is is 0.000325 and
Poisson’s ratio is 0.3, find the minimum wall thickness required
for the column. Also calculate the shear modulus for the material
of the column. Take E = 210 GPa.

Determine the nominal compressive strength Pn of a
short column which subjected to biaxial bending ex- 250 mm , ey-
150 mm h - 650 mm , b - 450 mm , reinforcement 8 28.ties 10 mm ,
cover - 40mm fc - 28 Mpa , fy 420 MPa
Determine the nominal compressive strength Pn of a
short column which subjected to biaxial bending ex- 250 mm , ey-
150 mm h - 650 mm , b - 450 mm...

CE Board May 2012
A 450 mm square interior column carries a dead load of 825 KN
and a live load of 668 KN. A rectangular footing is required to
carry the column loads such that the length of the long side must
be equal to twice the width of the short side. Assume base of
footing is 1.5 m below the ground surface. Allowable bearing
pressure of soil is 15.74 KN/m3 and that of concrete is 23.5 KN/m3.
Use...

Determine the nominal compressive strength Pn of a
short column which subjected to biaxial bending ex- 250 mm , ey-
150 mm h - 650 mm , b - 450 mm , reinforcement 8 28.ties 10 mm ,
cover - 40mm fc - 28 Mpa , fy 420 MPa

A simply supported beam is 3 m long. It carries a uniformly
distributed load of 6 kN/m throughout its span and a concentrated
load of 15 kN at a point 2 m from the left support. Assuming that
the beam has a rectangular shape whose width and depth are 150 mm
and 250 mm, respectively. Determine the maximum flexural stress in
MPa developed in the beam.

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