Question

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 braced column which is 300 mm

square is restrained such that it has an

effective height of 4.5 m. Classify the

column as short or slender.

(b) The column supports:

(1) an ultimate axial load of 500 kN

and a bending moment of

200 kNm, or

(2) an ultimate axial load of 800 kN

and bending moments of 75 kNm

about the x-axis and 50 kNm

about the y-axis.

Design the longitudinal steel for both

load cases by constructing suitable

design charts assuming fcu = 40 N/mm2,

fy = 500 N/mm2 and the covers to all

reinforcement is 35 mm.

3. An internal column in a multi-storey

building supporting an approximately

symmetrical arrangement of beams carries

an ultimate load of 2,000 kN. The storey

height is 5.2 m and the effective height

factor is 0.85, fcu = 35 N/mm2 and

fy = 500 N/mm2.

Assuming that the column is square,

short and braced, calculate:

1. a suitable cross-section for the column;

2. the area of the longitudinal

reinforcement;

3. the size and spacing of the links.

Sketch the reinforcement detail in cross-section.

Answer #1

2. (a) A braced column which is 300 mm
square is restrained such that it has an
effective height of 4.5 m. Classify the
column as short or slender.
(b) The column supports:
(1) an ultimate axial load of 500 kN
and a bending moment of
200 kNm, or
(2) an ultimate axial load of 800 kN
and bending moments of 75 kNm
about the x-axis and 50 kNm
about the y-axis.
Design the longitudinal steel for both
load cases...

Design a square axially loaded short square tied column for
concentric ultimate axial load Pu = 2600 kN. f’c = 28 MPa and fy =
350 MPa. assume ρ = 0.02.
Draw the section details showing dimensions, cover, rebars,
stirrups (ties), ..etc.

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