The reinforced concrete column shown in the figure has a
rectangular cross section. The column

is subjected to a 100 kips axial compressive force at its top in
addition to uniform lateral load, w

along the top 8 ft of the column height. Unit weight of concrete is
150 pcf and the specified

concrete compressive strength, fc' is 4,000 psi.

Assume the column is subjected to the uniformly
distributed

load, w, in the top 8 ft of column length in both directions
simultaneously (i.e. column is subjected

to bi-axial bending). The lateral uniform loads are increased until
cracking occurs in the column. What is the value

of the uniform lateral load at which the column cracks? (Hint:
Axial compressive forces

increase the concrete stress at which cracking occurs. The cracking
stress is equal to

modulus of rupture in addition to concrete compressive stresses
resulting from axial loads).

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