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CE 334 –
Week 14 Columns Homework Quiz
Name:________________
1. True or false: ACI only permits tension-controlled failure modes in columns.
False
2. What is the φ factor for a spiral column?
The strength of short columns is controlled by the strength of the material and the
geometry of the cross section. Reinforcing rebar is placed axially in the column to
provide additional axial stiffness. Accounting for the additional stiffness of the steel, the
nominal loading capacity Pn for the column in terms of the maximum compressive stress
of the concrete fc', the yield stress of the steel fy, the gross cross section area of the
column Ag, and the total cross section area of the steel rebar Ast
3. Name the 4 principles used to calculate the strength of a column.
Strut with pinned ends
One end fixed and the other free
Strut with fixed ends
One end fixed, the other pinned
4. How do the equilibrium equations for a column have to be adjusted compared to the
equilibrium equations for a beam?
In the equilibrium equations for a column, N is the axial force resulting acting in a tensile
manner (opposite in direction to the compressive resultant f). While equilibrium
equations for a beam, In order to maintain a segment of a beam in equilibrium, there
exists an internal vertical force V at the cut to satisfy the equation in the y-direction. This
internal force, which is vertical to the axis of the beam, is called the shearing force.
CE 334 –
Week 14 Columns Homework Quiz
Name:________________
5. In addition to axial load and the primary bending moments from the applied loads,
what other effect must long (slender) columns be designed for?
Slender and short are the two types of columns classified on the basis of slenderness
ratios as mentioned in sec.10.21.5 of Lesson 21. Columns having both lex/D and ley/b
less than twelve are designated as short and otherwise, they are sle...