According to Euler's column theory, the crippling load for a column of length (l) with one end fixed and the other end free is

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• When both ends of a column are fixed, the crippling load is P. If one end of the column is made free, the value of crippling load will be changed to
• The equivalent length, of a given column with given end conditions, is the length of an equivalent column of the same material and cross-section with hinged ends, and having the value of crippling load equal to that of the given column.
• According to Euler's column theory, the crippling load for a column of length (l) fixed at both ends is
• According to Euler's column theory, the crippling load of a column is given by P = ?2 EI / Cl2. In this equation, the value of C for a column with both ends hinged, is
• The value of equivalent length is taken to be half of the actual length of a column with one end fixed and the other end free.
• The shear force diagram for a cantilever beam of length l and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is a
• The bending moment diagram for a cantilever beam of length l and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is a parabolic curve.
• A cantilever beam of square section is subjected to a load W at the free end. If the length of the beam is doubled and load reduced to half, the deflection at the free end as compared to original deflection would be
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• Two cantilever beams are of equal length. One carries a uniformly distributed load and other carries same load but concentrated at the free end. The ratio of maximum deflection is