12.
According to Euler's column theory, the crippling load for a column length $$l$$ hinged at both ends, is

13.
The shear force of a cantilever beam of length $$l$$ carrying a uniformly distributed load of w per unit length is _________ at the free end.

14.
The bending moment of a cantilever beam of length $$l$$ and carrying a uniformly distributed load of w per unit length is __________ at the free end.

15.
If percentage reduction in area of a certain specimen made of material 'A' under tensile test is 60% and the percentage reduction in area of a specimen with same dimensions made of material 'B' is 40%, then

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