Strength of material MCQ
Q. The slenderness ratio of the column is defined as the ratio of
(A) area of column to least radius of gyration
(B) length of column to least radius of gyration
(C) least radius of gyration to area of column
(D) moment of inertia to least radius of gyration
Q. Euler’s formula is applicable for which type of column?
(A) weak column
(B) long column
(C) short column
(D) strong column
Q. Rankine Gordon formula is applicable for which type of column?
(A) both long and short column
(B) long column
(C) short column
(D) very long column
Q. For long column the equivalent length for both end fixed is
(A) Le = L
(B) Le = L/√2
(C) Le = L/2
(D) Le = 2L
Q. Any member of a structure which is in compression may be called
(A) A column
(B) A truss
(C) A strut
(D) None of these
Q. According to Euler’s column theory, the crippling load for a column of length with both end fixed is
(A) \[P_{cr}\;=\frac{\pi^2EI}{l_e^2}\]
(B) \[P_{cr}\;=\frac{4\pi^2EI}{l_e^2}\]
(C) \[P_{cr}\;=\frac{2\pi^2EI}{l_e^2}\]
(D) \[P_{cr}\;=\frac{\pi^2EI}{4l_e^2}\]
Q. \(\frac{l_e}{k_{min}}\) is expression for which of the following term?
(A) Poisson’s ratio
(B) Slenderness ratio
(C) Eccentricity
(D) None of these
Q. The Euler load for a column is 1500 KN and crushing load is 1000KN .The Rankine load is equal to
(A) 500KN
(B) 2500KN
(C) 600KN
(D) 1250KN
Answer: C
Q. What is the ratio of the Euler’s load of a column having both ends fixed and both ends hinged?
(A) 4:1
(B) 16:1
(C) 1:4
(D) 2:1
Q. For which type of column the buckling load will be maximum?
(A) One end fixed and other end free
(B) Both end fixed
(C) Both end hinged
(D) One end hinged and other end free
Q. A column that fails due to direct crushing stress is called
(A) Short column
(B) long column
(C) weak column
(D) medium column
Q. The failure of column depends upon
(A) weight of column
(B) length of column
(C) slenderness ratio
(D) cross section of column
Q. A long column is most likely to fail by
(A) Crushing
(B) Tension
(C) Shearing
(D) Buckling
Q. Rankine formula (for column) takes into account which of the following
(A) The eccentricity of loading
(B) The effect of direct compressive stress
(C) The effect of slenderness ratio
(D) The initial curvature of the column
Q. For long column, the value of buckling load is ………crushing load.
(A) equal to
(B) less than
(C) more than
(D) None of these
Q. Compression member always tend to buckle in the direction of the
(A) Axis of load
(B) Perpendicular to the axis of load
(C) minimum cross section
(D) least radius of gyration
Q. The direct stress induced in a long column is ……….as compared to bending stress
(A) same
(B) more
(C) negligible
(D) less
Q. The columns whose slenderness ratio is less than 80 are known as
(A) short column
(B) long column
(C) weak column
(D) medium column
Q. The Rankine’s constant for a mild steel column with both ends hinged is
(A) 1/750
(B) 1/1600
(C) 1/7500
(D) 1/9000
Q. Euler’s formula holds good only for
(A) short column
(B) long column
(C) both short and long column
(D) weak column
Q. The assumptions made in Euler’s theory is that
(A) the failure of column occurs due to buckling
(B) the length of column is very large as compared to its cross sectional dimension
(C) the column material obeys Hooke’s law
(D) all of the above