Columns of given length, cross-section and material have different values of buckling loads for different end conditions. The strongest column is one whose

one end is fixed and the other end is hinged

both the ends are hinged or pin-jointed

one end is fixed and the other entirely free

A column with maximum equivalent length has

One end is fixed and the other end is hinged

One end fixed and the other end free

Euler's critical buckling load for a column fixed at one end and free at the other end is:

\(\frac{{4{\pi ^2}EI}}{{{L^2}}}\)

\(\frac{{{\pi ^2}EI}}{{{L^2}}}\)

\(\frac{{{\pi ^2}EI}}{{2{L^2}}}\)

\(\frac{{{\pi ^2}EI}}{{4{L^2}}}\)

\(\frac{{4{\pi ^2}EI}}{{{L^2}}}\)

In beam-columns or eccentric loaded columns, an elastic critical stress in compression fcc isWhere: E = Modulus of elasticity of steelλ = Slenderness ratio in the plane of bending

\(\frac{{\pi E}}{{{\lambda ^2}}}\)

\(\frac{{{\pi ^2}E}}{{{\lambda ^2}}}\)

\(\frac{{\pi E}}{{{\lambda ^2}}}\)

\(\frac{{{\pi ^2}E}}{\lambda }\)

Determine the ratio of the buckling strength of a solid steel column to that of a hollow column of the same material having the same area of cross section. The internal diameter of the hollow column is half of the external diameter. Both columns are of identical length and are pinned or hinged at the ends

\(\frac {P_s}{P_h} = \frac {4}{5}\)

\(\frac {P_s}{P_h} = \frac {2}{5}\)

\(\frac {P_s}{P_h} = \frac {3}{5}\)

\(\frac {P_s}{P_h} = \frac {4}{5}\)

In the short column, failure occurs by

Combination of bending and direct compression

Critical load for a column fixed at both the ends is Pcr. If top end of the column is allowed to rotate, then critical load of the column will be:

\(\frac{1}{4}{{\rm{P}}_{{\rm{cr}}}}\)

\(\frac{1}{2}{{\rm{P}}_{{\rm{cr}}}}\)

\(\frac{1}{4}{{\rm{P}}_{{\rm{cr}}}}\)

For a column with both ends hinged the effective length is given by

\({{L}_{e}}=\frac{L}{\sqrt{2}}\)

If the effective length of a column is twice the actual length, then the column is ________.

Fixed at one end and hinged at the other end

Fixed at one end and free at the other end

Fixed at one end and hinged at the other end

113 + Mcqs in Design Columns in Strength Materials Page 1 McqOptions

1.	Varignon’s theorem is called as _________
A.	Principle of Forces
B.	Principle of moments
C.	Principle of points
D.	Theory of couple
Answer» C. Principle of points

Discussion

2.	In ___________ system, air relief valves are not required.
A.	Gravity
B.	Intermittent
C.	Continuous
D.	Grid
Answer» D. Grid

Discussion

3.	A system in which water is supplied only for fixed few hours, such system is called ____
A.	Closed
B.	Intermittent
C.	Combined
D.	Lift
Answer» C. Combined

Discussion

4.	Which of the following reservoirs is also known as ___________
A.	Ground service reservoirs
B.	Elevated reservoirs
C.	Over head reservoirs
D.	Storey reservoirs
Answer» B. Elevated reservoirs

Discussion

5.	For longitudinal reinforcing bar, the nominal cover should not be less than ___________
A.	30 mm
B.	20 mm
C.	40 mm
D.	50 mm
Answer» D. 50 mm

Discussion

6.	The ends of ________ shall be properly anchored.
A.	Longitudinal reinforcement
B.	Transverse reinforcement
C.	Torsional reinforcement
D.	Shear reinforcement
Answer» C. Torsional reinforcement

Discussion

7.	The strength of the column with helical reinforcement shall be ____ times the strength of similar column with lateral ties.
A.	2
B.	1.05
C.	3
D.	1.5
Answer» C. 3

Discussion

8.	Eccentrically loaded columns have to be designed for combined axial and ________
A.	Shear force
B.	Bending moments
C.	Torsion
D.	Creep
Answer» C. Torsion

Discussion

9.	Euler’s formula holds good only for
A.	Short columns
B.	Long column
C.	Both short and long column
D.	Weak columns
Answer» C. Both short and long column

Discussion

10.	Consider the following statements:The design depth of the footing for an isolated column is governed by1. Maximum bending moment2. Maximum shear force3. punching shearWhich of the above statement are correct?
A.	1 and 2 only
B.	1 and 3 only
C.	1, 2 and 3
D.	2 and 3 only
Answer» D. 2 and 3 only

Discussion

11.	Columns of given length, cross-section and material have different values of buckling loads for different end conditions. The strongest column is one whose
A.	one end is fixed and the other end is hinged
B.	both the ends are hinged or pin-jointed
C.	one end is fixed and the other entirely free
D.	both the ends are fixed
Answer» E.

Discussion

12.	A 40 cm diameter circular timber column is 4 m long. The slenderness ratio of the column is
A.	4
B.	10
C.	20
D.	40
Answer» E.

Discussion

13.	An RC column is reported as long column if the ratio of its effective length and least lateral dimension exceeds
A.	10
B.	12
C.	15
D.	20
Answer» C. 15

Discussion

14.	Consider following for a short column:(i) fails primarily due to crushing(ii) Ultimate load capacity depends upon its length(iii) Yield stress governs crushing strengthWhich one of the following is correct answer?
A.	i only
B.	I and II only
C.	i and iii only
D.	ii and iii only
Answer» D. ii and iii only

Discussion

15.	A circular column is subjected to an un-factored load of 1600 kN. The effective length of the column is 3.5 m, the concrete is M 25, and the value of \({\rho _g} = \frac{{{A_{SC}}}}{{{A_g}}} = 2\%\) for Fe 415 steel. The design diameter of the column will be nearly
A.	446 mm
B.	432 mm
C.	424 mm
D.	410 mm
Answer» B. 432 mm

Discussion

16.	If the slenderness ratio of a column is small, then the crippling stress will be:
A.	Low
B.	Zero
C.	High
D.	Constant
Answer» D. Constant

Discussion

17.	Radius of gyration of two rectangular columns is in a ratio of 3 : 1. What shall be the ratio of their depths?
A.	3 : 1
B.	1 : 3
C.	\(1\;:\sqrt 3\)
D.	\(\sqrt 3 \;:1\)
Answer» B. 1 : 3

Discussion

18.	A column with maximum equivalent length has
A.	Both ends hinged
B.	Both ends fixed
C.	One end is fixed and the other end is hinged
D.	One end fixed and the other end free
Answer» E.

Discussion

19.	If the axial load carrying capacity of a column with lateral ties is PT and for column with spiral reinforcement is PS then as per IS 456:2000, how much more does PS have strength over PT?
A.	1%
B.	2%
C.	3%
D.	5%
Answer» E.

Discussion

20.	In a column with elastic buckling, which Euler's formula will be for critical stress?
A.	(l / r) / πE
B.	π2E / (l / r)2
C.	π2E / (l / r)
D.	(l / r)2 / πE
Answer» C. π2E / (l / r)

Discussion

21.	Euler's critical buckling load for a column fixed at one end and free at the other end is:
A.	\(\frac{{{\pi ^2}EI}}{{{L^2}}}\)
B.	\(\frac{{{\pi ^2}EI}}{{2{L^2}}}\)
C.	\(\frac{{{\pi ^2}EI}}{{4{L^2}}}\)
D.	\(\frac{{4{\pi ^2}EI}}{{{L^2}}}\)
Answer» D. \(\frac{{4{\pi ^2}EI}}{{{L^2}}}\)

Discussion

22.	A column of height h with rectangular cross-section of a × 2a has a buckling load of P. If the cross-section is changed to 0.5a × 3a and height changed to 1.5h, the buckling load of the redesigned column will be
A.	\(\frac{P}{{12}}\)
B.	\(\frac{P}{{4}}\)
C.	\(\frac{P}{{2}}\)
D.	\(\frac{3P}{{2}}\)
Answer» B. \(\frac{P}{{4}}\)

Discussion

23.	If, in any given plane, one end of the column is unrestrained, Its unsupported length ‘l’ shall not exceed ______. Where ‘b’ is width and ‘D’ is depth of cross-section in plane under consideration.
A.	\(\frac{{100b}}{D}\)
B.	\(\frac{{100{b^2}}}{D}\)
C.	\(\frac{{100D}}{b}\)
D.	\(\frac{{100{D^2}}}{b}\)
Answer» C. \(\frac{{100D}}{b}\)

Discussion

24.	A column has a rectangular cross-section of 10 mm x 20 mm and effective length of 1 m. The slenderness ratio of the column is close to
A.	200
B.	346
C.	477
D.	1000
Answer» C. 477

Discussion

25.	An axially loaded column is of 300 mm × 300 mm size. The effective length of the column is 3 m. What is the minimum eccentricity of the axial load for the column?
A.	25 mm
B.	10 mm
C.	16 mm
D.	20 mm
Answer» E.

Discussion

26.	In beam-columns or eccentric loaded columns, an elastic critical stress in compression fcc isWhere: E = Modulus of elasticity of steelλ = Slenderness ratio in the plane of bending
A.	\(\frac{{\pi E}}{\lambda }\)
B.	\(\frac{{{\pi ^2}E}}{{{\lambda ^2}}}\)
C.	\(\frac{{\pi E}}{{{\lambda ^2}}}\)
D.	\(\frac{{{\pi ^2}E}}{\lambda }\)
Answer» C. \(\frac{{\pi E}}{{{\lambda ^2}}}\)

Discussion

27.	Determine the ratio of the buckling strength of a solid steel column to that of a hollow column of the same material having the same area of cross section. The internal diameter of the hollow column is half of the external diameter. Both columns are of identical length and are pinned or hinged at the ends
A.	\(\frac {P_s}{P_h} = \frac {2}{5}\)
B.	\(\frac {P_s}{P_h} = \frac {3}{5}\)
C.	\(\frac {P_s}{P_h} = \frac {4}{5}\)
D.	\(\frac {P_s}{P_h} = 1\)
Answer» C. \(\frac {P_s}{P_h} = \frac {4}{5}\)

Discussion

28.	Consider a circular member of diameter D subjected to a compressive load P for a condition of no tensile stress in the cross-section, the maximum radial distance of the load from the centre of the circle is
A.	D/6
B.	D/8
C.	D/12
D.	D/4
Answer» C. D/12

Discussion

29.	Buckling loads (Pi) of 4 columns of equal length and cross-section, but with different end conditions are shown below. Which of the following is TRUE?
A.	p1 < p2 < p3 < p4
B.	p3 < p1 < p4 < p2
C.	p1 < p4 < p2 < p3
D.	p3 < p4 < p1 < p2
Answer» C. p1 < p4 < p2 < p3

Discussion

30.	A structural member subjected to compression has both translation and rotation restrained at one end, while only translation is restrained at the other end. Effective length factor recommended for design is ____
A.	0.5
B.	0.65
C.	0.7
D.	0.8
Answer» E.

Discussion

31.	For the formwork design, IS 456-2000 suggested the deviation from specified dimensions of cross-section of columns and beams at ______.
A.	+ 12 mm, - 6 mm
B.	+ 50 mm, - 12 mm
C.	+ 25 mm, - 25 mm
D.	+12 mm, - 12 mm
Answer» B. + 50 mm, - 12 mm

Discussion

32.	A reinforced concrete column of size 400 mm × 400 mm is having the diameter of longitudinal bar as 20 mm. The pitch of lateral ties in such a case should be:
A.	320 mm
B.	400 mm
C.	300 mm
D.	250 mm
Answer» D. 250 mm

Discussion

33.	In the short column, failure occurs by
A.	Pure buckling
B.	Combination of bending and direct compression
C.	Direct compression only
D.	None of the above
Answer» D. None of the above

Discussion

34.	Critical load for a column fixed at both the ends is Pcr. If top end of the column is allowed to rotate, then critical load of the column will be:
A.	4Pcr
B.	2 Pcr
C.	\(\frac{1}{2}{{\rm{P}}_{{\rm{cr}}}}\)
D.	\(\frac{1}{4}{{\rm{P}}_{{\rm{cr}}}}\)
Answer» D. \(\frac{1}{4}{{\rm{P}}_{{\rm{cr}}}}\)

Discussion

35.	A certain R.C. short column with 300 mm square cross-section is made of M 20 grade concrete and has 4 numbers, 20 mm diameter, and longitudinal bars of Fe 415 grade steel. It is under the action of a concentric axial compressive load. Ignoring the reduction in the area of concrete due to the steel bars, the ultimate axial load carrying capacity of the column as by the relevant code is
A.	1069 kN
B.	1198 kN
C.	1548 kN
D.	1659 kN
Answer» B. 1198 kN

Discussion

36.	If the diameter of the column is reduced by 30%, then what will be the change in the Euler’s buckling load (in %)?
A.	25
B.	50
C.	75
D.	100
Answer» D. 100

Discussion

37.	Euler’s Bucking load on a column of length ‘I’ with both hinged, is given as(E = Young’s Modulus; I = Moment of Inertia of Column Cross-section)
A.	\(\frac{2\pi EI}{L^2}\)
B.	\(3\frac{\pi^2 EI}{L^2}\)
C.	\(\frac{\pi^2 EI}{L^2}\)
D.	\(\frac{2\pi^2 EI}{L^2}\)
Answer» D. \(\frac{2\pi^2 EI}{L^2}\)

Discussion

38.	As per IS 456 : 2000, a column is said to be a short column if ratio of effective length to corresponding lateral dimension is:
A.	more than 12
B.	less than 12
C.	more than 12 but less than 80
D.	less than or equal to 3
Answer» C. more than 12 but less than 80

Discussion

39.	For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends hinged to the case with both ends clamped is
A.	0.25
B.	4
C.	0.125
D.	0.5
Answer» B. 4

Discussion

40.	Cross sections which can develop their plastic moment resistance, but have inadequate plastic hinge rotation capacity because of local buckling, are called as:
A.	plastic sections
B.	compact sections
C.	semi-compact sections
D.	slender sections
E.	long sections
Answer» C. semi-compact sections

Discussion

41.	A column is said to be long only when the ratio of its effective length and lateral size is more than
A.	25
B.	10
C.	15
D.	20
Answer» D. 20

Discussion

42.	Critical stress for elastic buckling of an Euler column will be:
A.	π2 λ/E2
B.	π2 E/λ2
C.	πλ2 /E2
D.	πE2 /λ2
Answer» C. πλ2 /E2

Discussion

43.	As per IS 456:2000, minimum period before striking form work for vertical surface of the columns
A.	1 days
B.	7 days
C.	14 days
D.	28 days
Answer» B. 7 days

Discussion

44.	For a column with both ends hinged the effective length is given by
A.	\({{L}_{e}}=\frac{L}{2}\)
B.	\({{L}_{e}}=\frac{L}{\sqrt{2}}\)
C.	\({{L}_{e}}=2L\)
D.	\({{L}_{e}}=L\)
Answer» E.

Discussion

45.	For a circular column with diameter ‘d’ subjected to a compressive load ‘W’ at an eccentricity ‘e’, the diameter of core of section is:
A.	d/3
B.	d/4
C.	d/2
D.	d/5
Answer» C. d/2

Discussion

46.	If the effective length of a column is twice the actual length, then the column is ________.
A.	Fixed at one end and free at the other end
B.	Fixed at one end and hinged at the other end
C.	Hinged at both the ends
D.	Fixed at both the ends
Answer» B. Fixed at one end and hinged at the other end

Discussion

47.	A column of rectangular cross-section of 10 mm × 20 mm and a length of 2 m. what is the slenderness ratio of the column?
A.	480
B.	692
C.	550
D.	450
Answer» C. 550

Discussion

48.	An RCC column of 4 m length is rigidly connected to the slab and to the foundation. Its cross-section is (400 × 400) mm2. The column will behave as a/an
A.	Long column
B.	Short column
C.	Intermediate column
D.	Linkage
Answer» C. Intermediate column

Discussion

49.	An initially stress-free massless elastic beam of length L and circular cross-section with diameter d (d ≪ L) is held fixed between two walls as shown. The beam material has Young’s modulus E and coefficient of thermal expansion α. If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to
A.	d
B.	d2
C.	d3
D.	d4
Answer» C. d3

Discussion

50.	A certain high tensile strength steel has a modulus of elasticity of 2 × 106 kg/cm2 and a yield point stress of 6,000 kg/cm2. Find the minimum limiting value of the slenderness ratio for which Euler’s equation is valid.
A.	99
B.	80
C.	57
D.	75
Answer» D. 75

Discussion

Explore topic-wise MCQs in Strength Materials.

Varignon’s theorem is called as _________

In ___________ system, air relief valves are not required.

A system in which water is supplied only for fixed few hours, such system is called ____

Which of the following reservoirs is also known as ___________

For longitudinal reinforcing bar, the nominal cover should not be less than ___________

The ends of ________ shall be properly anchored.

The strength of the column with helical reinforcement shall be ____ times the strength of similar column with lateral ties.

Eccentrically loaded columns have to be designed for combined axial and ________

Euler’s formula holds good only for

Consider the following statements:The design depth of the footing for an isolated column is governed by1. Maximum bending moment2. Maximum shear force3. punching shearWhich of the above statement are correct?

Columns of given length, cross-section and material have different values of buckling loads for different end conditions. The strongest column is one whose

A 40 cm diameter circular timber column is 4 m long. The slenderness ratio of the column is

An RC column is reported as long column if the ratio of its effective length and least lateral dimension exceeds

Consider following for a short column:(i) fails primarily due to crushing(ii) Ultimate load capacity depends upon its length(iii) Yield stress governs crushing strengthWhich one of the following is correct answer?

A circular column is subjected to an un-factored load of 1600 kN. The effective length of the column is 3.5 m, the concrete is M 25, and the value of \({\rho _g} = \frac{{{A_{SC}}}}{{{A_g}}} = 2\%\) for Fe 415 steel. The design diameter of the column will be nearly

If the slenderness ratio of a column is small, then the crippling stress will be:

Radius of gyration of two rectangular columns is in a ratio of 3 : 1. What shall be the ratio of their depths?

A column with maximum equivalent length has

If the axial load carrying capacity of a column with lateral ties is PT and for column with spiral reinforcement is PS then as per IS 456:2000, how much more does PS have strength over PT?

In a column with elastic buckling, which Euler's formula will be for critical stress?

Euler's critical buckling load for a column fixed at one end and free at the other end is:

A column of height h with rectangular cross-section of a × 2a has a buckling load of P. If the cross-section is changed to 0.5a × 3a and height changed to 1.5h, the buckling load of the redesigned column will be

If, in any given plane, one end of the column is unrestrained, Its unsupported length ‘l’ shall not exceed ______. Where ‘b’ is width and ‘D’ is depth of cross-section in plane under consideration.

A column has a rectangular cross-section of 10 mm x 20 mm and effective length of 1 m. The slenderness ratio of the column is close to

An axially loaded column is of 300 mm × 300 mm size. The effective length of the column is 3 m. What is the minimum eccentricity of the axial load for the column?

In beam-columns or eccentric loaded columns, an elastic critical stress in compression fcc isWhere: E = Modulus of elasticity of steelλ = Slenderness ratio in the plane of bending

Consider a circular member of diameter D subjected to a compressive load P for a condition of no tensile stress in the cross-section, the maximum radial distance of the load from the centre of the circle is

Buckling loads (Pi) of 4 columns of equal length and cross-section, but with different end conditions are shown below. Which of the following is TRUE?

A structural member subjected to compression has both translation and rotation restrained at one end, while only translation is restrained at the other end. Effective length factor recommended for design is ____

For the formwork design, IS 456-2000 suggested the deviation from specified dimensions of cross-section of columns and beams at ______.

A reinforced concrete column of size 400 mm × 400 mm is having the diameter of longitudinal bar as 20 mm. The pitch of lateral ties in such a case should be:

In the short column, failure occurs by

Critical load for a column fixed at both the ends is Pcr. If top end of the column is allowed to rotate, then critical load of the column will be:

If the diameter of the column is reduced by 30%, then what will be the change in the Euler’s buckling load (in %)?

Euler’s Bucking load on a column of length ‘I’ with both hinged, is given as(E = Young’s Modulus; I = Moment of Inertia of Column Cross-section)

As per IS 456 : 2000, a column is said to be a short column if ratio of effective length to corresponding lateral dimension is:

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends hinged to the case with both ends clamped is

Cross sections which can develop their plastic moment resistance, but have inadequate plastic hinge rotation capacity because of local buckling, are called as:

A column is said to be long only when the ratio of its effective length and lateral size is more than

Critical stress for elastic buckling of an Euler column will be:

As per IS 456:2000, minimum period before striking form work for vertical surface of the columns

For a column with both ends hinged the effective length is given by

For a circular column with diameter ‘d’ subjected to a compressive load ‘W’ at an eccentricity ‘e’, the diameter of core of section is:

If the effective length of a column is twice the actual length, then the column is ________.

A column of rectangular cross-section of 10 mm × 20 mm and a length of 2 m. what is the slenderness ratio of the column?

An RCC column of 4 m length is rigidly connected to the slab and to the foundation. Its cross-section is (400 × 400) mm2. The column will behave as a/an

A certain high tensile strength steel has a modulus of elasticity of 2 × 106 kg/cm2 and a yield point stress of 6,000 kg/cm2. Find the minimum limiting value of the slenderness ratio for which Euler’s equation is valid.