Thursday 24 September 2020

MCQ (objective type) Questions on Design of Steel Structures (Module-IV Compression Members) एमसीक्यू (वस्तुनिष्ठ प्रकार) स्टील स्ट्रक्चर्सच्या डिझाइनवर प्रश्न (मॉड्यूल -4 कॉम्प्रेशन मेम्बर)

Subject :- Design of Steel Structures / DOS-I(Steel)LSM / SE-I (Steel)

Unit-IV :- COMPRESSION MEMBERS

1. What is compression member?
a) structural member subjected to torsion
b) structural member subjected to tensile force
c) structural member subjected to compressive force
d) structural member subjected to bending moment

Answer: c
Explanation: Structural member which is subjected to compressive forces along its axis is called compression member. Compression members are subjected to loads that tend to decrease their lengths.

2. For very short compression member________
a) failure stress will be twice the yield stress
b) failure stress will be greater than yield stress
c) failure stress will be less than yield stress
d) failure stress will equal yield stress

Answer: d
Explanation: For very short compression members, the failure stress will the equal yield stress and no buckling will occur.

3. The length of member should be _________ for a short column
a) L ≤ 88.5r
b) L ≥ 88.5r
c) L ≥ 180r
d) L > 150r

Answer: a
Explanation: For a member to be classified as short column, length of member should be L ≤ 88.5r , where r is radius of gyration. The slenderness ratio of column defines the column as short or long column.

4. Long compression members will ______
a) buckle inelastically
b) buckle plastically
c) buckle elastically
d) not buckle

Answer: c
Explanation: Long compression members will buckle elastically where axial buckling stress remains below proportional limit.

5. Which of the following is not a parameter for decrease in strength of slender member?
a) seismic load
b) variation of material properties
c) initial lack of straightness
d) residual stress

Answer: a
Explanation: The decrease in strength of slender member is due to following parameter: imperfections- initial lack of straightness, accidental eccentricities of loading, residual stress, and variation of material properties over the cross section.

6. ________________ is the property of compression member?
a) elements of member need not prevent local buckling
b) member must be sufficiently rigid to prevent general buckling
c) member must not be sufficiently rigid to prevent local buckling
d) elements of member should be thin to prevent local buckling

Answer: b
Explanation: Member must be sufficiently rigid to prevent general buckling in any possible direction, and each element of member must be thick enough to prevent local buckling.

7. How can moment of inertia be increased?
a) by spreading material of section at its axis
b) by increasing load
c) by spreading material of section towards its axis
d) by spreading material of section away from its axis

Answer: d
Explanation: Most important property of section in compression member is radius of gyration and thus moment of inertia. it can be increased by spreading material of section away from its axis.

8. ____________ is an ideal section for compression member?
a) one made up of costly material
b) one having same moment of inertia about any axis through its centre of gravity
c) one having larger length
d) one having different moment of inertia about any axis through its centre of gravity

Answer: b
Explanation: Ideal section is the one which has same moment of inertia about any axis through its centre of gravity.

9. Rods and bars are recommended when length is ___________
a) greater than 3m
b) greater than 4m
c) greater than 5m
d) less than 3m

Answer: d
Explanation: Rods and bars withstand very little compression when length is more. Hence these are recommended for lengths less than 3m only.

10. Which of the following is true about tubular section?
a) tubes do not have torsional resistance
b) tubes have same radius of gyration in all direction
c) weight of tubular section is more than the weight required for open profile sections
d) tubes have low buckling strength

Answer: b
Explanation: Tubes have same radius of gyration in all direction. They have high buckling strength and have excellent torsional resistance. Weight of tubular section is less than one half the weight required for open profile sections.

11. Which of the following statement is true?
a) single angle sections are suitable for long lengths
b) unequal angles are desirable over equal angles
c) least radius of gyration of equal angle is less than that of unequal angle for same area of steel
d) least radius of gyration of single angle section is small compared to channel and I-sections

Answer: d
Explanation: Equal angle are desirable and economical over unequal angles because least radius of gyration of equal angle is greater than that of unequal angle for same area of steel. Single angle sections are not suitable for long lengths. Least radius of gyration of single angle section is small compared to channel and I-sections.

12. Effective length of compression member is ________
a) distance between end point and centroid of member
b) distance between points of contraflexure
c) distance between ends of members
d) distance between end point and midpoint of member

Answer: d
Explanation: Effective length of compression member is distance between points of contraflexure. It should be derived from actual length and end conditions.

13. Magnitude of effective length depends upon
a) load applied on member
b) material of member
c) rotational restraint supplied at end of compression member
d) location where member is used

Answer: c
Explanation: Magnitude of effective length depends upon rotational restraint supplied at end of compression member and upon resistance to lateral movement provided.

14. Which of the following is true regarding compression member?
a) greater the effective length, greater the load carrying capacity
b) smaller the effective length, smaller the danger of lateral buckling
c) smaller the effective length, smaller the load carrying capacity
d) smaller the effective length, more the danger of lateral buckling

Answer: b
Explanation: Smaller the effective length of particular compression member, smaller is the danger of lateral buckling and greater is the load carrying capacity.

15. What is the effective length when both ends of compression member are fixed?
a) 0.65L
b) 0.8L
c) 1.2L
d) 2.0L

Answer: a
Explanation: The effective length of compression member when both ends of compression member are fixed is 0.65L (i.e. L/√2), where L is the length of the member.

16. What is the effective length when both ends of compression member are hinged?
a) 0.65L
b) 0.80L
c) 1.0L
d) 2.0L

Answer: c
Explanation: The effective length of compression member when both ends of compression member are hinged is L, where L is the length of the member.

17. What is the effective length when one end of compression member is fixed and other end is free?
a) 0.65L
b) 2.0L
c) 0.8L
d) L

Answer: b
Explanation: The effective length of compression member when one end is fixed and other end is free is 2L, where L is the length of the member.

18. What is the effective length when one end of compression member is fixed and other end is hinged?
a) 0.8L
b) 0.65L
c) 2L
d) L

Answer: a
Explanation: The effective length of compression member when one end is fixed and other end is hinged is 0.8L, where L is the length of the member.

19. Slenderness ratio of compression member is __________________
a) product of radius of gyration and effective length
b) ratio of effective length to radius of gyration
c) ratio of radius of gyration to effective length
d) difference of radius of gyration and effective length

Answer: b
Explanation: The tendency of member to buckle is usually measured by its slenderness ratio. Slenderness ratio of member is ratio of effective length to appropriate radius of gyration (λ = kL/r). This is valid only when column has equal unbraced heights for both axes and end condition is same for particular section.

20. Minimum slenderness ratio (Maximum radius of gyration) can be obtained by
a) by increasing load
b) by spreading material of section at its axis
c) by spreading material of section away from its axis
d) by spreading material of section towards its axis

Answer: c
Explanation: Maximum radius of gyration is obtained when material of section is farthest from centroid i.e. away from its axis.

21. What is the relation between critical stress and slenderness ratio?
a) critical stress is cube of slenderness ratio
b) critical stress is directly proportional to slenderness ratio
c) critical stress is inversely proportional to slenderness ratio
d) critical stress is square of slenderness ratio

Answer: c
Explanation: fcr = Pcr/Ag = π2E/λ2, critical stress is inversely proportional to slenderness ratio of column and very large values can be obtained by using L/r → 0.

22. Why built up section are used?
a) for resisting bending moment
b) to sustain seismic loads only
c) for aesthetic appearance
d) used when rolled section do not furnish required sectional area

Answer: d
Explanation: Size and shape of rolled sections are limited because of limitation of rolling mills. When rolled section do not furnish required sectional area or when special shape or large radius of gyration is required in two different direction, a built up section is used.

23. Which of the following is correct?
a) single laced system on opposite of main component shall be in opposite direction view from either side
b) lacings and battens should not be provided on opposite sides of same member
c) lacing system should not be uniform throughout length of column
d) single and double laced systems should be provided on opposite sides of same member

Answer: b
Explanation: Lacing system should be uniform throughout length of column. Single and double laced systems should not be provided on opposite sides of same member. Lacings and battens should not be provided on opposite sides of same member. Single laced system can be in same direction view from either side on opposite of main component so that one is shadow of other.

24. Lacing shall be designed to resist a total transverse shear equal to ____ of axial force in member
a) 4.3%
b) 5.2%
c) 1.5%
d) 2.5%

Answer: d
Explanation: Lacing can be designed to resist a total transverse shear at any point in the member equal to 2.5% of axial force in member. This shear shall be divided among lacing systems in parallel planes. Lacings should also be designed to resist any shear due to bending moment or lateral load on member.

25. Slenderness ratio of lacing is limited to
a) 200
b) 145
c) 400
d) 350

Answer: b
Explanation: Slenderness ratio is the ratio of effective length by radius of gyration. Slenderness ratio of lacing shall not exceed 145.

26. Which of the following is true about effective length?
a) effective length shall be taken as length between inner end bolts/rivets of bars for double lacings
b) for welded bars, effective length shall be taken as 0.9 times distance between inner end welds connecting single bars to members
c) effective length shall be taken as 1.5 times length between inner end bolts/rivets of bars for double lacings
d) effective length shall be taken as length between inner end bolts/rivets of bars for single lacings

Answer: d
Explanation: Effective length shall be taken as length between inner end bolts/rivets of bars for single lacings and 0.7 times length between inner end bolts/rivets of bars for double lacings. For welded bars, effective length shall be taken as 0.7 times distance between inner end welds connecting single bars to members.

27. Minimum width of lacing bars shall _______
a) be less than 2 times diameter of connecting bolt/rivet
b) not be less than 3 times diameter of connecting bolt/rivet
c) be less than 3 times diameter of connecting bolt/rivet
d) be less than 5 times diameter of connecting bolt/rivet

Answer: b
Explanation: Minimum width of lacing bars shall not be less than approximately 3 times the diameter of connecting bolt/rivet.

28. Thickness of lacing member should be
a) less than 1/60thof the effective length for double lacing
b) less than 1/40th of the effective length for single lacing
c) less than 1/60th of the effective length for single lacing
d) not less than 1/60th of the effective length for double lacing

Answer: d
Explanation: Thickness of lacing member should not be less than 1/40th of the effective length for single lacing and not less than 1/60th of the effective length for double lacing.

29. Which of the following condition should be satisfied for spacing of lacings?
a) maximum slenderness ratio of component of main members between two consecutive lacing connection should not be more than 0.9 x most unfavourable slenderness ratio of combined column
b) maximum slenderness ratio of component of main members between two consecutive lacing connection should be greater than 50
c) maximum slenderness ratio of component of main members between two consecutive lacing connection should be not greater than 50
d) maximum slenderness ratio of component of main members between two consecutive lacing connection should be more than 0.7 x most unfavourable slenderness ratio of combined column

Answer: c
Explanation: The spacing of lacing bars should be such that maximum slenderness ratio of component of main members between two consecutive lacing connection is not greater than 50. It should not be greater than 0.7 times most unfavourable slenderness ratio of combined column.

30. Lacing bars shall be inclined at an angle of ___ to axis of built up member.
a) 25o
b) 35o
c) 50o
d) 90o

Answer: c
Explanation: Lacing bars shall be inclined at an angle of 40o to 70o to axis of built up member.

31. Minimum radius of gyration for lacing flats is
a) t/√12
b) t/24
c) t/12
d) t/√24

Answer: a
Explanation: Minimum radius of gyration for lacing flats is t/√12 , where t is thickness of flat.

 

32. Minimum number of bolts for connecting end of strut is
a) 0
b) 2
c) 1
d) 3

Answer: b
Explanation: Ends of strut should be connected with minimum of 2 bolts/rivets or equivalent length of weld length (length must not be less than maximum width of member).

33. Which of the following is true?
a) when leg of angles greater than 125mm wide or web of channel is mm wide, minimum bolt is sufficient for connection
b) when there is small spacing between the two sections placed back-to-back, washers and packing should not be provided
c) when there is small spacing between the two sections placed back-to-back, washers and packing should be provided
d) there should be additional connection in between along the length of member

Answer: c
Explanation: There should be minimum of two additional connection in between, spaced equidistant along the length of member. When there is small spacing between the two sections placed back-to-back, washers(in case of bolts) and packing(in case of welding) should be provided to make connection. When leg of angles greater than 125mm wide or web of channel is mm wide, minimum two bolts/rivets should be for connection.

34. Which of the following is not true?
a) spacing of tack bolt should be greater than 600mm
b) spacing of tack bolt should be less than 600mm
c) connection should extend at least 1.5 times the width of the member
d) if bolts are used, they should be spaced longitudinally at less than 4 times the bolt diameter

Answer: a
Explanation: Spacing of tack bolt should be less than 600mm. If bolts are used, they should be spaced longitudinally at less than 4 times the bolt diameter. Connection should extend at least 1.5 times the width of the member.

35. Members connected back-to-back connected by bolts should be
a) not be used
b) subjected to twice the transverse loading in plane perpendicular to bolted surface
c) subjected to transverse loading in plane perpendicular to bolted surface
d) not subjected to transverse loading in plane perpendicular to bolted surface

Answer: d
Explanation: Members connected back-to-back connected by bolts should not be subjected to transverse loading in plane perpendicular to riveted/bolted/welded surface.

36. Longitudinal spacing between intermittent welds used for connection should be
a) greater than 18t
b) not greater than 16t
c) greater than 16t
d) equal to 18t

Answer: b
Explanation: Longitudinal spacing between intermittent welds used for connection should not be greater than 16t, where t is thickness of thinner connection.

 

37. The strength of compression members subjected to axial compression is defined by curves corresponding to _______ classes
a) a, d
b) b, e, f
c) e, f, g
d) a, b, c and d

Answer: d
Explanation: The strength of compression members subjected to axial compression is defined by curves corresponding to a, b, c and d classes. The value of imperfection factor depends on type of buckling curve.

38. ___________of the following is not a compression member?
a) boom
b) strut
c) tie
d) rafter

Answer: c
Explanation: Strut, boom and rafter are compression members, whereas tie is a tension member.

39. The best compression member section generally used is_____________
a) channel section
b) single angle section
c) I-section
d) double angle section

Answer: c
Explanation: Generally, ISHB sections are used as compression members.

40. The best double-angle compression member section is_____________
a) unequal angles on same side of gusset plate
b) unequal angles with short leg connected
c) unequal angles with long leg connected
d) unequal angles on opposite side of gusset plate

Answer: b
Explanation: Unequal angles with short leg connected are preferred as compression member section.

41. The flange is classified as semi-compact if outstand element of compression flange of rolled section is less than
a) 8.4ε
b) 9.4ε
c) 10.5ε
d) 15.7ε

Answer: d
Explanation: The flange is classified as semi-compact if outstand element of compression flange of rolled section is less than 15.7ε and for a welded section, less than 13.6ε.

42. The flange is classified as plastic if outstand element of compression flange of rolled section is less than
a) 15.7ε
b) 9.4ε
c) 8.4ε
d) 10.5ε

Answer: b
Explanation: The flange is classified as plastic if outstand element of compression flange of rolled section is less than 9.4ε and for a welded section, less than 8.4ε.

43. The outstand element of compression flange of a rolled section is 10.2 (ε=1). The flange will be classified as
a) slender
b) compact
c) plastic
d) semi-compact

Answer: b
Explanation: The flange is classified as compact if outstand element of compression flange of rolled section is less than 10.5ε and for a welded section, less than 9.4ε.

44. The design compressive strength of member is given by
a) Ae /fcd
b) fcd
c) 0.5Aefcd
d) Aefcd

Answer: d
Explanation: The design compressive strength of member is given by Pd = Aefcd, where Ae is effective sectional area, fcd is design compressive stress.

45. The design compressive stress, fcd of column is given by
a) [fy / γm0] / [φ + (φ22)].
b) [fy / γm0] / [φ – (φ22)0.5].
c) [fy / γm0] / [φ + (φ22)0.5].
d) [fy / γm0] / [φ – (φ22)2].

Answer: c
Explanation: The design compressive stress, fcd of column is given by fcd = [fy / γm0] / [φ + (φ22)0.5], where fy is yield stress of material, φ is dependent on imperfection factor, λ is non dimensional effective slenderness ratio.

46. The value of imperfection factor for buckling class a is __________
a) 0.75
b) 0.5
c) 0.34
d) 0.21

Answer: d
Explanation: The value of imperfection factor, α for buckling class a is 0.21. The imperfection factor considers all the relevant defects in real structure when considering buckling, geometric imperfections, eccentricity of applied loads and residual stresses.

47. If imperfection factor α = 0.49, then as per IS:800-2007 the buckling class will be_______
a) a
b) c
c) b
d) g

Answer: b
Explanation: For buckling class c, the value of imperfection factor is 0.49. The imperfection factor takes into account all the relevant defects in real structure when considering buckling, geometric imperfections, eccentricity of applied loads and residual stresses.

48. The value of φ in the equation of design compressive strength is given by
a) φ = 0.5[1+α(λ-0.2)+λ2].
b) φ = 0.5[1-α(λ-0.2)+λ2].
c) φ = 0.5[1-α(λ-0.2)-+λ2].
d) φ = 0.5[1+α(λ+0.2)-λ2].

Answer: a
Explanation: The value of φ in the equation of design compressive strength is given by φ = 0.5[1+α(λ-0.2)+λ2], where α is imperfection factor(depends on buckling class) and λ is non-dimensional effective slenderness ratio.

49. Euler buckling stress fcc is given by____________
a) (π2E KL/r)2
b) (π2E)/(KL/r)
c) (π2E)/(KL/r)2
d) (π2E)/(KLr)2

Answer: c
Explanation: Euler buckling stress fcc is given by fcc = (π2E)/(KL/r)2, where E is modulus of elasticity of material and KL/r is effective slenderness ratio i.e. ratio of effective length, KL to appropriate radius of gyration, r.

50. What is the value of non dimensional slenderness ratio λ in the equation of design compressive strength?
a) (fy /fcc)
b) √(fy fcc)
c) (fy fcc)
d) √(fy /fcc)

Answer: d
Explanation: The value of non dimensional slenderness ratio λ in the equation of design compressive strength is given by λ = √(fy /fcc) , where fy is yield stress of material and fcc = (π2E)/(KL/r)2, where E is modulus of elasticity of material and KL/r is effective slenderness ratio i.e. ratio of effective length.

51. The design compressive strength in terms of stress reduction factor is given by
a) X / fy
b) Xfy / γm0
c) X /fy γm0
d) X γm0 /fy 

Answer: b
Explanation: The design compressive strength in terms of stress reduction factor is given by fcd = Xfy / γm0 , where X = stress reduction factor for different buckling class, slenderness ratio and yield stress = 1/ [φ + (φ22)0.5], fy is yield stress of material and γm0 is partial safety factor for material strength.

52. The value of design compressive strength is limited to
a) fy / γm0
b) fy
c) fy + γm0
d) fy γm0

Answer: a
Explanation: The value of design compressive strength is given by fcd = [fy / γm0] / [φ + (φ22)0.5] ≤ fy / γm0 i.e. fcd should be less than or equal to fy / γm0.

53. The compressive strength for ISMB 400 used as a column for length 5m with both ends hinged is
a) 382 kN
b) 275 kN
c) 375.4 kN
d) 453 kN

Answer: c
Explanation: K = 1 for both ends hinged, KL = 1×5000 = 5000, r = 28.2mm (from steel table), Ae = 7846 mm2(from steel table)
KL/r = 5000/28.2 = 177.3
h/bf = 400/140 = 2.82, t = 16mm Therefore, buckling class = b
From table in IS code, fcd = 47.85MPa
Pd = Ae fcd = 7846 x 47.85 = 375.43 kN

54. Compression member in a roof truss is called as __________

a) Stanchion

b) Post

c) Strut

d) Column

 

Answer: c

Explanation: A compression member in a roof truss is called strut and tension members are termed as tie member.

2 comments:

  1. Replies
    1. Refere Tension member for Unit I of ADE 22607 and Compression members mcqs for Unit II of ADE 22607.

      Delete

Assignment on Design of Steel Structures

  Module -I (Introduction & Connections) 1. Write down the advantages and disadvantages of Steel as Construction Material? 2. Which are ...