Test 31 - Compound Columns, Lacing and Battens

Question 1 ప్రశ్న 1

Which statement correctly describes the purpose of lacing or battening in a built-up steel compression member?

A It connects the individual longitudinal components so that they act together as a built-up compression member and transfers the required transverse interaction forces B It is provided only to increase the yield stress of the steel C It eliminates the need to check overall column buckling D It converts every compression member into a tension member

Question 2 ప్రశ్న 2

Why are two channels or similar components in a built-up column often spaced apart rather than placed immediately adjacent to one another?

A To decrease the total cross-sectional area B To increase the relevant radius of gyration and thereby improve buckling resistance about the otherwise weak axis C To reduce Young's modulus of the member D To ensure that each component buckles independently

Question 3 ప్రశ్న 3

A built-up column consists of two identical channel components. Each has area 4000 mm^2 and centroidal moment of inertia Iy = 8 × 10^6 mm^4 about the relevant axis, and each component centroid is 100 mm from the built-up section centroidal axis. What are the total Iy and radius of gyration ry of the built-up section?

A Iy = 16 × 10^6 mm^4 and ry = 44.7 mm B Iy = 80 × 10^6 mm^4 and ry = 100.0 mm C Iy = 96 × 10^6 mm^4 and ry = approximately 109.5 mm D Iy = 176 × 10^6 mm^4 and ry = approximately 148.3 mm

Question 4 ప్రశ్న 4

The built-up column in the previous question has effective length KL = 6000 mm about the axis for which r = 109.5 mm. What is its actual slenderness ratio about that axis before applying any lacing or battening allowance?

A Approximately 54.8 B Approximately 65.8 C Approximately 109.5 D Approximately 164.4

Question 5 ప్రశ్న 5

If the maximum actual slenderness ratio of a laced built-up column is 54.8, what effective slenderness ratio should be used according to IS 800:2007?

A 52.1 B 54.8 C Approximately 57.5 D Approximately 60.3

Question 6 ప్రశ్న 6

If the same maximum actual slenderness ratio of 54.8 applies to a battened column, what effective slenderness ratio is prescribed by IS 800:2007?

A 54.8 B 57.5 C Approximately 60.3 D Approximately 65.8

Question 7 ప్రశ్న 7

A built-up compression member has effective sectional area Ae = 8000 mm^2. After applying the appropriate built-up-member slenderness provisions, its governing design compressive stress is fcd = 170 MPa. What is its design axial compressive strength?

A 850 kN B 1088 kN C 1360 kN D 1700 kN

Question 8 ప్రశ్న 8

Within what range should lacing bars normally be inclined to the longitudinal axis of a built-up compression member according to IS 800:2007?

A 10 degrees to 30 degrees B 20 degrees to 45 degrees C 30 degrees to 60 degrees D 40 degrees to 70 degrees

Question 9 ప్రశ్న 9

A concentrically loaded laced column carries a factored axial compressive force of 1600 kN. Ignoring any additional transverse shear arising from bending, what minimum total transverse shear Vt must the lacing system be designed to resist?

A 16 kN B 24 kN C 40 kN D 80 kN

Question 10 ప్రశ్న 10

The 1600 kN column in the previous question has two identical transverse lacing systems in parallel planes. What transverse shear is assigned to each lacing plane?

A 10 kN B 20 kN C 40 kN D 80 kN

Question 11 ప్రశ్న 11

In one plane of a single-laced system, a diagonal lacing bar at 50 degrees to the column axis is required to transmit a transverse shear of 20 kN. Assuming this single diagonal carries the panel shear, what axial force develops in the bar?

A 15.3 kN B 20.0 kN C Approximately 26.1 kN D Approximately 40.0 kN

Question 12 ప్రశ్న 12

A laced compression member requires the normal code transverse shear of 40 kN from the 2.5 percent rule, and analysis shows an additional actual shear of 12 kN due to bending. For what transverse shear should the lacing be proportioned?

A 28 kN B 40 kN C 52 kN D 480 kN

Question 13 ప్రశ్న 13

The most unfavourable actual slenderness ratio of a laced built-up column as a whole is 70. According to the IS 800 spacing rule, what maximum slenderness ratio is permitted for an individual main component between consecutive lacing connections?

A 35 B 49 C 50 D 70

Question 14 ప్రశ్న 14

For the laced column in the previous question, the minimum radius of gyration of one individual component is 25 mm. If its allowable slenderness between lacing points is 49, what is the maximum unsupported length between consecutive lacing connections?

A 625 mm B 1000 mm C 1225 mm D 1750 mm

Question 15 ప్రశ్న 15

What maximum slenderness ratio is permitted for a lacing bar under the IS 800:2007 laced-column provisions?

A 100 B 120 C 145 D 180

Question 16 ప్రశ్న 16

A flat bar is used as a single lacing bar and has an effective length of 800 mm. What minimum thickness follows from the IS 800 requirement for flat single lacing?

A 10 mm B 13.3 mm C 20 mm D 40 mm

Question 17 ప్రశ్న 17

A flat lacing bar in a double-lacing system has an effective length of 840 mm. What minimum thickness is required by the IS 800 flat-bar detailing rule?

A 10 mm B 14 mm C 21 mm D 28 mm

Question 18 ప్రశ్న 18

A bolted lacing bar is connected using a 20 mm nominal diameter bolt at its end. What minimum lacing-bar width is required by the IS 800 rule for bolted or riveted construction?

A 40 mm B 50 mm C 60 mm D 80 mm

Question 19 ప్రశ్న 19

In bolted double lacing, the distance between the inner end fasteners of a diagonal bar is 1000 mm and the crossing lacing bars are effectively connected at their intersection. What effective length is used for the lacing-bar compression check?

A 500 mm B 700 mm C 1000 mm D 1400 mm

Question 20 ప్రశ్న 20

Where are tie plates specifically required in a laced compression member according to IS 800:2007?

A Only at the midpoint of every lacing bar B At the ends of lacing systems, at intersections with other members or stays, and at points where the lacing system is interrupted C Only where the axial force becomes zero D Tie plates are prohibited in laced columns

Question 21 ప్రశ్న 21

Which statement correctly states the IS 800 spacing requirements for an ordinary battened compression member where the individual components are not specifically checked for the associated shear and bending?

A Only one bay is required and component slenderness between battens is unrestricted B The member should be divided into at least three bays, and component slenderness over the batten spacing must not exceed 50 or 0.7 times the slenderness of the complete member about its z-z axis parallel to the battens, whichever is smaller C Exactly two bays must always be used and component slenderness must equal 100 D Battens may be positioned randomly because their spacing does not influence built-up action

Question 22 ప్రశ్న 22

A battened column carries an axial force of 1600 kN. Take the required transverse shear Vt = 2.5 percent of the axial force, the longitudinal centre-to-centre batten spacing c = 600 mm, two parallel batten planes N = 2, and transverse connection spacing s = 300 mm. Using Vb = Vt c/(Ns) and M = Vt c/(2N), what shear and moment must be resisted at each batten connection?

A Vb = 20 kN and M = 3 kN·m B Vb = 40 kN and M = 6 kN·m C Vb = 60 kN and M = 12 kN·m D Vb = 80 kN and M = 24 kN·m

Question 23 ప్రశ్న 23

For a battened member, the basic transverse shear required by the 2.5 percent rule is 40 kN and analysis gives an additional actual shear of 15 kN from eccentric loading in the plane of the battens. What transverse shear demand must at least be included in designing the battens, while also recognizing that the overall eccentric battened member may require the more rigorous stability treatment specified by IS 800?

A 25 kN B 40 kN C 55 kN D 600 kN

Question 24 ప్రశ్న 24

Which statement correctly describes the minimum effective depth of plate battens in a built-up column?

A Every batten need only have a depth equal to one-half the distance between the main-component centroids B End battens and battens at stayed points require an effective depth at least equal to the perpendicular distance between the main-component centroids; intermediate battens require at least three-quarters of that distance; and the effective depth of any batten must in no case be less than twice the width of one main component in the plane of the battens C Only intermediate battens are subject to a minimum depth, while end battens are unrestricted D Only batten thickness is specified; effective depth is not controlled

Question 25 ప్రశ్న 25

In a battened column, the perpendicular distance between the centroids of the two main components is 400 mm, the width of one component in the plane of the battens is 120 mm, and the distance between the innermost connection lines is 300 mm. What are the minimum effective depth and minimum thickness of an intermediate plate batten?

A 240 mm depth and 4 mm thickness B 300 mm depth and 6 mm thickness C 400 mm depth and 8 mm thickness D 480 mm depth and 10 mm thickness

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