Test 34 - Suspension Bridges and Cables

Question 1 ప్రశ్న 1

Which statement best describes an ideal perfectly flexible cable used in elementary structural analysis?

A It can resist axial tension and compression but no bending moment. B It resists axial tension only, and the tension at every point acts tangentially to the cable. C It resists bending moment and shear but no axial force. D It maintains a fixed geometry independent of the applied loading.

Question 2 ప్రశ్న 2

Which comparison among an ideal cable, a beam and an arch is correct?

A A cable and an arch both carry only bending moment. B A beam carries only axial tension, while a cable carries shear and bending. C A cable carries primarily axial tension, a funicular arch carries primarily axial compression, and a beam commonly carries bending moment and shear. D A cable carries axial compression while an arch carries axial tension.

Question 3 ప్రశ్న 3

Which statement correctly identifies the functions of major components of a conventional suspension bridge?

A Hangers primarily anchor the cable into the ground, while anchorages support the roadway vertically. B Towers primarily act as flexible tension members, while the main cables resist compression. C The deck alone carries all bridge loads directly to the foundations without assistance from cables. D Hangers transfer deck loads to the main cables, towers support the cables, and anchorages resist the cable end pull.

Question 4 ప్రశ్న 4

Which statement correctly distinguishes two standard ideal cable shapes?

A A cable under uniform load per unit horizontal span forms a catenary, while self-weight uniformly distributed along the cable forms a parabola. B A cable under uniform load per unit horizontal span forms a parabola, while a cable hanging under its own uniformly distributed weight per unit cable length forms a catenary. C Both loading cases necessarily produce an exact circle. D Both loading cases necessarily produce exactly the same parabola.

Question 5 ప్రశ్న 5

For a perfectly flexible cable supported at the same level and subjected only to vertical loads, let H be the constant horizontal component of cable tension and y be the vertical dip below the support chord at a section. If M0 is the bending moment at the corresponding section of a simply supported beam carrying the same vertical loads, which relation expresses the general cable theorem?

A Hy = M0 B H/y = M0 C H = M0y² D Hy² = M0

Question 6 ప్రశ్న 6

A perfectly flexible cable has supports at the same level, span L and midspan sag f. It carries a uniformly distributed vertical load w per unit horizontal span. Which pair correctly gives its parabolic profile and constant horizontal component of tension?

A y = fx/L and H = wL/(8f) B y = 4fx/L and H = wL²/(4f) C y = 4fx(L-x)/L² and H = wL²/(8f) D y = f[1-x(L-x)/L²] and H = 8wf/L²

Question 7 ప్రశ్న 7

A flexible cable has supports at the same level, a span of 24 m and a midspan sag of 3 m. It carries a UDL of 8 kN/m over the horizontal span. What are the vertical reaction at each support and the horizontal component H of cable tension?

A Vertical reaction = 48 kN each and H = 96 kN B Vertical reaction = 96 kN each and H = 192 kN C Vertical reaction = 96 kN each and H = 96 kN D Vertical reaction = 192 kN each and H = 96 kN

Question 8 ప్రశ్న 8

For the cable in the previous question, what are the minimum cable tension and the maximum cable tension approximately?

A Minimum = 96 kN at midspan; maximum = 192 kN at the supports B Minimum = 192 kN at the supports; maximum = 214.7 kN at midspan C Minimum = 96 kN at the supports; maximum = 214.7 kN at midspan D Minimum = 192 kN at midspan; maximum = 214.7 kN at the supports

Question 9 ప్రశ్న 9

For the 24 m span, 3 m sag cable carrying 8 kN/m, what are the cable dip and tension magnitude at x = 6 m from the left support?

A y = 1.50 m and T = 192.0 kN B y = 3.00 m and T = 214.7 kN C y = 2.25 m and T ≈ 197.9 kN D y = 2.25 m and T ≈ 214.7 kN

Question 10 ప్రశ్న 10

The span and UDL of the 24 m cable remain unchanged, but its midspan sag is increased from 3 m to 6 m. What are the new horizontal component H and support tension approximately?

A H = 96 kN and support tension ≈ 135.8 kN B H = 192 kN and support tension ≈ 214.7 kN C H = 384 kN and support tension ≈ 395.8 kN D H = 96 kN and support tension = 96 kN

Question 11 ప్రశ్న 11

For geometrically similar loading conditions, a parabolic cable carries a UDL w per horizontal metre and has fixed sag f. If its span is doubled while w and f remain unchanged, by what factor does the horizontal component of tension change?

A It becomes one-half. B It doubles. C It remains unchanged. D It becomes four times.

Question 12 ప్రశ్న 12

A perfectly flexible cable is supported at the same level over a span of 20 m. A single 80 kN vertical load acts at midspan, where the cable sag is 4 m. Neglect cable self-weight. What are the horizontal component H and the tension in either cable segment?

A H = 50 kN and T = 64.0 kN B H = 100 kN and T ≈ 107.7 kN C H = 100 kN and T = 100 kN D H = 200 kN and T ≈ 204.0 kN

Question 13 ప్రశ్న 13

A flexible cable with supports at the same level spans 20 m. A 60 kN point load acts 8 m from the left support, and the cable dip at the load point is 3 m. Neglect self-weight. What are the vertical reactions and horizontal component H?

A VA = 30 kN, VB = 30 kN and H = 80 kN B VA = 24 kN, VB = 36 kN and H = 96 kN C VA = 36 kN, VB = 24 kN and H = 96 kN D VA = 36 kN, VB = 24 kN and H = 48 kN

Question 14 ప్రశ్న 14

For the cable in the previous question, what are the tension magnitudes in the left and right cable segments?

A Left segment ≈ 102.5 kN; right segment ≈ 99.0 kN B Left segment ≈ 99.0 kN; right segment ≈ 102.5 kN C Both segments = 96 kN D Both segments ≈ 107.7 kN

Question 15 ప్రశ్న 15

A perfectly flexible cable carries only a number of isolated vertical point loads between its supports, and cable self-weight is neglected. What is the cable geometry between adjacent load points?

A A circular arc between every pair of loads B A parabola between every pair of loads C A catenary between every pair of loads D A straight segment between adjacent concentrated-load points, with changes in slope occurring at the loads

Question 16 ప్రశ్న 16

A flexible cable spans 20 m between supports at the same level. It carries 30 kN at x = 5 m and 50 kN at x = 12 m from the left support. The dip at x = 12 m is 4 m. Neglect self-weight. What are VA, VB and H?

A VA = 37.5 kN, VB = 42.5 kN and H = 60 kN B VA = 42.5 kN, VB = 37.5 kN and H = 75 kN C VA = 40 kN, VB = 40 kN and H = 75 kN D VA = 42.5 kN, VB = 37.5 kN and H = 150 kN

Question 17 ప్రశ్న 17

For the two-point-load cable in the previous question, what is the cable dip at x = 5 m?

A 1.417 m B 2.000 m C 2.833 m D 4.000 m

Question 18 ప్రశ్న 18

For the same 20 m cable carrying 30 kN at x = 5 m and 50 kN at x = 12 m, with H = 75 kN, which cable segment has the greatest tension and what is its approximate magnitude?

A Left support to x = 5 m; approximately 86.2 kN B Between x = 5 m and x = 12 m; approximately 86.2 kN C From x = 12 m to the right support; approximately 76.0 kN D All three segments have exactly 75 kN tension

Question 19 ప్రశ్న 19

For a symmetric parabolic cable with supports at the same level carrying a UDL per unit horizontal span, where do the minimum and maximum cable tensions occur?

A Minimum at the supports and maximum at midspan B Minimum at midspan and maximum at the supports C Both minimum and maximum occur at quarter span D The tension is constant throughout the cable

Question 20 ప్రశ్న 20

A symmetric parabolic cable has span L, midspan sag f and carries a UDL w per unit horizontal span. Which pair correctly gives the tangent slope magnitude at a support and the corresponding support tension?

A tanθ = f/L and T = H B tanθ = 2f/L and T = wL/2 C tanθ = 8f/L and T = H + wL/2 D tanθ = 4f/L and T = sqrt[H² + (wL/2)²]

Question 21 ప్రశ్న 21

A parabolic cable spans 40 m between equal-level supports and carries 5 kN/m uniformly over the horizontal span. What midspan sag is required if the horizontal component of cable tension is to be 250 kN?

A 2 m B 3 m C 4 m D 5 m

Question 22 ప్రశ్న 22

A parabolic cable spans 40 m, has a midspan sag of 4 m and carries 5 kN/m uniformly over the horizontal span. What is the maximum cable tension approximately?

A 269.3 kN B 250.0 kN C 200.0 kN D 350.0 kN

Question 23 ప్రశ్న 23

What is the principal introductory structural purpose of a stiffening girder or stiffened deck in a conventional suspension bridge?

A To convert the main cable from tension into compression B To distribute concentrated or moving live loads over a greater length and reduce excessive local deformation of the flexible cable-deck system C To eliminate the need for towers and anchorages D To make the main cable resist bending moment as a rigid beam

Question 24 ప్రశ్న 24

Which statement correctly relates ideal funicular cable and arch behaviour under the same system of vertical loads?

A Both must resist the loading primarily through bending moment. B The cable is a compression-only member and the arch is tension-only. C They must have identical material properties to possess related funicular shapes. D Their funicular forms are geometrically corresponding inverted shapes, with the cable carrying tension and the arch carrying compression.

Question 25 ప్రశ్న 25

Consider the following statements about suspension cables:
1. An ideal flexible cable cannot resist bending moment or axial compression.
2. Under a UDL uniform per unit horizontal span, an equal-level cable assumes a parabolic profile.
3. For such a parabolic cable, the maximum tension occurs at midspan because the sag is maximum there.
4. In a suspension bridge, hangers transfer deck loading to the main cable and a stiffening girder can help distribute moving loads.

Which statements are correct?

A 1 and 3 only B 2, 3 and 4 only C 1, 2 and 4 only D 1, 2, 3 and 4

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