Test 7 - Extra Widening and Transition Curves

Question 1 ప్రశ్న 1

A long-wheelbase commercial vehicle negotiates a relatively sharp horizontal curve. Its rear wheels do not follow exactly the path traced by the front wheels. Which engineering phenomenon primarily explains the need for mechanical extra widening?

A The increase in longitudinal pavement gradient caused by the vehicle's weight. B The reduction in wheelbase that occurs automatically as the vehicle enters a curve. C Off-tracking associated with the vehicle's wheelbase and curved path, which increases the lateral space required. D The increase in the road's normal camber due to centrifugal acceleration.

Question 2 ప్రశ్న 2

For a two-lane non-urban highway, IRC:73-2023 identifies mechanical and psychological components of extra widening. Which statement correctly distinguishes their engineering purposes?

A Mechanical widening accommodates vehicle off-tracking, while psychological widening provides additional clearance for comfortable and safe vehicle movement on curves. B Mechanical widening compensates only for pavement temperature, while psychological widening compensates for subgrade settlement. C Mechanical widening provides longitudinal braking distance, while psychological widening replaces the need for stopping sight distance. D Both components depend exclusively on the road's longitudinal gradient and not on horizontal curvature.

Question 3 ప్రశ్న 3

Which expression correctly represents the conventional mechanical extra-widening component in IRC horizontal-curve design, where n is the number of traffic lanes, l is the wheelbase of the design vehicle and R is the curve radius?

A Wm = V/(9.5 sqrt(R)). B Wm = 2nR/l^2. C Wm = nl/(2R^2). D Wm = nl^2/(2R).

Question 4 ప్రశ్న 4

For two-lane or wider highway curves, which expression represents the psychological component in the conventional IRC extra-widening calculation, with V in km/h and R in metres?

A Wp = nl^2/(2R). B Wp = V/(9.5 sqrt(R)). C Wp = V^2/(127R). D Wp = 9.5R/V.

Question 5 ప్రశ్న 5

A two-lane road has a horizontal curve of radius 120 m. Assume two traffic lanes and a design-vehicle wheelbase of 6 m. Using Wm = nl^2/(2R), what is the theoretical mechanical extra widening?

A 0.30 m. B 0.15 m. C 0.60 m. D 1.20 m.

Question 6 ప్రశ్న 6

For a two-lane highway curve, take design speed V = 60 km/h and radius R = 100 m. Using Wp = V/(9.5 sqrt(R)), what is the approximate psychological widening component?

A 0.30 m. B 0.45 m. C 0.63 m. D 1.26 m.

Question 7 ప్రశ్న 7

For an illustrative two-lane curve, let n = 2, wheelbase l = 6 m, design speed V = 60 km/h and radius R = 100 m. Using the combined theoretical formula We = nl^2/(2R) + V/(9.5 sqrt(R)), what total extra widening is calculated before consulting IRC tabulated requirements?

A Approximately 0.36 m. B Approximately 0.99 m. C Approximately 0.63 m. D Approximately 1.80 m.

Question 8 ప్రశ్న 8

Two design vehicles have wheelbases of 6 m and 9 m. If lane count and horizontal-curve radius remain unchanged, what is the ratio of their theoretical mechanical-widening requirements for the longer-wheelbase vehicle compared with the shorter one?

A 1.50. B 3.00. C 4.50. D 2.25.

Question 9 ప్రశ్న 9

In the combined theoretical extra-widening formula, design speed is doubled while curve radius, lane count and vehicle wheelbase remain unchanged. Which statement correctly describes the two components?

A Mechanical widening remains unchanged, while psychological widening doubles. B Mechanical widening doubles, while psychological widening remains unchanged. C Both components become four times their previous values. D Mechanical widening becomes half, while psychological widening becomes four times its previous value.

Question 10 ప్రశ్న 10

In the conventional two-lane extra-widening equations, curve radius is increased from R to 4R while design speed, wheelbase and lane count remain constant. How do the mechanical and psychological widening components change?

A Both components become one-fourth of their previous values. B Mechanical widening becomes half, while psychological widening becomes one-fourth. C Mechanical widening becomes one-fourth, while psychological widening becomes half. D Both components remain unchanged because traffic lane count is constant.

Question 11 ప్రశ్న 11

For a single-lane rural road curve, assume a design-vehicle wheelbase of 6 m and radius of 30 m. Under the IRC principle of considering only mechanical widening for a single-lane road, what formula-derived widening is obtained?

A 1.20 m. B 0.60 m. C 0.30 m. D 0.90 m.

Question 12 ప్రశ్న 12

Under IRC:73-2023 Table 6.6, what extra pavement width is specified on a two-lane non-urban highway horizontal curve of radius 250 m?

A 0.30 m. B 0.90 m. C 1.50 m. D 0.60 m.

Question 13 ప్రశ్న 13

A single-lane Other District Road has a horizontal curve of radius 75 m. According to the IRC:73-2023 Table 6.7 widening schedule for MDR, ODR and Village Roads, what additional carriageway width is prescribed for that radius and lane category?

A Nil. B 0.60 m. C 0.90 m. D 1.50 m.

Question 14 ప్రశ్న 14

A circular highway curve is connected to its straight approaches by properly designed transition curves. How should the prescribed extra pavement widening ordinarily be developed under IRC:73-2023?

A Introduce the entire extra width abruptly at the first point of the circular arc. B Keep the pavement at normal width through the circular curve and widen it only after the curve ends. C Increase width approximately uniformly along the transitions and maintain full extra width throughout the circular portion. D Concentrate all widening at the midpoint of the circular curve and taper it to zero at each end.

Question 15 ప్రశ్న 15

A highway horizontal curve has no transition curve. Under IRC:73-2023, which arrangement is specified for introducing the required extra widening?

A Introduce all widening instantaneously at the circular curve's midpoint. B Attain approximately two-thirds of the widening on the straight section before the curve and the remaining one-third on the curve. C Attain one-third on the approach tangent and two-thirds after the end of the circular curve. D Omit widening because it is permitted only when a spiral transition is present.

Question 16 ప్రశ్న 16

Which statement correctly describes the distribution of extra widening under IRC:73-2023, including its special treatment for hill roads and plain circular curves without transitions?

A All widening must always be placed on the valley side of every hill road. B Widening must be confined to the outer side of every curve, irrespective of its design. C Equal distribution on both sides is prohibited even where transition curves are provided. D Widening is generally distributed on both sides, but hill roads may preferably widen toward the hillside, and plain circular curves without transitions use inside widening.

Question 17 ప్రశ్న 17

Why is the spiral or clothoid recommended as a highway transition curve in IRC:73-2023?

A Its curvature increases progressively with distance along the spiral, enabling smooth steering and lateral-acceleration development. B It maintains a constant finite radius from the tangent point to the circular curve. C It causes centrifugal acceleration to change discontinuously at the point of entry. D It eliminates all need for longitudinal and transverse geometric design.

Question 18 ప్రశ్న 18

For the IRC:73-2023 transition-comfort criterion, the allowable rate of change of centrifugal acceleration is C = 80/(75 + V), subject to a minimum of 0.5 and maximum of 0.8 m/s3. What C should be used at V = 100 km/h?

A 0.457 m/s3 without applying any limit. B 0.800 m/s3. C 0.500 m/s3. D 1.000 m/s3.

Question 19 ప్రశ్న 19

A highway transition is designed for V = 80 km/h and circular radius R = 400 m. Using IRC:73-2023 Ls = 0.0215V^3/(CR), where C = 80/(75 + V) subject to limits of 0.5 and 0.8 m/s3, what is the comfort-based minimum transition length?

A Approximately 26.7 m. B Approximately 53.3 m. C Approximately 80.0 m. D Approximately 106.6 m.

Question 20 ప్రశ్న 20

For a non-urban highway in plain terrain, the pavement is rotated about its centre line. Normal paved width W = 9.0 m, extra widening We = 0.6 m, full superelevation e = 0.06 and allowable relative longitudinal grade = 1 in 150. Using Ls = eN(W + We)/2, what runoff-based transition length is required?

A 86.4 m. B 21.6 m. C 72.0 m. D 43.2 m.

Question 21 ప్రశ్న 21

Consider the same total pavement width of 9.6 m, adopted superelevation e = 0.06 and relative-gradient limit 1 in 150. If the pavement is instead rotated about its inner edge, using Ls = eN(W + We), what is the runoff-based transition length?

A 86.4 m. B 43.2 m. C 64.8 m. D 144.0 m.

Question 22 ప్రశ్న 22

A non-urban highway in plain terrain has V = 90 km/h, R = 350 m, adopted e = 7%, paved width W = 7.0 m and extra widening We = 0.6 m. Use C = 80/(75 + V), limited to 0.5–0.8 m/s3; Lcomfort = 0.0215V^3/(CR); and inner-edge runoff length Lrunoff = eN(W + We), with N = 150. Which minimum transition length governs from these two criteria?

A Approximately 39.9 m, from centre-line rotation. B Approximately 79.8 m, from runoff. C Approximately 89.6 m, from centrifugal-acceleration comfort. D Approximately 169.4 m, from adding the two minimum lengths.

Question 23 ప్రశ్న 23

In the approximate small-angle spiral-transition relationship, the circular-arc shift is p = Ls^2/(24R). If a transition has length Ls = 60 m and circular radius R = 300 m, what is the approximate shift?

A 2.00 m. B 1.00 m. C 6.00 m. D 0.50 m.

Question 24 ప్రశ్న 24

A highway transition is rotated about its inner pavement edge with superelevation e = 6% and relative-gradient requirement 1 in 150. If an additional 0.6 m of pavement widening is included, by how much does the runoff-based transition length increase, with all other parameters unchanged?

A 0.60 m. B 5.40 m. C 9.00 m. D 15.00 m.

Question 25 ప్రశ్న 25

A two-lane hill highway has a sharp horizontal curve used by long-wheelbase trucks. The design team must provide extra widening, a spiral transition and superelevation, but valley-side widening would require major retaining works. Which engineering approach is most defensible?

A Check design-vehicle swept paths and applicable IRC widening, consider hillside distribution of the added width, and adopt a transition meeting both comfort and superelevation-runoff criteria. B Omit mechanical widening because truck off-tracking disappears automatically on superelevated curves. C Provide full extra widening abruptly at the tangent point and use the shortest transition length regardless of lateral acceleration. D Transfer all additional width toward the valley edge without investigating stability, construction feasibility or driver behaviour.

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