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A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will be
- a)50 m and 20 m
- b)61 m and 18 m
- c)111 m and 15 m
- d)122 m and 36 m
Correct answer is option 'B'. Can you explain this answer?
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Solution:
Clear Sight Triangle:
A clear sight triangle has to be ensured at the intersection. The sight triangle is a triangular area at the intersection, where the driver entering the intersection from the minor road can clearly see the approaching vehicles from both directions on the major road.
Minimum Length of Sides of Sight Triangle:
The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively, can be calculated as follows:
Let the distance of the sight triangle from the intersection along the two-lane road be x and along the single-lane road be y.
Stopping Sight Distance (SSD):
The stopping sight distance (SSD) is the minimum distance required for a driver to stop the vehicle after applying the brakes, considering the perception-reaction time, and the braking distance.
SSD = Perception-Reaction Time × Speed + (Speed)2 / 2 × Coefficient of Longitudinal Friction × Acceleration due to Gravity
SSD for the single-lane road,
SSDy = 2.5 × (20 × 5/18) + (20 × 5/18)2 / (2 × 0.38 × 9.81)
SSDy = 20.96 m
SSD for the two-lane road,
SSDx = 2.5 × (50 × 5/18) + (50 × 5/18)2 / (2 × 0.38 × 9.81)
SSDx = 70.32 m
Total Sight Distance (TSD):
The total sight distance (TSD) is the sum of the stopping sight distance (SSD) and the distance required for the driver to clear the intersection.
TSD = SSD + Distance Required to Clear the Intersection
Assuming the width of the two-lane road to be 7.5 m, the distance required to clear the intersection along the two-lane road can be calculated as follows:
Distance Required to Clear the Intersection along the Two-Lane Road = 1/2 × Width of Two-Lane Road / sin (Angle of Intersection)
Distance Required to Clear the Intersection along the Two-Lane Road = 1/2 × 7.5 / sin (45°)
Distance Required to Clear the Intersection along the Two-Lane Road = 5.3 m
Assuming the width of the single-lane road to be 3.75 m, the distance required to clear the intersection along the single-lane road can be calculated as follows:
Distance Required to Clear the Intersection along the Single-Lane Road = 1/2 × Width of Single-Lane Road / sin (Angle of Intersection)
Distance Required to Clear the Intersection along the Single-Lane Road = 1/2 × 3.75 / sin (45°)
Distance Required to Clear the Intersection along the Single-Lane Road = 2.65 m
Total Sight Distance along the Two-Lane Road,
TSDx = SSDx + Distance Required to Clear the Intersection along the Two-Lane Road
TSDx = 70.32 + 5.3
TSDx = 75.62 m
Total Sight Distance along the Single-Lane Road,
TSDy = SSDy + Distance Required to Clear the Intersection along the Single-Lane Road
TSDy = 20.96 + 2.65
TSDy
Clear Sight Triangle:
A clear sight triangle has to be ensured at the intersection. The sight triangle is a triangular area at the intersection, where the driver entering the intersection from the minor road can clearly see the approaching vehicles from both directions on the major road.
Minimum Length of Sides of Sight Triangle:
The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively, can be calculated as follows:
Let the distance of the sight triangle from the intersection along the two-lane road be x and along the single-lane road be y.
Stopping Sight Distance (SSD):
The stopping sight distance (SSD) is the minimum distance required for a driver to stop the vehicle after applying the brakes, considering the perception-reaction time, and the braking distance.
SSD = Perception-Reaction Time × Speed + (Speed)2 / 2 × Coefficient of Longitudinal Friction × Acceleration due to Gravity
SSD for the single-lane road,
SSDy = 2.5 × (20 × 5/18) + (20 × 5/18)2 / (2 × 0.38 × 9.81)
SSDy = 20.96 m
SSD for the two-lane road,
SSDx = 2.5 × (50 × 5/18) + (50 × 5/18)2 / (2 × 0.38 × 9.81)
SSDx = 70.32 m
Total Sight Distance (TSD):
The total sight distance (TSD) is the sum of the stopping sight distance (SSD) and the distance required for the driver to clear the intersection.
TSD = SSD + Distance Required to Clear the Intersection
Assuming the width of the two-lane road to be 7.5 m, the distance required to clear the intersection along the two-lane road can be calculated as follows:
Distance Required to Clear the Intersection along the Two-Lane Road = 1/2 × Width of Two-Lane Road / sin (Angle of Intersection)
Distance Required to Clear the Intersection along the Two-Lane Road = 1/2 × 7.5 / sin (45°)
Distance Required to Clear the Intersection along the Two-Lane Road = 5.3 m
Assuming the width of the single-lane road to be 3.75 m, the distance required to clear the intersection along the single-lane road can be calculated as follows:
Distance Required to Clear the Intersection along the Single-Lane Road = 1/2 × Width of Single-Lane Road / sin (Angle of Intersection)
Distance Required to Clear the Intersection along the Single-Lane Road = 1/2 × 3.75 / sin (45°)
Distance Required to Clear the Intersection along the Single-Lane Road = 2.65 m
Total Sight Distance along the Two-Lane Road,
TSDx = SSDx + Distance Required to Clear the Intersection along the Two-Lane Road
TSDx = 70.32 + 5.3
TSDx = 75.62 m
Total Sight Distance along the Single-Lane Road,
TSDy = SSDy + Distance Required to Clear the Intersection along the Single-Lane Road
TSDy = 20.96 + 2.65
TSDy
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A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer?
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A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer?.
A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer?.
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A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A priority intersection has a single-lane one-way traffic road crossing an undivided two-lane two-way traffic road. The traffic stream speed on the single-lane road is 20 kmph and the speed on the two-lane road is 50 kmph. The perception-reaction time is 2.5 s, coefficient of longitudinal friction is 0.38 and acceleration due to gravity is 9.81 m/s2. A clear sight triangle has to be ensured at this intersection. The minimum lengths of the sides of the sight triangle along the two-lane road and the single-lane road, respectively will bea)50 m and 20 mb)61 m and 18 mc)111 m and 15 md)122 m and 36 mCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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