PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
7th Edition
ISBN: 9781119688372
Author: Mannering
Publisher: WILEY
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Chapter 2, Problem 23P
To determine
The percentage of the braking force to be allocated to the front to achieve optimal braking.
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Question-- A vehicle is moving on a road of grade +4% at a speed of 20 m/s.
Consider the coefficient of rolling friction as 0.46 and acceleration due to
gravity as 10 m/s². On applying brakes to reach a speed of 10 m/s, find the
required braking distance along the horizontal.
A race car with a 106-inch wheelbase has its weight evenly distributed between front and rear axles. At 150 mi/h, on a race track with = 1.0, the optimal brake force has 67.32% of the braking force on the front brakes. A new racing tire generates = 1.2. At 150 mi/h, what percentage of the braking force should now be allocated to the front to achieve optimal braking?
A 12.5 kN car has a 2250 mm wheelbase, with its center of gravity located 550 mm from the pavement and 1150 mm behind the front axle. 3 people weighing on average 95 kg loaded the vehicle, shifting the center of gravity 115 mm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a rear wheel drive? Use coefficient of road adhesion= 0.46.
Chapter 2 Solutions
PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
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- A 12.5 kN car has a 4000 mm wheelbase, with its center of gravity located 600 mm from the pavement and 1200 mm behind the front axle. Five people weighing on average 80 kg loaded the vehicle, shifting the center of gravity 125 mm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a front wheel drive? Use coefficient of road adhesion= 0.55.arrow_forwardKnowing that the coefficient friction between tires and the road is 0.8 for the automobile shown, determine the maximum possible acceleration on a level road, assuming four-wheel drives, rear-wheel drives and front-wheel drive.arrow_forwardA 11120 N car is designed with a 310 cm wheelbase. The center of gravity is located 60 cm above the pavement and 105 cm behind the front axle. If the coefficient of road adhesion is 0.6, what is the maximum tractive effort that can be developed if the car is (a) front-wheel drive and (b) rear-wheel drive? From the previous question, how far back from the front axle would the center of gravity have to be to ensure that the maximum tractive effort developed for front- and rear-wheel drive options is equal?arrow_forward
- The coefficient of friction in the transverse and longitudinal direction of a highway is estimated as 0.15 and 0.375 respectively. The braking distance for a car moving at a speed of 80 km/hr isarrow_forwardA car is moving at a speed of 72 km/hr on road having 2% upward gradient. The driver applies brakes when he sees an obstruction. If his reaciton time is 1.5 seconds, assuming that the co-efficient of friction between the pavement and tyre as 0.15, calculate the distance traversed before the car finally stops.arrow_forwardA 11,455 kN car has a 4,915 mm wheelbase, with its center of gravity located 536 mm from the pavement and 1,226 mm behind the front axle. Five people weighing on average 75 kg each loaded the vehicle, shifting the center of gravity 138 mm nearer to the rear axle. What is the maximum tractive effort (N) that can be developed if the car is a rear wheel drive? Use coefficient of road adhesion=0.55.arrow_forward
- A 1500kg vehicle subjected to safety test suddenly hit the brakes and stopped within 50 meters from a velocity of 100 kilometers per hour. If each wheels carries equal braking force, determine the force at each wheel. 50m V1= 100 kmn/h O 2890N O 3012N O 3502N O 3822N O2995N 3320Narrow_forward2. A 1500 kg car moving on a flat, horizontal road negotiates a curve. If the radius of the curve is 30 m and the coefficient of static friction between the tires and dry pavement is 0.53, find the maximum speed the car can have and still make the turn successful.arrow_forwardIf the braking force ratio of the vehicle that resulted to optimal braking force is 3.46, what is the total max braking force (N) that was developed if the maximum braking force on the rear brakes is 785N?arrow_forward
- A 3500-lb vehicle (CD = 0.38, A_f= 26 ft^2, p =0.002378 slugs/ft^3) is driven on a surface with a coefficient of adhesion of 0.5, and the coefficient of rolling friction is approximated as 0.015 for all speeds. Assuming minimum theoretical stopping distances, if the vehicle comes to a stop 260 ft after brake application on a level surface and has a braking efficiency of 0.82, what was its initial speed (a) if aerodynamic resistance is considered and (b) if aerodynamic resistance is ignored?arrow_forwardA car weighing 4000 lb is driven down a 5oincline at a speed of 60 mi/h when the brakes are applied, causing a constant total braking force (applied by the road on the tires) of 1500 lb. Determine the distance traveled by the car as it comes to a stop.arrow_forwardA train shown is traveling at a speed of 45mi/hr. A constant braking force of 4300 Ibs is applied to car B. A) What is the time required for the train to stop after the brakes are applied? B) What is the force in the coupling between the cars while the train is slowing downarrow_forward
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