In a multiple disc clutch, if there are 4 discs on the driving shaft and 3 discs on the driven shaft, then the number of pairs of contact surfaces will be equal to _______.
6
Calculating Contact Surfaces in a Multiple Disc Clutch
A multiple disc clutch is a type of clutch that uses multiple friction plates to transmit torque from the driving shaft to the driven shaft. It is commonly used when a large amount of torque needs to be transmitted within a limited radial space, as the multiple surfaces increase the friction area.
In a multiple disc clutch, the discs are typically arranged in an alternating pattern, with discs connected to the driving shaft interleaved with discs connected to the driven shaft.
The total number of pairs of contact surfaces where friction occurs is determined by the number of discs on both shafts. When the clutch is engaged, friction acts between each pair of mating surfaces between a driving disc and a driven disc.
If \(n_1\) is the number of discs on the driving shaft and \(n_2\) is the number of discs on the driven shaft, the total number of pairs of contact surfaces (\(N\)) is given by the formula:
\(N = n_1 + n_2 - 1\)
In this specific question, we are given:
- Number of discs on the driving shaft (\(n_1\)) = 4
- Number of discs on the driven shaft (\(n_2\)) = 3
Using the formula, we can calculate the number of pairs of contact surfaces:
\(N = 4 + 3 - 1\)
\(N = 7 - 1\)
\(N = 6\)
Therefore, there will be 6 pairs of contact surfaces in this multiple disc clutch arrangement.
Let's visualize this with a simple diagrammatic representation:
If D represents a driving disc and d represents a driven disc, a possible arrangement would be D - d - D - d - D - d - D. The contact surfaces are between the adjacent D and d discs.
Contact surfaces are located at:
- Between the 1st driving disc and 1st driven disc
- Between the 1st driven disc and 2nd driving disc
- Between the 2nd driving disc and 2nd driven disc
- Between the 2nd driven disc and 3rd driving disc
- Between the 3rd driving disc and 3rd driven disc
- Between the 3rd driven disc and 4th driving disc
This gives a total of 6 contact surfaces.
Thus, the number of pairs of contact surfaces is equal to 6.
Important Questions from Friction Clutches
Which of the following statement is CORRECT about the dry clutch?
In designing a plate clutch, assumption of uniform wear conditions is made because:
A single plate clutch has outer and inner radii 50 mm and 20 mm respectively. An axial clamping force required to engage the clutch is 2 kN and coefficient of friction between liner material is 0.4, the torque carrying capacity of the clutch using uniform wear theory is
Match List-I with List-II and select the correct answer using the codes given below the lists.
List - I List - II J. Single-plate clutch 1. Scooters K. Multi-plate clutch 2. Rolling mills L. Centrifugal clutch 3. Trucks M. Jaw clutch 4. Mopeds The total normal force (F) acting on the area of contact of disc clutch (Assuming uniform distribution of interface pressure) is:
(Where P is the intensity of pressure, r0 and ri outer and inner diameter of disc respectively)
