37.6k views
0 votes
The torque required to drive a 40 mm diameter power screw having double square threads with a pitch of 6 mm is 1.0 kN-m. The friction for the thread is 0.10. Is the condition self-locking? Show your calculation.

User Aleix CC
by
5.7k points

1 Answer

4 votes

Answer:

This is self locking.

Step-by-step explanation:

Given that

Diameter d= 40 mm

Pitch (P)= 6 mm

Torque T= 1 KN.m

Friction(μ) = 0.1

Thread is double square.

Condition for self locking


\mu >tan\theta


tan\theta=\frac{L} {\pi d}

L= n x P

N= number of start

Here given that double start so n=2

L=2 x 6 = 12 mm


tan\theta=\frac{L} {\pi d}


tan\theta=\frac{12} {\pi * 40}


tan\theta=0.095 (μ = 0.1)


\mu >tan\theta

So from we can that this is self locking.

User Trevor Tubbs
by
5.9k points