Question

The test specimen AB is placed in the grip of a tension-testing machine and secured with a wedge. The coefficient of static friction at both surfaces of the specimen is µs. If the wedge angle is θ = 18◦, determine the smallest µs for which the grip is self-locking (no slipping takes place regardless of the magnitude of the force P). Neglect the weight of the wedge.

Step 1

Following is the given information

The coefficient of static friction at both surfaces of the specimen is µ_{S} .

The wedge angle is θ = 18◦.

To be found: The smallest coefficient of static friction ( µ_{S} ) at both surfaces of the specimen for which the grip is self-locking (no slipping takes place regardless of the magnitude of the force P).

Step 2

Neglecting the weight of the wedge.

The given wedge is a two-force member which implies that it has forces and no moments which act on the member at two positions. The net force acting on each position must be equal, opposite and collinear as shown in the diagram below.

And let the two forces be represented by R on both sides of the wedge.

Step 3

The following condition should prevail

...

Tagged in

Q: -6 in. dia 2 in S in 5 in 5 in. dia Fig. P8.141 8.141 The thin-walled cylindrical can with a spheric...

A: Sketch the thin walled cylindrical as shown in Figure 1.

Q: The 18m long simply supported beam support the distributed load as shown in the image. Use the stati...

A: Calculate the reaction supports and moments at the supprts.

Q: For the given statically indeterminate beam find: Deflection diagram Moment equation of the beam Us...

A: Solution:Given:The load act on a beam (w) is 600lb/ft.The length of the beam (L) is 15 ft.Calculatio...

Q: The bean is fabricated from two equivalent structural tees and two plates. Each plate has a height o...

A: Lets calculate I at Neutral axis

Q: Environmental Engineering Plateau Creek carries 5.0 m3/s of water with a selenium (Se) concentration...

A: Calculate the net water after the creek water is withdrawn by the farmer and the steady state flow r...

Q: A cylinder falls down the inside of an oil-filled pipe as shown. The small space between the pipe an...

A: Derive a formula for the steady state rate of descent (Vfall) of the cylinder.Provide the shear stre...

Q: E=160 GPa I= 65.0*106mm4 What is the slope and deflection at the end of the beam?

A: Given,

Q: 8.129 The rectangular plate is subjected to the pressure P Po-cos 2b Determine the resultant force o...

A: It is required to calculate the resultant force of pressure and co-ordinates of point of application...

Q: Fluid Mechanics Will water in a parafin wax capillary tube inserted vertically in a reservoir of wat...

A: Capillary Action:The tendency of a fluid to rise or suppress in a narrow tube, or capillary tube, is...

Sorry about that. What wasn’t helpful?