A pair of wedges is used to lift a crate as shown in The crate weighs 4000 lb, the wedge angle 8 is Fig. 18°, and the coefficient of friction is 0.15 at all surfaces. The weight of the wedges is negligible. Determine If the system would be in equilibrium if the force P were removed. W

A pair of wedges is used to lift a crate as shown in The crate weighs 4000 lb, the wedge angle 8 is Fig. 18°, and the coefficient of friction is 0.15 at all surfaces. The weight of the wedges is negligible. Determine If the system would be in equilibrium if the force P were removed. W

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A pair of wedges is used to lift a crate as shown in
The crate weighs 4000 lb, the wedge angle 8 is
Fig.
18°, and the coefficient of friction is 0.15 at all surfaces. The
weight of the wedges is negligible. Determine
If the system would be in equilibrium if the force P
were removed.
W

Expert Solution

Step 1

Given:

The weight of crate W is 4000 lb.

The inclination of the wedge, $θ = 18 ° .$

The coefficient of friction at all surface is $μ_{s} = 0.15 .$

Calculation:

The angle of static friction can be calculated as,

$\begin{array}{rcl} ϕ_{s} & = & \tan^{- 1} (μ_{s}) \\ = & \tan^{- 1} (0.15) \\ = & 8.530 ° \end{array}$

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