Problem 39P

A 22-kg chimpanzee hangs from the end of a horizontal, broken branch 1.1m long, as shown in from 17-25. The branch is a uniform cylinder 4.6 cm in diameter, and the end of the branch supporting the chimp sags downward through a vertical distance of 13 cm. What is the shear modulus for this branch?

FIGURE 17-25

Solution of 39P

Step 1 of 4

We need to find the shear modulus of the branch from which the chimpanzee of mass is hanging creating a vertical sagging of .

Shear modulus is also called the modulus of rigidity. It is a ratio of Shear stress and shear strain.

Let shear modulus be denoted as .

Shear stress=

Shear strain=

Where,

is the displacement

is the original length

is the shearing force

is the cross-sectional area where the force is applied.