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# Determine the Radius of Curvature

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For the composite bar indicated (see attachment), determine the radius of curvature caused by the couple of moment 70 Nm.

a) 9.16 mm

b) 12.73 mm

c) 11.87 mm

d) 10.41 mm

##### Solution Summary

Radius of curvature caused by a couple moment on a composite bar is determined in a Word attachment.

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Please see the attachment.

Problem:

For the composite bar indicated (see attachment), determine the radius of curvature caused by the couple of moment 70 Nm.

a) 9.16 mm

b) 12.73 mm

c) 11.87 mm

d) 10.41 mm

Solution:

Let's denote:
- Est = the Young modulus of the Steel component
- EAL = the Young modulus of the Aluminum component
- Ist = the moment of inertia of the Steel cross section
- IAL = the moment of inertia of the Aluminum cross section

We will assume the following model:

The bending moment (M) can be decomposed in 2 components, each of them acting onto a single component of beam assembly, but in a such a way that the curvature of both deflected elements is the same:
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