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Chap8_VABLE

# Chap8_VABLE - M Vable Mechanics of Materials Stress...

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8 375 Mechanics of Materials: Stress Transformation M. Vable Printed from: http://www.me.mtu.edu/~mavable/MoM2nd.htm January, 2010 8.1 PRELUDE TO THEORY: THE WEDGE METHOD In this chapter we will study three methods of stress transformation. The wedge method , described in this section, is used to derive stress transformation equations in the next section. The stress transformation equations are then manipulated to gener- ate a graphical procedure called Mohr’s circle , which is described in Section 8.3. Two coordinate systems will be used in this chapter. First, the entire problem is described in a fixed reference coordinate system called the global coordinate system . We usually relate internal forces and moments to external forces and moments in the global coordinate system. The internal quantities are then used to obtain stresses, such as axial stress, torsional shear stress, and bending normal and shear stresses. And second, a local coordinate system that can be fixed at any point on the body. The orientation of the local coordinate system is defined with respect to the global coordinate. In all two-dimensional problems in this book, the local coordinate system will be the n , t , z coordinate system.
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Chap8_VABLE - M Vable Mechanics of Materials Stress...

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