Consider a single crystal of some hypothetical metal that has the FCC crystal structure and is oriented such that a tensile stress is applied along a [112] direction. If slip occurs on a (111) plane and in a [011] direction, and the crystal yields at a stress of 5.12 MPa, compute the critical resolved shear stress.

Notes Week 2 LECTURE 3 Position vector from A to B = (Xb – Xa) i, (Ya – Yb)j, (Za – Zb)k STEPS TO FINDING FORCE VECTOR a. Find position vector along 2 points ^^^ b. Find the unit vector r(ab)/r(ab) c. Multiply the unit vector by the magnitude of the force EXAMPLE: r(ac) = (2i + 3j 6k)m and F = 420 N r(ac) = √2^2 + 3^2 + (6)^2 = 7m u(ac) = (2/7i + 3/7j + 6/7k) F(ac) = F(ac) * u(ac) F(ac) = (420N)* (2/7i + 3/7j 6/7k) F(ac) = (120i + 180j – 360k)N DOT PRODUCT The dot product of vectors A and B is defined as A ∙ B = ABcosϴ ϴ is always the smallest angle between A and B 1. The result of the dot product is a scalar 2. The units of the dot product is the product of the units of A and B **Basically asking how much of A lies in the axis of B or vice ver