Page 19 - Essentials of applied mathematics for scientists and engineers
P. 19
book Mobk070 March 22, 2007 11:7
PARTIAL DIFFERENTIAL EQUATIONS IN ENGINEERING 9
1.6 LONGITUDINAL DISPLACEMENTS OF AN ELASTIC BAR
The longitudinal displacements of an elastic bar are described by Eq. (1.20) except the in this
2
case a = E/ρ, where ρ is the density and E is Young’s modulus.
FURTHER READING
V. Arpaci, Conduction Heat Transfer. Reading, MA: Addison-Wesley, 1966.
J. W. Brown and R. V. Churchill, Fourier Series and Boundary Value Problems. 6th edition. New
York: McGraw-Hill, 2001.
P. V. O’Neil, Advanced Engineering Mathematics. 5th edition. Pacific Grove, CA: Brooks/Cole-
Thomas Learning, 2003.