160
Index
L
Layered approach, 103
N
Nodes, 1
P
Parallel-axis theorem, 156
Plastic behavior, 103
Poisson’s ratio, 94
Product moment of area, 156
R
Residual, 6, 108
Rod, 11
basic equations, 12
boundary conditions, 13
definition, 11
internal reactions, 13
partial differential equation, 12
S
Second moment of area, 156
Shear-flexible beam. see Timoshenko beam
Shear modulus, 89
Shear-rigid beam. see Euler–Bernoulli beam
Stress distribution
Euler–Bernoulli beam, 40
rod, 14
Timoshenko beam, 94
T
Tangent stiffness matrix, 108
Taylor’s series, 1
Tensile stiffness, 13
Thick beam. see Timoshenko beam
Thin beam. see Euler–Bernoulli beam
Timoshenko beam, 89
basic equations, 90
boundary conditions, 93
definition, 89
internal reactions, 94
partial differential equation, 91
Truncation errors, 2
V
Varying properties
Euler–Bernoulli beam, 43, 70, 83–85
rod, 18, 30, 34, 35
Y
Young’s modulus, 11, 37
Youngs’s modulus, 89