Engineering - Formulas For Structural Dynamics - Tables, Graphs, And Solutions - Mcgraw Hill 2004.pdf

Table of Contents
Cover----------------------------------------------------------------------------------------- 2
01 Transverse Vibration Equations--------------------------------------------------- 3
02 Analysis Methods --------------------------------------------------------------------- 17
03 Fundamental Equations of Classical Beam Theory -------------------------- 61
04 Special Functions for the Dynamical Calculation of Beams and
Frames--------------------------------------------------------------------------------------- 97
05 Bernoulli-Euler Uniform Beams with Classical Boundary Conditions----131
06 Bernoulli-Euler Uniform One-Span Beams with Elastic Supports --------161
07 Bernoulli-Euler Beams with Lumped and Rotational Masses--------------197
08 Bernoulli-Euler Beams on Elastic Linear Foundation ------------------------249
09 Bernoulli-Euler Multispan Beams -------------------------------------------------263
10 Prismatic Beams pressive and Tensile Axial Loads ----------301
11 Bress-Timoshenko Uniform Prismatic Beams ---------------------------------329
12 Non-Uniform One-Span Beams ---------------------------------------------------355
13 Optimal Designed Beams-----------------------------------------------------------397
14 Nonlinear Transverse Vibrations--------------------------------------------------411
15 Arches -----------------------------------------------------------------------------------437
16 Frames-----------------------------------------------------------------------------------473
Source: Formulas for Structural Dynamics: Tables, Graphs and Solutions
CHAPTER 1
TRANSVERSE VIBRATION
EQUATIONS
The different assumptions and corresponding theories of transverse vibrations of beams are
presented. The dispersive equation, its corresponding curve `propagation constant±
frequency' and parison with the exact dispersive curve are presented for each
theory and discussed.
The exact dispersive curve corresponds to the