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ASCE 9780784476857 2012

$89.92

Practical Approximate Analysis of Beams and Frames

Published By Publication Date Number of Pages
ASCE 2012 391
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Sponsored by the Engineering Mechanics Institute of ASCEPractical Approximate Analysis of Beams and Frames presents a new method for structural engineers to approximately analyze the mechanics of beams and frames. The approach, which complements the results produced by computer software, can be used to sketch deflected shapes and to estimate moment diagrams, deflections, influence lines, and moments of inertia, as well as to establish a framework for nondestructive evaluation of framed structures. This method is relatively short and simple, robust with good accuracy, memorable, and applicable to practical problems.With this approximate analysis method, engineers sketch the deformations of beams and frames, with an emphasis on qualitative precision. The resulting sketches reveal the behavior of structures in a visually rich and informative way. One advantage of this method is that it localizes all dimensional quantities in a few factors, so that only relative stiffness parameters need to be estimated. Each chapter contains examples of this method applied to produce summaries and ranges of behavior in a wide variety of realistic situations.For practicing structural engineers, the methods in this book are an illuminating and time-saving addition to traditional computer calculations. For engineering students, these methods emphasize the conceptual aspects of mechanical analysis, supplementing their training in structural analysis software programs.

PDF Catalog

PDF Pages PDF Title
1 Cover
6 Contents
10 Preface
14 1 Approximate Analysis of Beams and Frames with no Sidesway
1.1 Introduction to Sketching
17 1.2 Passive Members in Continuous Beams and Frames
24 1.3 Beam with a Moment Applied at One End and Resisting at the Other
29 1.4 Example: Continuous Beam with Moment Applied at Only One Node
33 1.5 Outline of Approximate Method for Analyzing Structures with No Sidesway
35 1.6 Beam with a Uniform Load
52 1.7 Example: Uniform Load
55 1.8 Beam with a Point Force
79 1.9 Example: Point Force
83 1.10 Comments and Examples on Multiple Loads
91 1.11 Beam with Two or More Internal Hinges
99 1.12 Beam with One Internal Hinge, a Moment Applied at One End and Resisting at the Other
106 1.13 Beam with One Internal Hinge and a Uniform Load
110 1.14 Beam with One Internal Hinge and a Point Force
116 2 Approximate Analysis of Frames with Sidesway
2.1 The Cantilever and the Single Floor Portal Frame
126 2.2 Approximate Analysis of Single Floor Frames Subject to a Horizontal Load
135 2.3 Sketching Single Floor Portal Frames
142 2.4 The Column with Rotary Springs and Moments at Both Ends
152 2.5 Approximate Analysis of Multiple Floor Frames Subject to Horizontal Loads
163 2.6 A Note on the Lumped Mass Model for Buildings
171 2.7 Sketching Multiple Floor Frames Subject to Horizontal Loads
182 2.8 Notes on Sidesway Due to Vertical Loads or Applied Couples
196 3 Estimating Displacements in Beams and Frames
3.1 Maximum Vertical Displacements in Beams
202 3.2 Estimating Moment of Inertia
213 3.3 Relative Vertical Displacements versus Strain in Beams
221 3.4 Side Displacements of Frames Subject to Side Loads
235 3.5 Obtaining Rotary Stiffness Factors from Slope Measurements in Beams
244 4 Approximate Influence Lines for Indeterminate Beams
4.1 Introduction to Influence Lines
251 4.2 Exact Influence Lines for Statically Determinate Beams
279 4.3 Approximate Influence Lines for Statically Indeterminate Structures
326 Appendixes
A: Beams—End-Moments and Inflection Points
A.1 Moment End-Loaded Beam
328 A.2 Uniformly Distributed Load
330 A.3 Point Force
336 B: Column—Shear Stiffness, End-Moments and Inflection Points
B.1 Cantilever
337 B.2 Column for Single Story Building
339 B.3 Column for MultiStory Building—First Floor
341 B.4 Column for MultiStory Building—Top Floor (Top and Bottom Beams Similar)
342 B.5 Column for MultiStory Building—General Case
344 C: Beams—Deflections and Rotations
C.1 Displacements at Any Location
347 C.2 Rotations at Any Location
349 C.3 Uniform Load—Mid Displacements
351 C.4 Point Force—Centrally Loaded—Mid Displacements
353 C.5 Point force—Loaded Anywhere—Mid Displacements
356 C.6 Point Moment—Loaded Anywhere—Mid Displacements
359 C.7 Cantilever—Various Special Cases—Displacements
362 D: Useful Results for Influence Lines
D.1 Influence Lines for Vertical Force Reactions
364 D.2 Influence Lines for Shear Forces
D.3 Influence Lines for Bending Moments
366 D.4 Transition Member
368 Index
A
369 B
C
370 D
E
371 F
H
372 I
L
375 M
376 N
381 O
P
382 R
383 S
390 T
U
391 V
W
Z
ASCE 9780784476857 2012
$89.92