Graphical Analysis: A Text Book on Graphic Statics

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McGraw-Hill book Company, Incorporated, 1921 - 374 σελίδες
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Περιεχόμενα

NonConcurrent Coplanar Forces
13
Fur icr lar or Equilibrium Polygon
14
Resultant a Couple
18
NonConcurrent Coplanar Forces Conditions for Equilibrium
19
Resultant of a Number of Parallel Forces
21
Reactions for a Beam
23
Reactions for a Beam with a Distributed Load
25
Reactions for a Beam with Inclined Loads
26
Reactions for a Truss Vertical Loads
27
Horizontal Component Divided Equally between the Two Reactions
31
Reactions of a Rafter Supported on Purlins
32
Stresses in the Members of a Frame
33
Stresses in a Bicycle Frame
35
Passing a Funicular Polygon through Three Given Points
37
CHAPTER II
40
Centroid of an Arc
42
Centroid of a Curve
44
Centroids of Areas
45
Centroid of a Quadrilateral
46
Centroid of a Trapezoid
47
Given the Centroid Area and Distance between the Two Parallel Sides of a Trapezoid to Find the Lengths of the Parallel Sides
48
Centroid of a Sector
49
Centroid of a Circular Segment
50
Centroids of Irregular Areas
51
Centroids of Volumes
53
Complex Volumes which can be Divided into a Number of Regular Volumes
54
Irregular Volumes Division into Slices
57
Centroid Located by the Use of Sections and Area Curves
59
Stress Volumes
61
CHAPTER III
64
First Moment of a Number of Forces about a Point
65
First Moment of an Area about a Given Axis
67
Moment Diagram for a Beam
68
Second Moments
69
Second Moment of a Number of Parallel Forces
70
Moment of Inertia of an Area
72
Mohrs and Culmans Methods
73
Radius of Gyration
74
Radius of Gyration of Rectangles Parallelograms and Triangles
75
Moment of Inertia Exact Method
76
Higher Moments
77
Central Circle or Ellipse of Inertia
79
Complicated Problems
80
CHAPTER IV
81
Simple Beams
85
Cantilever Beams
89
Beams with an Overhanging End
91
Beams with a Variable 1
94
Beams with One End Fixed
96
Beams Fixed at Both Ends
99
Continuous Beams of Two Spans
102
Continuous Beams of Three Spans
107
ART PAGE 65 Weight of Trusses
113
Other Weights
114
Snow Load
115
Notation
116
Stresses by Analytical Moments
117
Stresses Obtained Graphically by Joints
118
Stresses Obtained by Stress Diagram
120
Stress Diagram Upper and Lower Chord Loads
122
Wind Loads Reactions and Stress Diagrams
124
Stress Diagram Combined Loads
126
Bridge Trusses of the K Type
156
Trussed Dome
158
Ring Dome Dead Loads
159
Ring Dome Wind Loads
163
CHAPTER VI
168
Single Concentrated Moving Load and a Uniform Dead Load
171
Uniform Moving Load Longer than the Span
175
Moving Uniform Load Shorter than the Span
177
Uniform Dead Load and Uniform Moving Load Shorter than the Span
179
Three Concentrated Moving Loads
184
Four Concentrated Moving Loads and a Uniform Dead Load
187
A Large Number of Concentrated Moving Loads
190
Maximum Shears and Moments in a Turntable
193
Moving Loads on Trusses
196
CHAPTER VII
201
Stress Volumes
204
Problems Rectangular Piers
205
Problems Irregular Piers
206
Kerns
209
Location of Points on the Edge of the Kern Analytically
214
Pressure on Wall Footings
216
Retaining Walls
218
Line of Pressure in a Pier
222
Masonry Chimneys
224
Line of Pressure in an Arch
228
ThreeHinged Arches
231
ThreeHinged Arch Symmetrically Loaded
237
TwoHinged Arches
238
Hingeless Arches Method of Least Work
242
Solution of an Arch Using Theory of Least Crown Pressure
245
A Study of Domes
250
CHAPTER VIII
254
For Rectangular Beams
259
TBeams
260
of TBeams
264
Bending Stresses in Complex Sections
267
Combined Stresses
270
Eccentrically Loaded Columns
271
Reinforced Concrete Chimneys
275
Deflection of Reinforced Concrete Beams
278
CHAPTER IX
281
Design of Plate Girders
297
Steel Trusses Design and Details
300
Wooden Trusses Design and Details
305
Diagram for Designing Wooden Compression Members
313
Diagram for Designing Cast Iron OGee Washers
314
ART PAGE 137 Diagram for Designing Steel Angle Struts
317
Trussed Beams
319
Diagram for Designing Eccentrically Loaded Steel Columns
322
Diagram for Designing Eccentrically Loaded Reinforced Concrete Columns
324
Problems
330
CHAPTER X
339
Connection of Wind Bracing Girder to Columns
342
Steel Beams Reinforced with Concrete Fireproofing and Slabs
344
Continuous Frame of Two Fixed Columns and a Girder
347
Steel Towers
354
Longitudinal Strength Calculations for a Ship
359
Moment of Inertia of a Large Reinforced Concrete Section
363
Stresses in a Reinforced Concrete Beam Foundation
365
Index
369
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Σελίδα 254 - A, by n, the ratio of the modulus of elasticity of steel to that of concrete. For compressive reinforcing, the area A„.
Σελίδα 76 - Let it be required to find the moment of inertia of the area of the circle (Fig.
Σελίδα xiv - S is taken to represent the allowed stress in the outermost fiber (ie, the extreme fiber stress), c is the distance from the neutral axis to the outermost fiber, and / is the moment of inertia of the cross-section of the pin.
Σελίδα 79 - Now let it be assumed that the moment of inertia and the radius of gyration of the area about xx are found by graphical construction.
Σελίδα 113 - ... the span in feet.- A similar series of designs was made by using white pine instead of longleaf yellow pine, and the trusses were found to be somewhat lighter. A comparison of five designs of...
Σελίδα 114 - Various formulas have been proposed for determining the weights of steel roof-trusses, and among them is the following, deduced by Milo S. Ketchum, Assoc. M. Am. Soc. CE...
Σελίδα 3 - Or we may say that any system of forces is in equilibrium when any one of them is the anti-resultant of all the others. Composition of Forces. — Combining the forces of a system in order to obtain an equivalent system with a fewer number of forces, perhaps only one. Resolution of Forces. — The reverse of the composition process. The process of finding for a given system of forces an equivalent system with a larger number of forces. Component. — When a force is resolved into two or more forces,...
Σελίδα 114 - Yellow pine sheathing 1 inch thick 4 Tiles, flat 15 to 20 Tiles, corrugated 8 to 10 Tiles on concrete slab 30 to 35 Plastered ceiling 10 See Ketchum's Structural Engineers
Σελίδα 285 - This means that the unit horizontal shear and also the unit vertical shear increases from zero at the top to a maximum at the neutral axis and then decreases down to zero again at the bottom.
Σελίδα 47 - This was done by drawing a line from a vertex to the midpoint of the opposite side and locating its third point.

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