Engineering Mechanics of Materials4. 2 Solid Circular Shafts-Angle of Twist and Shearing Stresses 159 4. 3 Hollow Circular Shafts-Angle of Twist and Shearing Stresses 166 4. 4 Principal Stresses and Strains Associated with Torsion 173 4. 5 Analytical and Experimental Solutions for Torsion of Members of Noncircular Cross Sections 179 4. 6 Shearing Stress-Strain Properties 188 *4. 7 Computer Applications 195 5 Stresses in Beams 198 5. 1 Introduction 198 5. 2 Review of Properties of Areas 198 5. 3 Flexural Stresses due to Symmetric Bending of Beams 211 5. 4 Shear Stresses in Symmetrically Loaded Beams 230 *5. 5 Flexural Stresses due to Unsymmetric Bending of Beams 248 *5. 6 Computer Applications 258 Deflections of Beams 265 I 6. 1 Introduction 265 6. 2 Moment-Curvature Relationship 266 6. 3 Beam Deflections-Two Successive Integrations 268 6. 4 Derivatives of the Elastic Curve Equation and Their Physical Significance 280 6. 5 Beam Deflections-The Method of Superposition 290 6. 6 Construction of Moment Diagrams by Cantilever Parts 299 6. 7 Beam Deflections-The Area-Moment Method 302 *6. 8 Beam Deflections-Singularity Functions 319 *6. 9 Beam Deflections-Castigliano's Second Theorem 324 *6. 10 Computer Applications 332 7 Combined Stresses and Theories of Failure 336 7. 1 Introduction 336 7. 2 Axial and Torsional Stresses 336 Axial and Flexural Stresses 342 7. 3 Torsional and Flexural Stresses 352 7. 4 7. 5 Torsional, Flexural, and Axial Stresses 358 *7. 6 Theories of Failure 365 Computer Applications 378 *7. |
From inside the book
Results 1-5 of 92
Page viii
... Functions 319 * 6.9 Beam Deflections - Castigliano's Second Theorem * 6.10 Computer Applications 332 324 7 Combined Stresses and Theories of Failure 7.1 Introduction 336 7.2 Axial and Torsional Stresses 336 7.3 Axial and Flexural ...
... Functions 319 * 6.9 Beam Deflections - Castigliano's Second Theorem * 6.10 Computer Applications 332 324 7 Combined Stresses and Theories of Failure 7.1 Introduction 336 7.2 Axial and Torsional Stresses 336 7.3 Axial and Flexural ...
Page 1
... functions of coordinates measured along member lengths . Equations and procedures are developed for the construction of axial force , torque , shear , and moment diagrams . Sign conventions are used for two purposes in analyzing ...
... functions of coordinates measured along member lengths . Equations and procedures are developed for the construction of axial force , torque , shear , and moment diagrams . Sign conventions are used for two purposes in analyzing ...
Page 5
... function of the longitudinal coordinate x . In addition to the distributed loading f , one or more concentrated loadings such as P may also be applied to the member . These externally applied axial loadings are balanced by R at the left ...
... function of the longitudinal coordinate x . In addition to the distributed loading f , one or more concentrated loadings such as P may also be applied to the member . These externally applied axial loadings are balanced by R at the left ...
Page 6
... with wg 4 lb / ft . This becomes WB = FB - WBY = 0 FB = 4y ( 0 ≤ y ≤ 10 ) FB is a linear function of y that varies from 0 lb when y - 0 ft to 40 lb when y = 10 ft . Overhead frame 15 ft + I 10 ft B y 6 Ch . 1 Internal Forces in Members.
... with wg 4 lb / ft . This becomes WB = FB - WBY = 0 FB = 4y ( 0 ≤ y ≤ 10 ) FB is a linear function of y that varies from 0 lb when y - 0 ft to 40 lb when y = 10 ft . Overhead frame 15 ft + I 10 ft B y 6 Ch . 1 Internal Forces in Members.
Page 7
... function of y which varies from 40 lb when y = 25 ft . А A B = y 10 ft to 130 lb when These linear functions for F and F are plotted versus y as shown in Fig . 1.5 ( d ) . This plot is the axial force diagram for the member . We observe ...
... function of y which varies from 40 lb when y = 25 ft . А A B = y 10 ft to 130 lb when These linear functions for F and F are plotted versus y as shown in Fig . 1.5 ( d ) . This plot is the axial force diagram for the member . We observe ...
Contents
Stresses in Beams | 198 |
Deflections of Beams | 265 |
Combined Stresses and Theories of Failure | 336 |
Column Theory and Analyses | 384 |
Statically Indeterminate Members | 432 |
Introduction to Component Design | 484 |
Analysis and Design for Inelastic Behavior | 523 |
Analysis and Design for Impact and Fatigue Loadings | 552 |
Selected Topics | 590 |
13 7 | 625 |
APPENDIX | 647 |
Index | 687 |
Other editions - View all
Common terms and phrases
absolute maximum shear aluminum angle of twist applied Assume axes axial force axially loaded beam shown bending C₁ cantilever beam Castigliano's second theorem column compressive constant coordinate cross section cross-sectional area cylinder deflection deformation depicted in Fig diameter elastic curve equal equation equilibrium Euler EXAMPLE factor of safety FIGURE flexural stress FORTRAN free-body diagram k-ft k-in kN-m lb/ft length longitudinal M₁ material maximum shear stress modulus of elasticity Mohr's circle moment of inertia neutral axis normal stress obtained plane stress plane stress condition plot principal centroidal axis principal stresses r₁ radius ratio Refer to Fig rotation shaft shear force shear strain shown in Fig slope SOLUTION statically indeterminate steel stress element t₁ t₂ tensile Tmax torque torsional uniform load V₁ yield stress zero σ₁