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 74
Page 1
... plotting these quantities throughout this book . Examples are solved in detail to illustrate the methods developed for construction of these internal force diagrams . Appendix B provides information on connections and reactions at ...
... plotting these quantities throughout this book . Examples are solved in detail to illustrate the methods developed for construction of these internal force diagrams . Appendix B provides information on connections and reactions at ...
Page 3
... plot their variation along the member length . SOLUTION . Construct a free - body diagram of the entire member and orient a vertical axis positive upward as shown in Fig . 1.2 ( a ) and write Σ F , = 0 in order to find P , the reaction ...
... plot their variation along the member length . SOLUTION . Construct a free - body diagram of the entire member and orient a vertical axis positive upward as shown in Fig . 1.2 ( a ) and write Σ F , = 0 in order to find P , the reaction ...
Page 4
... plot is referred to as the axial force diagram for the member shown and will be utilized throughout this text . f 21 10 y ( m ) +6 +10 FIGURE 1.3 Axial force ( kN ) . tension positive Variable Axial Loading- Internal Force Relationships ...
... plot is referred to as the axial force diagram for the member shown and will be utilized throughout this text . f 21 10 y ( m ) +6 +10 FIGURE 1.3 Axial force ( kN ) . tension positive Variable Axial Loading- Internal Force Relationships ...
Page 7
... plot is the axial force diagram for the member . We observe that the axial force in the rod reaches a maximum value of 130 lb at its top , where it is connected to the overhead frame . Discussion of the results in terms of Eqs . 1.1 and ...
... plot is the axial force diagram for the member . We observe that the axial force in the rod reaches a maximum value of 130 lb at its top , where it is connected to the overhead frame . Discussion of the results in terms of Eqs . 1.1 and ...
Page 11
... plot the axial force diagram for it . Column 1.6 A steel beam 40 ft long is suspended from its upper end as shown in Fig . P1.6 . Choose an origin at the top or bottom of the member and write an equation that expresses the internal ...
... plot the axial force diagram for it . Column 1.6 A steel beam 40 ft long is suspended from its upper end as shown in Fig . P1.6 . Choose an origin at the top or bottom of the member and write an equation that expresses the internal ...
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 |
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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