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 82
Page 6
... in Fig . 1.4 ( a ) . ← Σ Ε = 0 x FdFF - ƒ dx = 0 dF f = dx ( 1.1 ) The applied axial load intensity ƒ at any ... lb / ft and rod B weighs w = 4 lb / ft . Con- struct the axial force diagram for this rod and note the maximum force in the ...
... in Fig . 1.4 ( a ) . ← Σ Ε = 0 x FdFF - ƒ dx = 0 dF f = dx ( 1.1 ) The applied axial load intensity ƒ at any ... lb / ft and rod B weighs w = 4 lb / ft . Con- struct the axial force diagram for this rod and note the maximum force in the ...
Page 7
... lb / ft and WB = 4 lb / ft this becomes FA = 6y - 20 ( 10 ≤ y ≤ 25 ) FA is also a linear 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 ...
... lb / ft and WB = 4 lb / ft this becomes FA = 6y - 20 ( 10 ≤ y ≤ 25 ) FA is also a linear 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 ...
Page 12
... in Fig . P1.10 . The unit weights of each part are wA = 6 lb / ft , wg = 8 lb / ft , and we = 4 lb / ft . Draw appropriate WB free - body diagrams to determine the internal axial forces in each part of the rod . Use an origin at O and ...
... in Fig . P1.10 . The unit weights of each part are wA = 6 lb / ft , wg = 8 lb / ft , and we = 4 lb / ft . Draw appropriate WB free - body diagrams to determine the internal axial forces in each part of the rod . Use an origin at O and ...
Page 20
... in Fig . 1.11 ( c ) . We observe that the resisting torque T at the fixed end equals 86.7 k - ft . Shear and Bending ... lb / ft are applied at the top of the rail . The box girder is designed to support the passenger vehicles that move along ...
... in Fig . 1.11 ( c ) . We observe that the resisting torque T at the fixed end equals 86.7 k - ft . Shear and Bending ... lb / ft are applied at the top of the rail . The box girder is designed to support the passenger vehicles that move along ...
Page 22
... in Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this ... lb - ft / ft and x is measured in ft . Determine the internal torque T as a function of x and plot the function . TA ( N ...
... in Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this ... lb - ft / ft and x is measured in ft . Determine the internal torque T as a function of x and plot the function . TA ( N ...
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