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 83
Page 1
... applied force systems . Empha- sis is placed upon the construction of diagrams that reveal the variation of internal forces as functions of coordinates measured along member lengths . Equations and procedures are developed for the ...
... applied force systems . Empha- sis is placed upon the construction of diagrams that reveal the variation of internal forces as functions of coordinates measured along member lengths . Equations and procedures are developed for the ...
Page 5
... applied in some variable fashion along the longitudinal member axis as indicated in Fig . 1.4 ( a ) . The axial load ... applied to the member . These externally applied axial loadings are balanced by R at the left end of the member , A ...
... applied in some variable fashion along the longitudinal member axis as indicated in Fig . 1.4 ( a ) . The axial load ... applied to the member . These externally applied axial loadings are balanced by R at the left end of the member , A ...
Page 6
... applied axial forces of intensity fact as shown 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 section of the loaded member equals the rate of change of the internal axial ...
... applied axial forces of intensity fact as shown 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 section of the loaded member equals the rate of change of the internal axial ...
Page 10
... applied at the roof and floor levels as shown . Determine the force F exerted on the column by the footing . Draw an ... applied loads and draw the axial force diagram for this beam . ( Half of each loading is applied on each side of the ...
... applied at the roof and floor levels as shown . Determine the force F exerted on the column by the footing . Draw an ... applied loads and draw the axial force diagram for this beam . ( Half of each loading is applied on each side of the ...
Page 15
... applied externally at given cross sections as depicted in Figure 1.7 but may be applied in some fashion along the longitudinal member axis as indicated in Fig . 1.9 ( a ) . The torque intensity denoted by q is a function of x . This ...
... applied externally at given cross sections as depicted in Figure 1.7 but may be applied in some fashion along the longitudinal member axis as indicated in Fig . 1.9 ( a ) . The torque intensity denoted by q is a function of x . This ...
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