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 80
Page 14
... Fig . 1.7 . This equation states that the algebraic sum of the torques ( or moments ) about the longitudinal axis of the member equals zero . Symbolically , we write = 0 where the subscript x T refers to the longitudinal axis of the ...
... Fig . 1.7 . This equation states that the algebraic sum of the torques ( or moments ) about the longitudinal axis of the member equals zero . Symbolically , we write = 0 where the subscript x T refers to the longitudinal axis of the ...
Page 22
... Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this shaft ... Refer to Fig . P1.32 and determine the vertical. 22 Ch . 1 Internal Forces in Members.
... Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this shaft ... Refer to Fig . P1.32 and determine the vertical. 22 Ch . 1 Internal Forces in Members.
Page 28
... Fig . 1.16 ( c ) on the left part of the beam . The resultant applied force equals the area under the linear force ... Refer to Fig . P1.47 and determine the reactions. 28 Ch . 1 Internal Forces in Members.
... Fig . 1.16 ( c ) on the left part of the beam . The resultant applied force equals the area under the linear force ... Refer to Fig . P1.47 and determine the reactions. 28 Ch . 1 Internal Forces in Members.
Page 29
... Refer to Fig . P1.35 and determine the vertical reactions acting on the beam at A and B. Then find the shear and moment at section C - C by using both left and right free - body diagrams . 20 kN 10 kN 30 kN 6 KN 10 kN A 40 kN 30 kN A 2 ...
... Refer to Fig . P1.35 and determine the vertical reactions acting on the beam at A and B. Then find the shear and moment at section C - C by using both left and right free - body diagrams . 20 kN 10 kN 30 kN 6 KN 10 kN A 40 kN 30 kN A 2 ...
Page 30
B.B. Muvdi, J.W. McNabb. 1.39 Refer to Fig . P1.39 and compute the shear and moment at distances of 2 and 10 ft from the left end of the beam . Include free - body diagrams for each solution . Linear 200 lb / ft B x 1.43 Refer to Fig ...
B.B. Muvdi, J.W. McNabb. 1.39 Refer to Fig . P1.39 and compute the shear and moment at distances of 2 and 10 ft from the left end of the beam . Include free - body diagrams for each solution . Linear 200 lb / ft B x 1.43 Refer to Fig ...
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