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. |
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Page 78
... Show these stresses on properly oriented planes . 2.9 The plane stress condition at a point in a structur- al member is shown in Fig . P2.9 . Determine and show on properly oriented sketches the principal stresses and the maximum in ...
... Show these stresses on properly oriented planes . 2.9 The plane stress condition at a point in a structur- al member is shown in Fig . P2.9 . Determine and show on properly oriented sketches the principal stresses and the maximum in ...
Page 80
... show them on properly oriented sketches . Find also the normal and shear stresses on a plane that makes a 25 ccw angle with the Y plane . Show on a properly oriented stress element . 100 MPa Y plane 30 ° FIGURE P2.16 03 = 200 MPa 2 = 30 ...
... show them on properly oriented sketches . Find also the normal and shear stresses on a plane that makes a 25 ccw angle with the Y plane . Show on a properly oriented stress element . 100 MPa Y plane 30 ° FIGURE P2.16 03 = 200 MPa 2 = 30 ...
Page 646
... Show the local coordinate system on this diagram and the forces applied to the member at joints 1 and 2 by referring to Figs . C13.5 and C13.6 . Show that this member is in equilibrium under the action of the applied uniform load and ...
... Show the local coordinate system on this diagram and the forces applied to the member at joints 1 and 2 by referring to Figs . C13.5 and C13.6 . Show that this member is in equilibrium under the action of the applied uniform load and ...
Contents
Stresses in Beams | 198 |
Deflections of Beams | 265 |
Combined Stresses and Theories of Failure | 336 |
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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 perpendicular plane stress plane stress condition plot principal centroidal axis principal stresses r₁ radius ratio rectangular 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