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 15
B.B. Muvdi, J.W. McNabb. EXAMPLE 1.4 2 Refer to Fig . 1.7 with T1 = 20 k - in . , T2 = T3 30 k - in . , T , = 25 k - in . , I1 = 20 in . , 12 = 30 in . , and 13 = 30 in . Determine T4 , TA , TB , and Tc , and plot the torque diagram for ...
B.B. Muvdi, J.W. McNabb. EXAMPLE 1.4 2 Refer to Fig . 1.7 with T1 = 20 k - in . , T2 = T3 30 k - in . , T , = 25 k - in . , I1 = 20 in . , 12 = 30 in . , and 13 = 30 in . Determine T4 , TA , TB , and Tc , and plot the torque diagram for ...
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... k - ft . FIGURE P1.19 1.20 A stepped shaft is subjected to the torques shown . in Fig . P1.20 . These applied torques are resisted at D. Compute the reacting torque at D and draw the torque diagram for this shaft . 1.22 Draw the torque ...
... k - ft . FIGURE P1.19 1.20 A stepped shaft is subjected to the torques shown . in Fig . P1.20 . These applied torques are resisted at D. Compute the reacting torque at D and draw the torque diagram for this shaft . 1.22 Draw the torque ...
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... in Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this shaft . q = const = 6 k - ft / ft ) ) ) ) ) ) ) 1.28 The shaft depicted in Fig . P1.28 is torsionally free at A and fixed ...
... in Fig . P1.25 . Determine the reacting torques at A and D. Find T versus x and plot the torque diagram for this shaft . q = const = 6 k - ft / ft ) ) ) ) ) ) ) 1.28 The shaft depicted in Fig . P1.28 is torsionally free at A and fixed ...
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