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 1-3 of 70
Page 300
B.B. Muvdi, J.W. McNabb. SOLUTION ( a ) The solution is depicted in Fig . 6.8 ( d ) . Appropriate free - body diagrams are shown in Fig . 6.8 ( b ) and ( c ) . It is left as an exercise for the student to check these equations and the ...
B.B. Muvdi, J.W. McNabb. SOLUTION ( a ) The solution is depicted in Fig . 6.8 ( d ) . Appropriate free - body diagrams are shown in Fig . 6.8 ( b ) and ( c ) . It is left as an exercise for the student to check these equations and the ...
Page 374
... Solution of the preceding equation leads to the following value for diameter d : d = 3.09 in . ( Note that this solution may also be obtained by use of Eq . 7.13d . ) EXAMPLE 7.7 Solve Example 7.6 using the maximum shear stress theory ...
... Solution of the preceding equation leads to the following value for diameter d : d = 3.09 in . ( Note that this solution may also be obtained by use of Eq . 7.13d . ) EXAMPLE 7.7 Solve Example 7.6 using the maximum shear stress theory ...
Page 436
... solution of the given statically indeterminate problem has been reduced to the solution of the two simultaneous equations ( d ) and ( g ) , which leads to the normal stresses σ and σs . Since Hooke's law was used in the solution , the ...
... solution of the given statically indeterminate problem has been reduced to the solution of the two simultaneous equations ( d ) and ( g ) , which leads to the normal stresses σ and σs . Since Hooke's law was used in the solution , the ...
Contents
Stresses in Beams | 198 |
Deflections of Beams | 265 |
Combined Stresses and Theories of Failure | 336 |
Copyright | |
8 other sections not shown
Other editions - View all
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 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