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 72
Page 11
... steel beam 40 ft long is suspended from its upper end as shown in Fig . P1.6 . Choose an origin at the top or bottom of the member and write an equation that expresses the internal force in the member as a function of a coordinate ...
... steel beam 40 ft long is suspended from its upper end as shown in Fig . P1.6 . Choose an origin at the top or bottom of the member and write an equation that expresses the internal force in the member as a function of a coordinate ...
Page 13
... steel piling weighing 250 lb / ft was damaged during driving and must be pulled from the earth as shown in Fig . P1.16 . The pile is about to move upward when the pulling force is 30 tons . The pulling force is resisted by the pile ...
... steel piling weighing 250 lb / ft was damaged during driving and must be pulled from the earth as shown in Fig . P1.16 . The pile is about to move upward when the pulling force is 30 tons . The pulling force is resisted by the pile ...
Page 45
... beam . W 1200 lb 800 lb Hinge A B D E A गीता , 2 ft3 ft- 4 ft 4 ft 13 ft FIGURE P1.67 6wb 10wb2 C E गीता , -4b- 46 3b 3b 14b FIGURE P1.71 PROBLEMS 1.77 A 40 - ft length of steel beam. Sec . 1.8 / Shear and Moment Relationships 45.
... beam . W 1200 lb 800 lb Hinge A B D E A गीता , 2 ft3 ft- 4 ft 4 ft 13 ft FIGURE P1.67 6wb 10wb2 C E गीता , -4b- 46 3b 3b 14b FIGURE P1.71 PROBLEMS 1.77 A 40 - ft length of steel beam. Sec . 1.8 / Shear and Moment Relationships 45.
Page 46
... steel I beam . P B 3P 2P + b b FIGURE P1.73 EI 1.74 Determine the reactions at B and D acting on the beam depicted in Fig . P1.74 . Construct the shear and moment diagrams for this reinforced concrete beam . W B D -3L- C 4 wL = P + -2L ...
... steel I beam . P B 3P 2P + b b FIGURE P1.73 EI 1.74 Determine the reactions at B and D acting on the beam depicted in Fig . P1.74 . Construct the shear and moment diagrams for this reinforced concrete beam . W B D -3L- C 4 wL = P + -2L ...
Page 50
B.B. Muvdi, J.W. McNabb. PROBLEMS 1.77 A 40 - ft length of steel beam weighing 162 lb / ft is lifted , during erection of a structure , as shown in Fig . P1.77 . Draw the axial , shear , and moment diagrams for this beam . 15 ft moment ...
B.B. Muvdi, J.W. McNabb. PROBLEMS 1.77 A 40 - ft length of steel beam weighing 162 lb / ft is lifted , during erection of a structure , as shown in Fig . P1.77 . Draw the axial , shear , and moment diagrams for this beam . 15 ft moment ...
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