c05_stationary potential energy
DESCRIPTION
stationary potential energyTRANSCRIPT
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Chapter 5 Applications of
Energy Methods
5.1 Principle of stationary potential energy
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5.1 Principle of stationary
potential energy
2 2 UEME2163 Solid Mechanics II
Vanish: System is in
equilibrium
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5.1 Principle of stationary potential energy
3 3 UEME2163 Solid Mechanics II
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Example 5.1 Equilibrium of a linear elastic two-bar
system
4 4 UEME2163 Solid Mechanics II
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Example 5.1 Equilibrium of a linear elastic two-bar
system
5 5 UEME2163 Solid Mechanics II
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6 6 UEME2163 Solid Mechanics II
Solution
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7 7 UEME2163 Solid Mechanics II
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8 8 UEME2163 Solid Mechanics II
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5.2 Castiglinos theorem on deflections
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5.2 Castiglinos theorem on deflections
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5.2 Castiglinos theorem on deflections
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Example 5.2 Equilibrium of a nonlinear elastic two-
bar system
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13 13 UEME2163 Solid Mechanics II
Solution
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14 14 UEME2163 Solid Mechanics II
Solution
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5.2 Castiglianos theorem on deflections for linear load-deflection
relations
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5.2 Castiglianos theorem on deflections for linear load-deflection
relations
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5.3.1 Strain energy UN for axial
loading
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5.3.1 Strain energy UN for axial loading
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5.3.1 Strain energy UN for axial loading
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5.3.1 Strain energy for axial loading Spring
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5.3.1 Strain energy for axial loading Spring
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5.3.2 Strain energies UM and US for Beams
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5.3.2 Strain energies UM and US for Beams
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5.3.2 Strain energies UM and US for Beams
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k: Correction coefficient
Shear stress component
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5.3.3 Strain energy UT for torsion
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Example 5.3 Linear spring-weight system
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Example 5.3 Linear spring-weight system
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Solution
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Example 5.3 Linear spring-weight system
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Solution
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5.4 Deflections of statically determinate
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5.4 Deflections of statically determinate
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31 31 UEME2163 Solid Mechanics II
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32 32 UEME2163 Solid Mechanics II
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Example 5.5 End load on a cantilever Beam
33 33 UEME2163 Solid Mechanics II
Solution
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Example 5.5 End load on a cantilever Beam
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Example 5.6 Cantilever beam loaded in its
plane
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Example 5.6 Cantilever beam loaded in its
plane
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Solution
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Example 5.6 Cantilever beam loaded in its
plane
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Example 5.6 Cantilever beam loaded in its
plane
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Example 5.7 A shaft-beam mechanism
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Example 5.7 A shaft-beam
mechanism
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Solution
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Example 5.8 Uniformly loaded cantilever
beam
41 41 UEME2163 Solid Mechanics II
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Example 5.8 Uniformly loaded cantilever
beam
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Solution
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Example 5.9 Curved beam loaded in its
plane
43 43 UEME2163 Solid Mechanics II
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Example 5.9 Curved beam loaded in its
plane
44 44 UEME2163 Solid Mechanics II
Solution
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45 45 UEME2163 Solid Mechanics II
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Example 5.10 Semicircular cantilever beam
46 46 UEME2163 Solid Mechanics II
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Example 5.10 Semicircular cantilever beam
47 47 UEME2163 Solid Mechanics II
Solution
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48 48 UEME2163 Solid Mechanics II
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5.4.2 Dummy load method and dummy unit load
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5.4.2 Dummy load method and dummy unit load
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5.4.2 Dummy load method and dummy unit load
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Normal method
Dummy load method
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Example 5.11 Cantilever beam deflections and
rotations
52 52 UEME2163 Solid Mechanics II
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53 53 UEME2163 Solid Mechanics II
Solution
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54 54 UEME2163 Solid Mechanics II
Solution
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55 55 UEME2163 Solid Mechanics II
Solution
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56 56 UEME2163 Solid Mechanics II
Solution
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Example 5.12 Pin-connected truss
57 57 UEME2163 Solid Mechanics II
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58 58 UEME2163 Solid Mechanics II
Solution
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59 59 UEME2163 Solid Mechanics II
Solution
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5.5 Statically indeterminate structures
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Redundant supports
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5.5 Statically indeterminate structures
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Redundant members
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5.5 Statically indeterminate structures
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Example 5.15 Uniformly loaded propped cantilever beam
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Example 5.15 Uniformly loaded propped cantilever beam
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Solution
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Example 5.15 Uniformly loaded propped cantilever beam
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Solution
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Example 5.16 Statically indeterminate system
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Example 5.16 Statically indeterminate system
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Solution
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Example 5.16 Statically indeterminate system
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Solution
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Example 5.18 Spring supported I-beam
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Example 5.18 Spring supported I-beam
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Solution
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Example 5.18 Spring supported I-beam
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Solution
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Example 5.18 Spring supported I-beam
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Solution
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Example 5.18 Spring supported I-beam
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Solution