The Elements of the Mechanics of Materials And of Power Transmission
The Elements of the Mechanics of Materials And of Power Transmission
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2 In other words, the sudden application of a load produces a stress twice as great as that produced by the same load applied gradually.
Should a load W fall on a beam through a distance h and pro- duce a deflection y, the kinetic energy developed would be W(h + y) ; but all this energy would not be converted into work of deformation on account of the inevitable loss of kinetic energy sustained by all partly elastic bodies during impact.
Example I. What load may fall through a distance of 8 inc...hes on the middle of a 1 2-inch Cambria I beam in order that the maximum fiber stress shall not exceed 20, 000 pounds per square inch, supposing 70 per cent of the kinetic energy of the falling load to be converted into work of deformation? The length of the beam is 16 feet, and its tabulated moment of inertia is 215. 8.
Solution. Let W denote the gradually applied load that would perform, in producing a deflection y, the same work of deformation as that performed by the falling load W' . The W Wy mean value of W is, and its work of deformation is - 2 2 WL The bending moment at the middle section due to W is > and we shall have Me WLc TJ/ 4^7 S ==, whence W=--> I 4 / Lc The deflection due to W we have found to be =-=, 48 hi (Art.
What to read after The Elements of the Mechanics of Materials And of Power Transmission?
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To quickly assess the difficulty of the text, read a short excerpt:
2 In other words, the sudden application of a load produces a stress twice as great as that produced by the same load applied gradually.
Should a load W fall on a beam through a distance h and pro- duce a deflection y, the kinetic energy developed would be W(h + y) ; but all this energy would not be converted into work of deformation on account of the inevitable loss of kinetic energy sustained by all partly elastic bodies during impact.
Example I. What load may fall through a distance of 8 inc...hes on the middle of a 1 2-inch Cambria I beam in order that the maximum fiber stress shall not exceed 20, 000 pounds per square inch, supposing 70 per cent of the kinetic energy of the falling load to be converted into work of deformation? The length of the beam is 16 feet, and its tabulated moment of inertia is 215. 8.
Solution. Let W denote the gradually applied load that would perform, in producing a deflection y, the same work of deformation as that performed by the falling load W' . The W Wy mean value of W is, and its work of deformation is - 2 2 WL The bending moment at the middle section due to W is > and we shall have Me WLc TJ/ 4^7 S ==, whence W=--> I 4 / Lc The deflection due to W we have found to be =-=, 48 hi (Art.
What to read after The Elements of the Mechanics of Materials And of Power Transmission?
You can find similar books in the "Read Also" column, or choose other free books by William Richard King to read onlineMoreLess
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