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The action of materials under stress; (1897)

Greene, Charles E[zra] 1842- [from old catalog], Greene, Albert Emerson. [from old catalog] · Ann Arbor, Mich., Printed for the author · leaf 28

An illustration from The action of materials under stress;, 1897, leaf 28
on a plane making an angle d withthe right section, the normal unit stress, /„ = p^ cos^ Q, andthe tangential unit stress q = p^ sin 6 cos d. If m = co-efficient of frictional resistance of the material to sliding, theresistance per square inch to sliding along this oblique planewill be mp,, = mpi… … Fi^.2. 16 STRUCTURAL MECHANICS. that plane for which the above expression is a maximum, ord{q — i)ip») -^ d 0 = o. Differentiating relatively to ^, /j (cos^ 0 — sin-^ 0 -\- 2 7n sin 0 cos <9) = o. Siir 0 — 2 m sin 0 cos 0 -{- vv- cos^ 0 = cos^ Q -}- trC cos^ Q; sin ^ — ;;^ cos 0 = cos 6^ -|/(i…

Mechanics, Applied · Strength of materials

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