Elements of Natural Philosophy |
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Page 237
... stress is said to be homo- geneous through that space . In other words , the stress experienced by the matter is homogeneous through any space if all equal , similar , and similarly turned portions of matter within this space are ...
... stress is said to be homo- geneous through that space . In other words , the stress experienced by the matter is homogeneous through any space if all equal , similar , and similarly turned portions of matter within this space are ...
Page 238
... stress : P , Q , R the normal components of the forces on these planes ; and S , T , U the tangential components ... stress in a solid , a quadratic surface may always be determined , which shall represent the stress graphically in the ...
... stress : P , Q , R the normal components of the forces on these planes ; and S , T , U the tangential components ... stress in a solid , a quadratic surface may always be determined , which shall represent the stress graphically in the ...
Page 239
... stress whatever there are three determinate planes at right angles to one another such that the force acting in the solid across each of them is precisely perpendicular to it . These planes are called the principal or normal planes of ...
... stress whatever there are three determinate planes at right angles to one another such that the force acting in the solid across each of them is precisely perpendicular to it . These planes are called the principal or normal planes of ...
Page 240
... stress explained in preceding sections , will be found convenient : - Components of the Planes ; of which | Direction relative motion , or of relative across which force strain . stress . is reckoned . Р motion or of force . f g a b POR ...
... stress explained in preceding sections , will be found convenient : - Components of the Planes ; of which | Direction relative motion , or of relative across which force strain . stress . is reckoned . Р motion or of force . f g a b POR ...
Page 241
... stress ( P , Q , R , S , T , U ) , and to oppose this stress only with its innate resistance to change of shape , the differential equation of work done will [ by ( 4 ) with de , df , etc. , substituted for e , f , etc. ] be dw = Pde + ...
... stress ( P , Q , R , S , T , U ) , and to oppose this stress only with its innate resistance to change of shape , the differential equation of work done will [ by ( 4 ) with de , df , etc. , substituted for e , f , etc. ] be dw = Pde + ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem tion torsion uniform unit vertical weight whole wire