This is often the professional and basically reference that you'll be accepted to take advantage of through the FE examination. you'll want to familiarize yourself with the association of equations and knowledge during this guide, so that you can paintings successfully throughout the examination.
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Paul K. Trojan, Engineering Materials & Their Applications, 4th Ed. Copyright 1990 by Houghton Mifflin Co. Figure used with permission. 33 MECHANICS OF MATERIALS (continued) When the thickness of the cylinder wall is about one-tenth or less, of inside radius, the cylinder can be considered as thin-walled. In which case, the internal pressure is resisted by the hoop stress σt = Pi r t and σa = The two nonzero principal stresses are then: σa = C + R σb = C − R τin = R (σy, τxy) Pi r 2t where t = wall thickness.
399 µ × 103, Pa⋅⋅s 0 5 10 15 20 25 30 40 50 60 70 80 90 100 Viscositya, 2 Specific Weighta, γ , kN/m3 To obtain dynamic similarity between two flow pictures, all independent force ratios that can be written must be the same in both the model and the prototype. Thus, dynamic similarity between two flow pictures (when all possible forces are acting) is expressed in the five simultaneous equations below. Densitya, ρ , kg/m3 SIMILITUDE In order to use a model to simulate the conditions of the prototype, the model must be geometrically, kinematically, and dynamically similar to the prototype system.
M2 v2 n (1 + e ) + (m1 − em2 )v1n Iz = mrz2, where m1 + m2 m = m1v1n (1 + e ) − (em1 − m2 )v2 n rz m1 + m2 26 = the total mass of the body, and the radius of gyration (in this case, about the zaxis). DYNAMICS (continued) PLANE MOTION OF A RIGID BODY For a rigid body in plane motion in the x-y plane ΣFx = maxc ΣFy = mayc CENTRIFUGAL FORCE For a rigid body (of mass m) rotating about a fixed axis, the centrifugal force of the body at the point of rotation is Fc = mrω2 = mv2/r, where r ΣMzc = Izcα, where = c = the center of gravity, and BANKING OF CURVES (WITHOUT FRICTION) tan θ = v2/(gr), where α = angular acceleration of the body.