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Unformatted text preview: ENGRD 2020 – MECHANICS OF SOLIDS Notes re: PRELIM I Concise Review of Topics covered in Prelim I Scheduled for TUESDAY, September 29th; 7:30–9:00pm Ives 105; Ives 305 Topics in Statics covered up to Prelim I: ( Statics , Chapts. 1–4) 1. Calculation of position and force vectors. 2. Calculation of a moment of a force in 3dimensions. 3. Representation of force systems: (a) Replacing a force distribution with an equivalent, single force. (b) Replacing a force with its equivalent forcecouple. 4. Drawing free body diagrams . 5. Recognizing the reactions (forces and moments) that can be exerted by different supports on a structure; 2D and 3D cases. 6. Application of the Equations of Equilibrium: ∑ F = 0 and ∑ M = 0 to solve for the reaction forces and moments at the supports of a structure; 2D and 3D examples. 7. Recognizing statically determinant , partially determinant and statically indeterminate structures. Positions, Forces  Remember these quantities are vectors and they obey the laws of vector arithmetic. Components of the vectors are written with respect to any convenient coordinate system: F = F ˆ n where ˆ n = n x ˆ i + n y ˆ j + n z ˆ k or F = F x ˆ i + F y ˆ j + F z ˆ k where the components of the unit vector ˆ n are the direction cosines of the vector. Moment of a Force  Remember that the moment is taken with respect to some point, O. It is given by the vector crossproduct: M O = r OA × F where r OA is the distance from O to any point A on the direction of F ....
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 '06
 ZEHNDER
 Force, Momentum, Euclidean vector, Force Systems

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