prel1_f09_rev

prel1_f09_rev - ENGRD 2020 – MECHANICS OF SOLIDS Notes re...

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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 3-dimensions. 3. Representation of force systems: (a) Replacing a force distribution with an equivalent, single force. (b) Replacing a force with its equivalent force-couple. 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 cross-product: 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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prel1_f09_rev - ENGRD 2020 – MECHANICS OF SOLIDS Notes re...

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