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1 e14 - applied mechanics: statics e14 - applied mechanics: statics mon/wed/fri, 12:50-2:05pm, e14 - applied mechanics: statics regular final mon, 06/06/11, 8:30-10:30am, 120 min, cubaud regular final (w/extra time and extra room) mon, 06/05/11, 8:30-11:30pm, durand 203, 180 min makeup final sun, 05/05/11, 3:00-5:00pm, , 120 min makeup final (w/extra time) sun, 05/05/11, 3:00-6:00pm, , 180 min closed book, closed notes, one page cheat sheet bring your calculators! last minute office hours sun, 05/05/11, (but not in) syllabus e14 - applied mechanics: statics 2 final exam - time & place 3 final exam - format 4

2 problem 01 example 5.15 to develop equations of equilibrium for a rigid body to introduce the concept of a free body diagram for a rigid body to show how to solve rigid body equilibrium problems 5 3d equilibrium 5 5 3d equilibrium 6 example 5.15 example d equilibrium 7 5 3d equilibrium 8

3 example 5.16 problem 02 to show how to determine the forces in the members of a truss using the methods of joints to analyze the forces acting on the members of frames and machines composed of pin-connected members 5 3d equilibrium 9 6 truss structures example 6.1 example truss structures 6 truss structures 10

4 problem 6.5 problem 03 to show how to determine the forces in the members of a truss using the methods of joints 8m to analyze the forces acting on the members of frames and machines composed of pin-connected members 6 truss structures example 6.9 example

5 example 6.9 example 6.9 FH FH FH FH FV FV W2 W1 d1 W1 W2 AH BH AV B V BH AH AV problem 6.74 problem N 100 N 3m d1 2m 2m BV to show how to use the method of sections to determine the internal loadings in a member to generalize this procedure by formulating equations that can be plotted so that they describe the internal shear and moment throughout a member 20

6 example - simply supported beam example 7.6 V [N] M [Nm] example 7.6 statics of the hanging problem idealized free body diagram cantiliver beam M=W l 0 V=W V(x) + M(x) - W shear diagram V = W = const. x moment diagram x min M = -W [l-x]

7

8 problem 7.78 problem N 8 m 4 m 100 N/m 6 m 800 Nm the heat generated by the abrasive action of friction can be noticed when using this drinder to sharpen a metal blade friction is a force that risists the movement of two contacting surfaces relative to one another friction always acts tangent to the surface and is directed opposite to a possible motion slipping & tipping 8 friction example pushing on the uniform crate of weight W sitting on a rough surface. if the magnitude P is small, the crate will remain in equilibrium and not move (left FBD). as P increases, the crate will either be on the verge of slipping, F = µ s M, or, if the surface is very rough with large µ s, the resultant force moves towards the corner and beyond, x>b/2, and the crate will tip over. tipping also depends on the height h of the force P. 8.2 problems involving dry friction 8.2 problems involving dry friction 32

9 example 8.1 example problems involving dry friction 33 example problems involving dry friction problems involving dry friction 35 8 friction 36

10 8 friction 37 8 friction 38 problem 06 to discuss the concept of the center of gravity, center of mass, and centroid to show how to determine the center of gravity and centroid for a system of particles to show how to determine the center of gravity and centroid for composite bodies 8 friction center of gravity and centroid 40

11 example 9.10 example composite bodies composite bodies 42 mr equilibrium: isaac newton e14 - applied mechanics: statics regular final mon, 06/06/11, 8:30-10:30am, 120 min, cubaud regular final (w/extra time and extra room) mon, 06/05/11, 8:30-11:30pm, durand 203, 180 min makeup final sun, 05/05/11, 3:00-5:00pm, , 120 min makeup final (w/extra time) sun, 05/05/11, 3:00-6:00pm, , 180 min powered by jacob closed book, closed notes, one page cheat sheet bring your calculators! last minute office hours sun, 05/05/11, (but not in) and our all time hero is 43 final exam 44

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