e14 - applied mechanics: statics - stanford universitybiomechanics.stanford.edu/e14/e14_s18.pdf1 e14...
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1mon/wed/fri, 12:50-2:05pm, 370-370
e14 - applied mechanics: statics
2syllabus
e14 - applied mechanics: statics
3final exam - time & place
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, 530-127, 120 min• makeup final (w/extra time) sun, 05/05/11, 3:00-6:00pm, 530-127, 180 min• closed book, closed notes, one page cheat sheet• bring your calculators!• last minute office hours sun, 05/05/11, 3:00-6:00, @ (but not in) 530-127
4final exam - format
e14 - applied mechanics: statics
55 3d equilibrium
• 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
problem 01
65 3d equilibrium
example 5.15
75 3d equilibrium
example 5.15
85 3d equilibrium
example 5.16
95 3d equilibrium
example 5.16
106 truss structures
• to show how to determinethe forces in the members ofa truss using the methods ofjoints• to analyze the forces actingon the members of framesand machines composed ofpin-connected members
problem 02
6 truss structures
example 6.1
6 truss structures
example 6.1
problem 6.5
6 truss structures
8 m
146 frame structures
• to show how to determinethe forces in the members ofa truss using the methods ofjoints• to analyze the forces actingon the members of framesand machines composed ofpin-connected members
problem 03
example 6.9
6 frame structures
example 6.9
6 frame structures
example 6.9
6 frame structures
AHAV
BHBV
FV
FH
W2W1
FH
d2 4/d2 4/d2 4/d2 4/
d1
AHAV
BH
BV
FV
FH
W2W1
FH
d2 4/d2 4/d2 4/d2 4/
d1
6 frame structures
example 6.9
problem 6.74
6 frame structures
3 m 2 m
150 N
100 N
2 m
207 shear & moment diagrams
• to show how to use themethod of sections todetermine the internalloadings in a member• to generalize this procedureby formulating equations thatcan be plotted so that theydescribe the internal shearand moment throughout amember
problem 04
7 shear & moment diagrams
example - simply supported beam
V [N]
M [Nm]
7 shear & moment diagrams
example 7.6
7 shear & moment diagrams
example 7.6
M(x)
7 shear & moment diagrams
statics of the hanging problemidealized free body diagram
W0
V = W
M = W · l
V(x) shear diagram
moment diagram
Mmin = -W · [l-x]
V = W = const.x
x
cantiliver beam
+
-
7 shear & moment diagrams
examples
7 shear & moment diagrams
examples
7 shear & moment diagrams
examples
7 shear & moment diagrams
examples
problem 7.78
7 shear & moment diagrams
8 m 4 m
700 N100 N/m
6 m
800 Nm
308 friction
• the heat generated by theabrasive action of friction canbe noticed when using thisdrinder to sharpen a metalblade• friction is a force thatrisists the movement of twocontacting surfaces relativeto one another• friction always acts tan-gent to the surface and is di-rected opposite to a possiblemotion
problem 05
8.2 problems involving dry friction
slipping & tipping
pushing on the uniform crate of weight W sitting on a rough surface. if themagnitude 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 = µs · M, or, if the surface is very rough with large µs, the resultant forcemoves 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.
328.2 problems involving dry friction
example 8.1
338.2 problems involving dry friction
example 8.1
348.2 problems involving dry friction
example 8.3
358.2 problems involving dry friction
example 8.3
368 friction
examples
378 friction
examples
388 friction
examples
398 friction
examples
409. center of gravity and centroid
• to discuss the concept of thecenter of gravity, center ofmass, and centroid• to show how to determinethe center of gravity and cen-troid for a system of par-ticles• to show how to determinethe center of gravity and cen-troid for composite bodies
problem 06
419.2 composite bodies
example 9.10
429.2 composite bodies
example 9.10
43… and our all time hero is…
mr equilibrium: isaac newton
powered by jacob
44final exam
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, 530-127, 120 min• makeup final (w/extra time) sun, 05/05/11, 3:00-6:00pm, 530-127, 180 min• closed book, closed notes, one page cheat sheet• bring your calculators!• last minute office hours sun, 05/05/11, 3:00-6:00, @ (but not in) 530-127