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