GGRA02H3 Lecture 12: lecture 12

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rosemuskrat776

2 Nov 2010

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Infrastructure, land uses (character and functionality) - locations. Tim hortons exports and purchases from other areas, materials linking you to places around the world thinking critically and geographically about globalization both as a concept and a reality. Concepts and methods of human geography globalization of economic activities, political institutions & processes, social/ cultural systems & values: key concepts: Space - how the spaces function, look, relate they way they do; what meaning. Knowledge of human geography, understanding processes & consequences of globalization. Current world issues, how they affect places/regions/ interact. Improved critical thinking, research and writing skills.

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I'm having trouble in my statics class with this design project. We are to design a pedestrian foot bridge/truss structure. We are given the length the bridge must span and can use any truss design we like. The truss must be able to support a load that can be placed anywhere on the bridge. I understand this concept and have calculated the forces of all members of the truss for the different load placements. My problem is, I'm not sure how to go about choosing the cross-sectional area of the truss members to minimize cost. I'm also not sure how much deformation is acceptable in a truss. We have a few different materials to choose from and I know the costs, value of E, and other properties of each material. I guess I'm just looking for some guidance as to how to choose the cross-sectional area of the members. Obviously the smallest area possible is optimal, but again, I'm not sure how much deformation is acceptable. I just keep going in circles. Any suggestions would be greatly appreciated! Thank you!

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1.Energetics of diatomic systems II.

An approximate expression for the potential energy of two

ions as a function of their separation is

= âke2r+br9 (1)

The first term is the usual Coulomb interaction,while the second term is introduced to account for

the repulsive effect of the two ions at smalldistances.

(a) Find b as a function of the equilibrium

spacing ro. (b) Calculate the potentialenergy of KCl at its equilibrium spacing (ro =0.279 nm)

2.Energetics of diatomic systems III. An expression forthe potential energy of two neutral atoms

as a function of their separation

r is given by the Morse potential,

= Poh1 â eâa(râro)i2 (2)

(a)

Show that ro is the atomic spacing and Po the dissociation energy.(b) Calculate the force

constant for small oscillations about r=ro.

3.Crystal lattice energy. Consider a one-dimensionalchain of alternating positive and negative

ions. Show that the potential energy associatedwith one of the ions and its interactions with the

rest of this hypothetical crystal is

(r) = âkee2r(4)

where the Madelung constant is

=2 ln 2 and r is the interionic spacing.

GGRA02H3 Lecture 12: lecture 12

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