in a couple of lines of math, derive an expression for the critical
minimum angle at which total internal reflection that can occur
when light is incident from higher refraction index to lower
refraction index material. answer should be in terms of indicies of
refractions of these materials
Derive the elastic lateral torsional buckling formula of a
cantilever I-beam subject to a concentrated load at the end. The
load is applied at the top of the flange.
A 16-ft long pin-pin column has to support a dead load of 100
kips and a live load of 280 kips. Using column selection tables
from the Steel Manual select columns for the given shapes. All
selections should be structurally safe and least weight.
50-ksi W-section (W10, 12, 14 only)
35-ksi pipe (standard, x-strong, xx-strong)
46-ksi rectangular HSS
46-ksi square HSS
42-ksi round HSS
A 16-ft long pin-pin column has to support a dead load of 100
kips and a live load of 280 kips. Using column selection tables
from the Steel Manual select columns for the given shapes. All
selections should be structurally safe and least weight.
50-ksi W-section (W10, 12, 14 only)
35-ksi pipe (standard, x-strong, xx-strong)
46-ksi rectangular HSS
46-ksi square HSS
42-ksi round HSS
A pin-ended chord of a truss is treated as a member in a braced
frame. Its length is 12 ft. It must carry a tension dead load of 95
kips and live load of 180 kips along with a uniformly distributed
transverse dead load of 1.2 kips/ft and live load of 2.3 kips/ft.
Will a W8x67, A992 member be adequate if the transverse load is
applied to put the bending about the strong axis? Determine by (a)
LRFD and (b)...
In class we derived the valuation formula for a Receiver FRA. a)
Derive the formula for a Payer FRA in the same way, in terms of
zero-coupon bonds. b) Setting the contract value equal to zero,
rearrange and solve for K.
a. State the ampere circuital law
b. Derive expression for inductance of a Toroid?
c. Derive the set of Maxwell’s equations with
solutions in the integral form from the
fundamental laws of a good conductor?
d. Derive the expression for torque developed in a
rectangular closed circuit current (I) in a
uniform field?