Determine the limiting values of the width a of
a waveguide of square cross section which...
Determine the limiting values of the width a of
a waveguide of square cross section which will transmit a wave of
length lambda in the TE10mode but not in the TE11 or
TM11 modes.
A polymer rod is tested to determine its viscoelastic response.
The rod’s cross-section is square with the side of 5mm. The rod’s
length before loading is 500mm. A tensile force of 500N is applied
to the rod and the rod’s length under load was measured as a
function of time. Instantly after applying the load, the rod is
stretched to 508mm. After 24 and 48 hour under load, the rod’s
length was measured as 550mm and 570mm, respectively. The load...
The cantilever is affixed to the free end of a square
cross-section piezoelectric (PZT) block, which is fixed at the
other end. Draw the schematic of the lumped-parameter model of the
cantilever-PZT system, obtain the mathematical model of this
mechanical system, and derive the lumped mass and stiffness of the
PZT knowing that la = 0.01 m (length of PZT block), a = 0.005 m
(side length of PZT cross-section), EPZT = 55 GPa (Young’s
modulus), ?PZT = 7500 kg/m3...
In a rectangular cross-section canal with a width of 10 m and
a depth of 1.5 m, uniform and
Continuous current monitoring is applied. The channel's
Manning coefficient includes 0.015. Base
because its slope is 0.0005. Considering this
information
a) By writing the numerical magnitude of water face slope and
energy line slope and its rationale
Set.
b) Calculate the speed of the current in the
channel.
c) Calculate the flow of the current in the channel.
d ) When...
The cross section of a non- overflow gravity dam is as given
below:
Top
width
- 12 m
R.L of top of
dam - + 215
m
R.L of bottom of dam
- + 104 m
FRL
- + 212 m
No tail water
Upstream face is vertical
Downstream face is vertical till a R.L
of + 205 m, after which it has a slope of 0.7 H:1 V up to the
base
Drain holes are located at a distance...
A wire of length L has a rectangular cross-section with height H
and width W. The wire has a hole all the way through it of area a.
The wire is made of material with constant resistivity ρ1 . A
battery with a known voltage is applied across the ends of the
wire. a. Find the electric field inside the material and the
current flowing through the wire. b. If the hole is totally filled
with a material that has...
An aluminum rod with a square cross section is 1.2 m long and
5.0 mm on edge. (a) What is the resistance between its ends? (b)
What must be the diameter of a cylindrical copper rod of length 1.2
m if its resistance is to be the same as that of the aluminum rod?
The resistivity of aluminum is 2.75 × 10-8 Ω·m and the resistivity
of copper is 1.69 × 10-8 Ω·m.
An irrigation canal with trapezoidal cross-section has the
following elements: bottom width = 2m, depth of water = 0.9m, side
slope 1.5H to 1V, slope of canal bed = 0.001, n = 0.025. The canal
will serve clay-loam rice land.
What is the hydraulic radius in meters?
What is the mean velocity in m/s?
If the canal will serve a clay-load rice land, determine the
area in hectares it can serve if the duty of water per hectare is
3L/s.
A direct shear test is conducted on a large specimen of dry sand
(square cross section with following dimensions: 7.5 cm x 7.5 cm x
3.0 cm [height], Mass = 271.0 g) with a normal stress of 500 kPa.
Failure occurred when the horizontal force was 1.96 kN. For the
same sand, tests were also conducted to determine the specific
gravity and the maximum and minimum void ratios. These tests
yielded the following results: Gs= 2.65, emax=0.80, emin = 0.45....
A glass with a square cross section when viewed directly from
above is filled with water. The glass is 8.0 cm wide on each side
and is 17.6 cm high. (a) Find the net horizontal force exerted by
the water on each side. (b) Find the net horizontal force exerted
by the water on all four walls of the glass. (c) Find the net force
exerted by the water on the bottom of the glass.
A precast square concrete pile 305x305 mm in cross section is
driven into ground using a steam hammer. If HE = 40 kN-m, E = 0.85,
WR = 35 kN, weight of pile cap = 3.0 kN, L = 25 m, n = 0.4, Ep = 21
x 106 kN/m2 , number of blows for the last 25.4 mm pile penetration
is 7 blows, unit weight of concrete = 24 kN/m3 . Compute the
allowable pile capacity using: (a) Modified...