A glass window of width W = 1 m and height H = 2 m is 5 mm thick and has a thermal conductivity of k g = 1.4 W/m ⋅ K . If the inner and outer surface temperaturesof the glass are 15°C and − 2 0 ° C , respectively, on acold winter day, what is the rate of heat loss through theglass? To reduce heat loss through windows, it is customary to use a double pane construction in whichadjoining panes are separated by an air space. If thespacing is 10 mm and the glass surfaces in contact withthe air have temperatures of 10°C and − 15 ° C ,whatis the rate of heat loss from a 1 m × 2 m window? Thethermal conductivity of air is k a = 0.024 W/m ⋅ K .
A glass window of width W = 1 m and height H = 2 m is 5 mm thick and has a thermal conductivity of k g = 1.4 W/m ⋅ K . If the inner and outer surface temperaturesof the glass are 15°C and − 2 0 ° C , respectively, on acold winter day, what is the rate of heat loss through theglass? To reduce heat loss through windows, it is customary to use a double pane construction in whichadjoining panes are separated by an air space. If thespacing is 10 mm and the glass surfaces in contact withthe air have temperatures of 10°C and − 15 ° C ,whatis the rate of heat loss from a 1 m × 2 m window? Thethermal conductivity of air is k a = 0.024 W/m ⋅ K .
Solution Summary: The author explains the heat loss through glass window and the thermal conductivity of air through the double pane glass windows.
A glass window of width
W
=
1
m
and height
H
=
2
m
is 5 mm thick and has a thermal conductivity of
k
g
=
1.4
W/m
⋅
K
. If the inner and outer surface temperaturesof the glass are 15°C and
−
2
0
°
C
, respectively, on acold winter day, what is the rate of heat loss through theglass? To reduce heat loss through windows, it is customary to use a double pane construction in whichadjoining panes are separated by an air space. If thespacing is 10 mm and the glass surfaces in contact withthe air have temperatures of 10°C and
−
15
°
C
,whatis the rate of heat loss from a
1 m
×
2 m
window? Thethermal conductivity of air is
k
a
=
0.024
W/m
⋅
K
.
PROBLEM 3.23
3.23 Under normal operating condi-
tions a motor exerts a torque of
magnitude TF at F. The shafts
are made of a steel for which
the allowable shearing stress is
82 MPa and have diameters of
dCDE=24 mm and dFGH = 20
mm. Knowing that rp = 165
mm and rg114 mm, deter-
mine the largest torque TF
which may be exerted at F.
TF
F
rG-
rp
B
CH
TE
E
1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure
mode and describe the observed plane of failure.
(b) Suppose a prismatic beam is subjected to equal and opposite couples as shown
in Fig. 1. Please sketch the deformation and the stress distribution of the cross
section.
M
M
Fig. 1
(c) Describe the definition of the neutral axis.
(d) Describe the definition of the modular ratio.
using the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottom
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