Consider a 20-cm-thick large concrete plane wall ( k = 0.77 W/m .K) and subjected to convection on both sides with T ∞ 1 = 22 o C and h 1 = 8 W/m 2 .K on the inside and T ∞ 2 = 8 o C and h 2 = 12 W/m 2 .K on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the vall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall.
Consider a 20-cm-thick large concrete plane wall ( k = 0.77 W/m .K) and subjected to convection on both sides with T ∞ 1 = 22 o C and h 1 = 8 W/m 2 .K on the inside and T ∞ 2 = 8 o C and h 2 = 12 W/m 2 .K on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the vall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall.
Consider a 20-cm-thick large concrete plane wall
(
k
=
0.77
W/m
.K)
and subjected to convection on both sides with
T
∞
1
=
22
o
C
and
h
1
=
8
W/m
2
.K
on the inside and
T
∞
2
=
8
o
C
and
h
2
=
12
W/m
2
.K
on the outside. Assuming constant thermal conductivity with no heat generation and negligible radiation, (a) express the differential equations and the boundary conditions for steady one-dimensional heat conduction through the wall, (b) obtain a relation for the variation of temperature in the vall by solving the differential equation, and (c) evaluate the temperatures at the inner and outer surfaces of the wall.
A 10-kg box is pulled along P,Na rough surface by a force P, as shown in thefigure. The pulling force linearly increaseswith time, while the particle is motionless att = 0s untilit reaches a maximum force of100 Nattimet = 4s. If the ground has staticand kinetic friction coefficients of u, = 0.6 andHU, = 0.4 respectively, determine the velocityof the
A
1
0
-
kg box is pulled along P
,
N
a rough surface by a force P
,
as shown in the
figure. The pulling force linearly increases
with time, while the particle is motionless at
t
=
0
s untilit reaches a maximum force of
1
0
0
Nattimet
=
4
s
.
If the ground has static
and kinetic friction coefficients of u
,
=
0
.
6
and
HU
,
=
0
.
4
respectively, determine the velocity
of the particle att
=
4
s
.
Calculate the speed of the driven member with the following conditions:
Diameter of the motor pulley: 4 in Diameter of the driven pulley: 12 in Speed of the motor pulley: 1800 rpm
4. In the figure, shaft A made of AISI 1010 hot-rolled steel, is welded to a fixed
support and is subjected to loading by equal and opposite Forces F via shaft B.
Stress concentration factors K₁ (1.7) and Kts (1.6) are induced by the 3mm fillet.
Notch sensitivities are q₁=0.9 and qts=1. The length of shaft A from the fixed
support to the connection at shaft B is 1m. The load F cycles from 0.5 to 2kN and
a static load P is 100N. For shaft A, find the factor of safety (for infinite life) using
the modified Goodman fatigue failure criterion.
3 mm
fillet
Shaft A
20 mm
25 mm
Shaft B
25 mm
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