A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by σ = 18 , 000 ε 1 + 300 ε 0 ≤ ε ≤ 0.03 ( σ = ksi) in which ε is nondimensional and σ has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by σ = 18 , 000 ε 1 + 300 ε 0 ≤ ε ≤ 0.03 ( σ = ksi) in which ε is nondimensional and σ has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
Solution Summary: The author illustrates a stress-strain diagram for the material. The elongation of the wire due to the forces is the Modulus of Elasticity.
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by
σ
=
18
,
000
ε
1
+
300
ε
0
≤
ε
≤
0.03
(
σ
=
ksi)
in which
ε
is nondimensional and
σ
has units of kips per square inch (ksi).
(a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P.
(c) IF the forces are removed, what is the permanent set of the bar?
(d) If the forces are applied again, what is the proportional limit?
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The crash cushion for a highway barrier consists of a
nest of barrels filled with an impact-absorbing material.
The barrier stopping force is measured versus the vehicle
penetration into the barrier. (Figure 1)
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Determine the distance a car having a weight of 4000 lb will penetrate the barrier if it is originally traveling at 55 ft/s when it
strikes the first barrel.
Express your answer to three significant figures and include the appropriate units.
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Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 12 MPa, and the
condenser pressure is 8 kPa. The mass flow rate of steam entering the turbine is 50 kg/s.
Determine:
(a) the net power developed, in kW.
(b) the rate of heat transfer to the steam passing through the boiler, in kW.
(c) the percent thermal efficiency.
(d) the mass flow rate of condenser cooling water, in kg/s, if the cooling water undergoes a temperature
increase of 18°C with negligible pressure change in passing through the condenser.
4. The figure below shows a bent pipe with the external loading FA
228 lb, and M₁ = M₂ = 1 kip-ft. The force Fernal loading FA = 300 lb, FB:
parallel to the y-axis, and
and yc = 60°.
= 125 lb, Fc
=
acts parallel to the x-z plane, the force FB acts
Cartesian resultan Coordinate direction angles of Fc are ac = 120°, ẞc = 45°,
a. Compute the resultant force vector of the given external loading and express it in
EST
form.
b. Compute the resultant moment vector of the given external loading about the origin, O,
and express it in Cartesian vector form. Use the vector method while computing the
moments of forces.
c. Compute the resultant moment vector of the given external loading about the line OA
and express it in Cartesian vector form.
:00 PM EST
k
ghoufran@buffaternal du
2 ft
M₁
A
40°
FA
M2
C
18 in
1 ft
Fc
25
houfran@bald.edu - Feb 19,
3 ft
FB
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