Electricity for Refrigeration, Heating, and Air Conditioning
9th Edition
ISBN: 9781285179988
Author: Russell E. Smith
Publisher: Cengage Learning
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The vertical deflection at Point B can be calculated as
( The following choices are provided in units of mm and rounded to three decimal places ; the downward deflection is negative and upward deflection is positive. )
Select one:
1. 1703.065
2. -1703.065
3. -2043.679
4.1362.452
5. -1362.452
6. 2043.679
The second moments of area about z-axis, /z, and the second moments of area about y-axis, ly, can be calculated as
Select one:
O 1. I = Iz
○ 2. Ly
○ 3.
○ 4.
○ 5.
=
=
Iz =
*D'
64
I₁ = D, Iz
Ly
Ly
=
32
*D'
=
=
3
Iz =
*D'
32
=
*D'
O 6. Iy=D,
Ly = D², Iz =
32
O 7.
Ly = Iz
D
=
64
32
[If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.]
Step -2
Which equation in the following choices most accurately represents the functional relationship between the value of the slope
O (Units: Radian) at half length (x = L/2) of the beam and the second moment of area about z-axis, Izz (Units: mm²), of the cross section?
(Please note that " X = L/2" is the same as "X = L ÷ 2" .)
Select one:
O 1.0 448787.925/Izz
O 2.0 279167.292/Izz
O 3.0 38871.395/Izz
O 4.0 114847.304/Izz
O 5.0 176688.160/Izz
O 6.0 609574.150/Izz
O 7.0 70675.264/Izz
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- Use the principle of virtual work to determine the vertical deflection and rotation at tip (Point B) of the cantilever shown below. (L=6847 mm, q = 5331 N/mm, M = 1408549 N.mm, and El = 8.6 x 1014 N. mm²) q Y M X A ΕΙ B L Step -1 Let the coordinates defined with origin located at B and x-axis pointing to the Left and Y-axis pointing upward. The bending moment, M (Units: N.mm), in the beam as a function of spatial coordinate x(Units: mm) can be most accurately described by Select one: 1. M=1126839.200 +2132.400*x*x 2. M=-1408549.000 - 3198.600*x*x 3. M=-1408549.000-2665.500*x*x 4. M=-1408549.000-2132.400*x*x 5. M= -1408549.000+2665.500*x*x 6. M= 1408549.000 + 2665.500*x*x 7. M= 1408549.000-2665.500*x*xarrow_forwardCalculate the principal stress σ at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places Select one: O 1.5363.64 O 2. 12872.727 3.9118.182 4. 10727.273 5. 16090.909 6. 2681.818arrow_forwardQuestion2 The mission profile for a jet driven aircraft consists of the following segments: engine start and warm-up, taxi, take-off, climb to the cruise altitude of 35000 ft, descend to 10000 ft, one hour loiter at this altitude at 60% of the cruise speed, flight at loiter speed and altitude to an alternate airport (100 nm), descend to landing approach condition followed by the final landing, taxi and shutdown. The cruise Mach number is 0.8. No provisions are made for the reserved fuel or any trapped oil and fuel. The aircraft carries 200 people (including pilots and the cabin crew) at 175 lb each and 90 lb baggage each. This aircraft has a wing area of 2000 ft² L/D at cruise L/D at 10000ft flight Table Q2 20 16 0.43 lb/hr/lb 0.50 lb/hr/lb C: Specific Fuel Consumption at cruise: C: Specific Fuel Consumption at 10000 ft flight: Weight ratios Engine Start and warm-up Taxi Take-off Climb Descent Landing, taxi and shutdown 0.992 0.996 0.996 0.996 0.992 0.992 Question 2 continues on the…arrow_forward
- Calculate the principal stress σ1_at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: O 1.25745.455 O 2. 32181.818 3. 21454.545 4. 17163.636 5. 12872.727arrow_forwardCalculate the Von-Mises effective stress at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places Select one: O 1.27870.272 O2. 18580.181 3. 11148.109 O 4. 14864.145 O 5.22296.218arrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45°arrow_forward
- A close end tube of thin-walled circular section may be subjected to torque Tand internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as σ = T/(2πR²t), where the mean radius of the cross section is R(i.e., the radius of the centreline of the wall) and the wall thickness is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>> t, you can approximately assume that the internal radius of the tube is equal to Rin the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Ozz бее буг Z бее T бел Figure Q3 Centreline of the wall Rarrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45° Aarrow_forward(If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.) Step-4 Which equation in the following choices most accurately represents the functional relationship between the value of the deflection, Vmax ( Units: mm) at the free end (XL) of the beam and the second moment of area about z-axis, Izz (Units: mm²) of the cross section ? (Please note that " X = L/2" is the same as "X = L ÷ 2" .) Select one: O 1. Vmax 1776823249.026 / Izz O 2. Vmax 516518386.345/Izz O 3. Vmax=743786476.336/Izz O 4. Vmax 1002045669.509/Izz O 5. Vmax 330571767.261/Izz O 6. Vmax 196276986.811 / Izz O 7. Vmax 1435921114.038/Izzarrow_forward
- The second moment of area about z-axis of the cross section, Izz ( Units: mm4) can be calculated as Select one: O 1. 2.081 x 107 ○ 2. 2.281x 107 ○ 3. 2.201 x 107 ○ 4. 1.348x 107 ○ 5. 1.466 x107 ○ 6. 1.966x107 O 7. 1.833 x 107 O 8. 1.109x 107arrow_forward[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel. (P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)] Step-3 The functional relationship between the change of the diameter, DD (units: mm), and wall thickness t(units: mm) can be most accurately expressed as Select one: O 1. DD-282.688/t O 2. DD=424.033/t O 3. DD=343.447/t 4. DD = 686.894/t O 5. DD=1696.130/t O 6. DD-228.965/t 7. DD=848.065/t 8. DD=1373.789/tarrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Z Figure Q2 a Figure Q2 b 45° Aarrow_forward
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