Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 2, Problem 33P
To determine
The pressure when the mercury is at the elevation point A.
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The figure illustrates the nonpermanent connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using
73 bolts. A confined gasket seal has an effective sealing diameter D of 0.9 m. The cylinder pressure is cycled between a
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specific problem assigned, select a suitable bolt length from the preferred sizes. Use Table A-17 for calculation purposes.
Parameter
Head thickness, A
Cylinder thickness, B
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16 mm
25 mm
Internal diameter of the cylinder, C
0.8 m
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1.1 m
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F
E
D
111
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The bolt length is
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The material stiffness is |
The stiffness constant is
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Problem 3
A rotating shaft of 20 mm diameter is simply supported.
The shaft is loaded with a transverse load of 10 kN as shown in
the figure. The shaft is made from AISI 1095 hot-rolled steel. The
surface has been machined. The shaft operate at
temperature T = 450 °C. Consider a reliability factor of 95%.
Determine
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(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force.
200 mm
20 mm
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-50 mm-
C
A
B
R₁
Not to scale.
(c) Determine the critical location of the shaft and the maximum effective stresses,
(d) Calculate the static safety factor against yielding.
(e) Determined the endurance limit, adjusted as necessary with Marin factors.
(f)
Calculate the fatigue factor of safety based on achieving infinite life
(g)
If the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations, based on the ultimate
strength of the material at T = 450 °C.
An air duct heater consists of an aligned array of electrical heating elements in which the longitudinal and transverse pitches are SL = ST = 24 mm. There are 3 rows of elements in the flow direction (NL = 3) and 4 elements per row (NT = 4). Atmospheric air with an upstream velocity of 12 m/s and a temperature of 25°C moves in cross flow over the elements, which have a diameter of 12 mm, a length of 250 mm, and are maintained at a surface temperature of 350°C.
(a) Determine the total rate of heat transfer to the air and the temperature of the air leaving the duct heater.
(b) Determine the pressure drop across the element bank and the fan power requirement.
(c) Compare the average convection coefficient obtained in your analysis with the value for an isolated (single) element. Explain the difference between the results.
(d) What effect would increasing the longitudinal and transverse pitches to 30 mm have on the exit temperature of the air, the total heat rate, and the…
Chapter 2 Solutions
Fluid Mechanics (2nd Edition)
Ch. 2 - Prob. 1FPCh. 2 - The container is partially filled with oil, water,...Ch. 2 - The U-tube manometer is filled with mercury,...Ch. 2 - The tube is filled with mercury from A to B, and...Ch. 2 - The air pressure in the pipe at A is 300 kPa....Ch. 2 - Determine the absolute pressure of the water in...Ch. 2 - The bin is 1.5 m wide and is filled with water to...Ch. 2 - The bin is 2 m wide and is filled with oil to the...Ch. 2 - The 2-m-wide container is filled with water to the...Ch. 2 - Determine the resultant force of the water acting...
Ch. 2 - Determine the resultant force of the water acting...Ch. 2 - The tank is filled with water and kerosene to the...Ch. 2 - The 0.5-m-wide inclined plate holds water in a...Ch. 2 - Determine the resultant force the oil exerts on...Ch. 2 - Determine the resultant force the water exerts on...Ch. 2 - The tank has a width of 2 m and is filled with...Ch. 2 - Determine the horizontal and vertical components...Ch. 2 - The plate ABC is 2 m wide. Determine the angle θ...Ch. 2 - The cylindrical cup A of negligible weight...Ch. 2 - The 3-m-wide cart is filled with water to the...Ch. 2 - Prob. 21FPCh. 2 - Prob. 22FPCh. 2 - If the open cylindrical container rotates at ω = 8...Ch. 2 - Prob. 24FPCh. 2 - Prob. 1PCh. 2 - The oil derrick has drilled 5 km into the ground...Ch. 2 - Prob. 3PCh. 2 - Oxygen in a tank has an absolute pressure of 130...Ch. 2 - If the piezometer measures a gage pressure of 10...Ch. 2 - If the absolute pressure in a tank is 140 kPa,...Ch. 2 - The field storage tank is filled with oil. The...Ch. 2 - Prob. 8PCh. 2 - The closed tank was completely filled with carbon...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - The soaking bin contains ethyl alcohol used for...Ch. 2 - Prob. 12PCh. 2 - Prob. 13PCh. 2 - The tank is filled with water and gasoline at a...Ch. 2 - Prob. 15PCh. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - A liquid has a density that varies with depth h,...Ch. 2 - Prob. 22PCh. 2 - In the troposphere, which extends from sea level...Ch. 2 - Prob. 24PCh. 2 - A heavy cylindrical glass is inverted and then...Ch. 2 - Prob. 26PCh. 2 - Prob. 27PCh. 2 - Butyl carbitol, used in the production of...Ch. 2 - Determine the level h′ of water in the tube if the...Ch. 2 - Determine the pressures at points A and B. The...Ch. 2 - Determine the pressure at point C. The containers...Ch. 2 - Determine the difference in pressure pB − pA...Ch. 2 - Prob. 33PCh. 2 - Prob. 34PCh. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - A solvent used for plastics manufacturing consists...Ch. 2 - The inverted U-tube manometer is used to measure...Ch. 2 - Solve Prob. 2-37 if the top segment is filled with...Ch. 2 - The two tanks A and B are connected using a...Ch. 2 - Prob. 40PCh. 2 - Determine the height h of the mercury in the tube...Ch. 2 -
The micro-manometer is used to measure small...Ch. 2 - The Morgan Company manufactures a micro-manometer...Ch. 2 - Determine the difference in pressure pA − pB...Ch. 2 - The pipes at A and B contain oil and the...Ch. 2 - The vertical pipe segment has an inner diameter of...Ch. 2 - Prob. 47PCh. 2 - Prob. 48PCh. 2 - The storage tank contains oil and water acting at...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 -
Determine the critical height h of the water...Ch. 2 - A swimming pool has a width of 12 ft and a side...Ch. 2 - Prob. 53PCh. 2 - The uniform control gate AB is pinned at A and...Ch. 2 - Prob. 55PCh. 2 - Determine the critical height h of the water level...Ch. 2 - The gate is 2 ft wide and is pinned at A and held...Ch. 2 - The uniform rectangular relief gate AB has a...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The tide gate opens automatically when the tide...Ch. 2 - The bin is used to store carbon tetrachloride, a...Ch. 2 - Prob. 62PCh. 2 - Prob. 63PCh. 2 - The pressure of the air at A within the closed...Ch. 2 - The uniform plate, which is hinged at C, is used...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - Determine the placement d of the pin on the...Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - The tapered settling tank is filled with oil....Ch. 2 - Ethyl alcohol is pumped into the tank, which has...Ch. 2 - The bent plate is 2 m wide and is pinned at A and...Ch. 2 -
The tank is filled to its top with an industrial...Ch. 2 - Solve Prob. 20–72 using the integration...Ch. 2 - If the tank is filled with vegetable oil,...Ch. 2 -
If the tank is filled with vegetable oil,...Ch. 2 - Prob. 76PCh. 2 - Determine the resultant force acting on the...Ch. 2 - Solve Prob. 2-77 using the integration...Ch. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82PCh. 2 - Prob. 83PCh. 2 - Prob. 84PCh. 2 - Prob. 85PCh. 2 - Prob. 86PCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Prob. 89PCh. 2 -
The control gate ACB is pinned at A and rests on...Ch. 2 - Prob. 91PCh. 2 -
The uniform plate, which is hinged at C, is used...Ch. 2 -
The bent plate is 1.5 m wide and is pinned at A...Ch. 2 - Prob. 94PCh. 2 - Prob. 95PCh. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - The 5-m-wide overhang is in the form of a...Ch. 2 - Determine the resultant force that water exerts on...Ch. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - A quarter-circular plate is pinned at A and tied...Ch. 2 - Prob. 105PCh. 2 - The semicircular gate is used to control the flow...Ch. 2 - Prob. 107PCh. 2 - Plate AB has a width of 1.5 m and a radius of 3 m....Ch. 2 - Prob. 109PCh. 2 - Prob. 110PCh. 2 - Prob. 111PCh. 2 - Prob. 112PCh. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Prob. 117PCh. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - Prob. 120PCh. 2 - Prob. 121PCh. 2 - A glass having a diameter of 50 mm is filled with...Ch. 2 - Water in the container is originally at a height...Ch. 2 - Prob. 124PCh. 2 - Prob. 125PCh. 2 - Prob. 126PCh. 2 -
The hot-air balloon contains air having a...Ch. 2 - Prob. 128PCh. 2 - Prob. 129PCh. 2 - Prob. 130PCh. 2 - Prob. 131PCh. 2 - The truck carries an open container of water. If...Ch. 2 - Prob. 133PCh. 2 - The open rail car is 6 ft wide and filled with...Ch. 2 - Prob. 135PCh. 2 -
A large container of benzene is being transported...Ch. 2 - If the truck has a constant acceleration of 2...Ch. 2 - Prob. 138PCh. 2 - Prob. 139PCh. 2 - Prob. 140PCh. 2 - Prob. 141PCh. 2 - Prob. 142PCh. 2 - Prob. 143PCh. 2 - Prob. 144PCh. 2 - Prob. 145PCh. 2 - Prob. 146PCh. 2 - Prob. 147PCh. 2 - Prob. 3CPCh. 2 - Prob. 4CP
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