EBK ENGINEERING MECHANICS: DYNAMICS, SI
8th Edition
ISBN: 9781119047315
Author: Bolton
Publisher: VST
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Chapter 6.9, Problem 207RP
To determine
The linear momentum of the body about mass centre.
The angular momentum of body about mass centre.
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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
minimum pressure of zero and a maximum pressure p, of 535 kPa. For the specifications given in the table for the
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
Value
16 mm
25 mm
Internal diameter of the cylinder, C
0.8 m
Gasket sealing diameter, D
Bolt circle diameter, E
Outer diameter of the cylinder head, F
0.9 m
1.0 m
1.1 m
Bolt grade
ISO 10.9
Bolt diameter, d
10 mm
F
E
D
111
Find a suitable bolt length. Then, determine the bolt stiffness, material stiffness and stiffness constant of the joint.
The bolt length is
The bolt stiffness is
mm.
MN/m.
The material stiffness is |
The stiffness constant is
MN/m.
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
(a) Calculate the reaction forces R₁ and R2*
(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force.
200 mm
20 mm
10,000 N
-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.
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(c) Compare the average convection coefficient obtained in your analysis with the value for an isolated (single) element. Explain the difference between the results.
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Chapter 6 Solutions
EBK ENGINEERING MECHANICS: DYNAMICS, SI
Ch. 6.4 - Prob. 1PCh. 6.4 - In Prob. 6/1, if the plate is given a horizontal...Ch. 6.4 - The driver of a pickup truck accelerates from rest...Ch. 6.4 - A passenger car of an overhead monorail system is...Ch. 6.4 - The uniform box of mass m slides down the rough...Ch. 6.4 - The uniform slender bar of mass m and length L is...Ch. 6.4 - Prob. 7PCh. 6.4 - The frame is made from uniform rod which has a...Ch. 6.4 - Prob. 9PCh. 6.4 - Determine the value of P which will cause the...
Ch. 6.4 - The uniform 5-kg bar AB is suspended in a vertical...Ch. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - The 1650-kg car has its mass center at G....Ch. 6.4 - Prob. 18PCh. 6.4 - A cleated conveyor belt transports solid...Ch. 6.4 - The thin hoop of negligible mass and radius r...Ch. 6.4 - Determine the magnitude P and direction θ of the...Ch. 6.4 - The mine skip has a loaded mass of 2000 kg and is...Ch. 6.4 - The block A and attached rod have a combined mass...Ch. 6.4 - The homogeneous rectangular plate weighs 40 lb and...Ch. 6.4 - A jet transport with a landing speed of 200 km/h...Ch. 6.4 - Prob. 26PCh. 6.4 - Prob. 27PCh. 6.4 - The 30,000-lb concrete pipe section is being...Ch. 6.4 - Determine the maximum counterweight W for which...Ch. 6.4 - The 1800-kg rear-wheel-drive car accelerates...Ch. 6.4 - The experimental Formula One race car is traveling...Ch. 6.4 - Two pulleys are fastened together to form an...Ch. 6.4 - The uniform 20-kg slender bar is pivoted at O and...Ch. 6.4 - The figure shows an overhead view of a...Ch. 6.4 - The uniform 100-kg beam is freely hinged about its...Ch. 6.4 - The motor M is used to hoist the 12,000-lb stadium...Ch. 6.4 - Prob. 38PCh. 6.4 - Each of the two drums and connected hubs of 8-in....Ch. 6.4 - Determine the angular acceleration and the force...Ch. 6.4 - The uniform 5-kg portion of a circular hoop is...Ch. 6.4 - The 30-in. slender bar weighs 20 lb and is mounted...Ch. 6.4 - The half ring of mass m and radius r is welded to...Ch. 6.4 - The uniform plate of mass m is released from rest...Ch. 6.4 - The uniform slender bar AB has a mass of 8 kg and...Ch. 6.4 - Prob. 46PCh. 6.4 - Prob. 47PCh. 6.4 - Prob. 48PCh. 6.4 - Prob. 49PCh. 6.4 - Prob. 50PCh. 6.4 - Prob. 51PCh. 6.4 - Prob. 52PCh. 6.4 - Prob. 53PCh. 6.4 - Prob. 54PCh. 6.4 - The solid cylindrical rotor B has a mass of 43 kg...Ch. 6.4 - Prob. 56PCh. 6.4 - Prob. 57PCh. 6.4 - The uniform slender bar is released from rest in...Ch. 6.4 - Prob. 59PCh. 6.4 - Prob. 61PCh. 6.4 - The uniform steel I-beam has a mass of 300 kg and...Ch. 6.4 - The gear train shown operates in a horizontal...Ch. 6.4 - Prob. 64PCh. 6.4 - Prob. 65PCh. 6.4 - Prob. 66PCh. 6.4 - The uniform 72-ft mast weighs 600 lb and is hinged...Ch. 6.4 - The robotic device consists of the stationary...Ch. 6.4 - Prob. 69PCh. 6.4 - Prob. 70PCh. 6.5 - The uniform slender bar rests on a smooth...Ch. 6.5 - The 64.4-lb solid circular disk is initially at...Ch. 6.5 - Prob. 73PCh. 6.5 - Prob. 74PCh. 6.5 - Prob. 75PCh. 6.5 - Prob. 76PCh. 6.5 - Prob. 77PCh. 6.5 - Determine the angular acceleration of each of the...Ch. 6.5 - The solid homogeneous cylinder is released from...Ch. 6.5 - The 30-kg spool of outer radius ro = 450 mm has a...Ch. 6.5 - Repeat Prob. 6/80 for the case where the cable...Ch. 6.5 - The fairing which covers the spacecraft package in...Ch. 6.5 - Prob. 83PCh. 6.5 - Prob. 85PCh. 6.5 - The system of Prob. 6/20 is repeated here. If the...Ch. 6.5 - Prob. 87PCh. 6.5 - Prob. 88PCh. 6.5 - Prob. 89PCh. 6.5 - Prob. 90PCh. 6.5 - Prob. 91PCh. 6.5 - The truck, initially at rest with a solid...Ch. 6.5 - Prob. 93PCh. 6.5 - The uniform rectangular 300-lb plate is held in...Ch. 6.5 - Prob. 96PCh. 6.5 - Prob. 97PCh. 6.5 - Prob. 98PCh. 6.5 - The yo-yo has a mass m and a radius of gyration k...Ch. 6.5 - Prob. 100PCh. 6.5 - Prob. 101PCh. 6.5 - Prob. 102PCh. 6.5 - Prob. 103PCh. 6.5 - Prob. 104PCh. 6.5 - The connecting rod AB of a certain...Ch. 6.5 - Prob. 107PCh. 6.5 - The four-bar mechanism lies in a vertical plane...Ch. 6.5 - The Ferris wheel at an amusement park has an even...Ch. 6.6 - The slender rod of mass m and length l has a...Ch. 6.6 - The log is suspended by the two parallel 5-m...Ch. 6.6 - The assembly is constructed of homogeneous slender...Ch. 6.6 - Prob. 114PCh. 6.6 - Prob. 115PCh. 6.6 - The uniform semicircular bar of radius r = 75 mm...Ch. 6.6 - The homogeneous rectangular crate weighs 250 lb...Ch. 6.6 - The 24-lb disk is rigidly attached to the 7-lb bar...Ch. 6.6 - The two wheels of Prob. 6/78, shown again here,...Ch. 6.6 - The 15-kg slender bar OA is released from rest in...Ch. 6.6 - The light circular hoop of radius r contains a...Ch. 6.6 - Prob. 122PCh. 6.6 - The figure shows an impact tester used in studying...Ch. 6.6 - Prob. 124PCh. 6.6 - Prob. 125PCh. 6.6 - Prob. 126PCh. 6.6 - Prob. 127PCh. 6.6 - The uniform 40-lb bar with attached 12-lb wheels...Ch. 6.6 - Prob. 129PCh. 6.6 - The wheel consists of a 4-kg rim of 250-mm radius...Ch. 6.6 - The uniform slender bar ABC weighs 6 lb and is...Ch. 6.6 - Prob. 133PCh. 6.6 - The system is released from rest when the angle θ...Ch. 6.6 - The uniform 12-lb disk pivots freely about a...Ch. 6.6 - Prob. 137PCh. 6.6 - Prob. 138PCh. 6.6 - Prob. 139PCh. 6.6 - Prob. 140PCh. 6.6 - Prob. 141PCh. 6.6 - Prob. 142PCh. 6.6 - The homogeneous solid semicylinder is released...Ch. 6.6 - A small experimental vehicle has a total mass m of...Ch. 6.6 - Prob. 147PCh. 6.6 - The open square frame is constructed of four...Ch. 6.7 - The load of mass m is supported by the light...Ch. 6.7 - The uniform slender bar of mass m is shown in its...Ch. 6.7 - Prob. 151PCh. 6.7 - Prob. 152PCh. 6.7 - Prob. 153PCh. 6.7 - The load of mass m is given an upward acceleration...Ch. 6.7 - The cargo box of the food-delivery truck for...Ch. 6.7 - The sliding block is given a horizontal...Ch. 6.7 - Prob. 157PCh. 6.7 - Prob. 158PCh. 6.7 - Prob. 159PCh. 6.7 - Prob. 160PCh. 6.7 - The mechanical tachometer measures the rotational...Ch. 6.7 - Prob. 162PCh. 6.7 - Prob. 163PCh. 6.7 - Prob. 164PCh. 6.7 - Prob. 165PCh. 6.7 - Prob. 166PCh. 6.9 - Prob. 167RPCh. 6.9 - Prob. 168RPCh. 6.9 - Prob. 169RPCh. 6.9 - The frame of mass m is welded together from...Ch. 6.9 - Prob. 171RPCh. 6.9 - The cable drum has a mass of 800 kg with radius of...Ch. 6.9 - Prob. 173RPCh. 6.9 - Prob. 174RPCh. 6.9 - Prob. 175RPCh. 6.9 - Prob. 176RPCh. 6.9 - Prob. 177RPCh. 6.9 - The wad of clay of mass m is initially moving with...Ch. 6.9 - Prob. 179RPCh. 6.9 - Prob. 180RPCh. 6.9 - Prob. 181RPCh. 6.9 - Prob. 182RPCh. 6.9 - Prob. 183RPCh. 6.9 - Two small variable-thrust jets are actuated to...Ch. 6.9 - Prob. 185RPCh. 6.9 - Each of the two 300-mm uniform rods A has a mass...Ch. 6.9 - Prob. 187RPCh. 6.9 - The slender bar of mass m and length l is released...Ch. 6.9 - Prob. 189RPCh. 6.9 - Prob. 190RPCh. 6.9 - Prob. 191RPCh. 6.9 - Prob. 192RPCh. 6.9 - Prob. 193RPCh. 6.9 - Prob. 194RPCh. 6.9 - The 165-lb ice skater with arms extended...Ch. 6.9 - Prob. 196RPCh. 6.9 - Prob. 197RPCh. 6.9 - The body of the spacecraft weighs 322 lb on earth...Ch. 6.9 - Prob. 199RPCh. 6.9 - Prob. 200RPCh. 6.9 - Prob. 201RPCh. 6.9 - The uniform cylinder is rolling without slip with...Ch. 6.9 - Prob. 203RPCh. 6.9 - The 30-kg wheel has a radius of gyration about its...Ch. 6.9 - The mass m is traveling with speed v when it...Ch. 6.9 - Prob. 206RPCh. 6.9 - Prob. 207RPCh. 6.9 - Prob. 208RPCh. 6.9 - The nose-wheel assembly is raised by the...Ch. 6.9 - Prob. 210RPCh. 6.9 - Prob. 211RPCh. 6.9 - Prob. 212RPCh. 6.9 - Prob. 213RPCh. 6.9 - Prob. 214RPCh. 6.9 - Prob. 215RPCh. 6.9 - Prob. 216RPCh. 6.9 - Prob. 217RPCh. 6.9 - Prob. 218RPCh. 6.9 - Prob. 219RPCh. 6.9 - Prob. 220RPCh. 6.9 - The slender rod of mass m1 and length L has a...Ch. 6.9 - Prob. 222RPCh. 6.9 - Prob. 226RPCh. 6.9 - Prob. 228RPCh. 6.9 - Prob. 229RPCh. 6.9 - Prob. 230RP
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