Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 12.6, Problem 82P
Determine the magnitudes of its velocity and acceleration.
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Required information
A one-shell-pass and eight-tube-passes heat exchanger is used to heat glycerin (cp=0.60 Btu/lbm.°F) from 80°F to 140°F
by hot water (Cp = 1.0 Btu/lbm-°F) that enters the thin-walled 0.5-in-diameter tubes at 175°F and leaves at 120°F. The total
length of the tubes in the heat exchanger is 400 ft. The convection heat transfer coefficient is 4 Btu/h-ft²°F on the glycerin
(shell) side and 70 Btu/h-ft²°F on the water (tube) side.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Determine the rate of heat transfer in the heat exchanger before any fouling occurs.
Correction factor F
1.0
10
0.9
0.8
R=4.0 3.0 2.0.15 1.0 0.8.0.6 0.4 0.2
0.7
0.6
R=
T1-T2
12-11
0.5
12-11
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
(a) One-shell pass and 2, 4, 6, etc. (any multiple of 2), tube passes
P=
T₁-11
The rate of heat transfer in the heat exchanger is
Btu/h.
!
Required information
Air at 25°C (cp=1006 J/kg.K) is to be heated to 58°C by hot oil at 80°C (cp = 2150 J/kg.K) in a cross-flow heat exchanger
with air mixed and oil unmixed. The product of heat transfer surface area and the overall heat transfer coefficient is 750
W/K and the mass flow rate of air is twice that of oil.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Air
Oil
80°C
Determine the effectiveness of the heat exchanger.
In an industrial facility, a counter-flow double-pipe heat exchanger uses superheated steam at a temperature of 155°C to
heat feed water at 30°C. The superheated steam experiences a temperature drop of 70°C as it exits the heat exchanger.
The water to be heated flows through the heat exchanger tube of negligible thickness at a constant rate of 3.47 kg/s. The
convective heat transfer coefficient on the superheated steam and water side is 850 W/m²K and 1250 W/m²K,
respectively. To account for the fouling due to chemical impurities that might be present in the feed water, assume
a fouling factor of 0.00015 m²-K/W for the water side.
The specific heat of water is determined at an average temperature of (30 +70)°C/2 = 50°C and is taken to be
J/kg.K.
Cp=
4181
Water
Steam
What would be the required heat exchanger area in case of parallel-flow arrangement?
The required heat exchanger area in case of parallel-flow arrangement is
1m².
Chapter 12 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 12.2 - a. If s = (2t3) m, where t is in seconds,...Ch. 12.2 - Initially, the car travels along a straight road...Ch. 12.2 - Determine the time of flight when it returns to...Ch. 12.2 - A particle travels along a straight line with a...Ch. 12.2 - A particle travels along a straight line with a...Ch. 12.2 - Determine the time when the velocity of the...Ch. 12.2 - A particle travels along a straight line with an...Ch. 12.2 - A particle moves along a straight line such that...Ch. 12.2 - Determine the acceleration of the particle at s =...Ch. 12.2 - What is the particles velocity when t = 6 s, and...
Ch. 12.2 - If a particle has an initial velocity of v0 = 12...Ch. 12.2 - When t = 1 s, the particle is located 10m to the...Ch. 12.2 - When s =4ft, v = 3ft/s and when s = 10ft, v = 8...Ch. 12.2 - If s = 0 when t = 0, determine the particles...Ch. 12.2 - Determine the position of the particle when t = 6...Ch. 12.2 - Determine the average velocity, the average speed,...Ch. 12.2 - Determine (a) the displacement of the particle...Ch. 12.2 - If s = 1 m and v = 2 m/s when t = 0, determine the...Ch. 12.2 - Determine the particles velocity when s = 2 m, if...Ch. 12.2 - Then in another 5 s it moves from SB to SC = 6 m....Ch. 12.2 - How long will it take to reach a speed of 120...Ch. 12.2 - It takes about 3 s for a driver having 0.1%...Ch. 12.2 - Determine the total distance traveled when t = 10...Ch. 12.2 - If it is subjected to a deceleration of a = kv3,...Ch. 12.2 - Determine how far it travels before it stops. How...Ch. 12.2 - It takes the driver of car A 0.75 s to react (this...Ch. 12.2 - Determine the time needed for the rocket to reach...Ch. 12.2 - Afterwards it travels with a constant velocity for...Ch. 12.2 - If s = 4 ft when t = 0, determine the position of...Ch. 12.2 - Determine the distance traveled in three seconds,...Ch. 12.2 - If the bag is released with the same upward...Ch. 12.2 - If v = 20 m/s when s = 0 and t = 0, determine the...Ch. 12.2 - If v = 0, s = 1 m when t = 0, determine the...Ch. 12.2 - If the body is released from rest at a very high...Ch. 12.2 - At t 0,s 1 m and v = 10 m/s. When t 9 s,...Ch. 12.2 - Initially the particle falls from rest.Ch. 12.2 - Determine the distance between them when t = 4 s...Ch. 12.2 - Determine the height from the ground and the time...Ch. 12.2 - A sphere is fired downwards into a medium with an...Ch. 12.2 - If s = 0 when t = 0, determine the position and...Ch. 12.2 - Determine the elapsed time t 2v0/g from the...Ch. 12.2 - Neglecting air resistance, this acceleration is...Ch. 12.2 - Accounting for the variation of gravitational...Ch. 12.3 - Construct the v t graph for the same time...Ch. 12.3 - Construct the s t and a t graphs during the same...Ch. 12.3 - Construct the a s graph for the same interval.Ch. 12.3 - The sports car travels along a straight road such...Ch. 12.3 - Construct the v t graph for the time interval 0 ...Ch. 12.3 - Construct the s t graph during the time interval...Ch. 12.3 - A freight train starts from rest and travels with...Ch. 12.3 - The s-t graph for a train has been experimentally...Ch. 12.3 - Rocket A accelerates vertically at 20 m/s2 for 12...Ch. 12.3 - Construct the v-t and a-t graphs for the time...Ch. 12.3 - If the position of a particle is defined by s = [2...Ch. 12.3 - It then climbs in a straight line with a uniform...Ch. 12.3 - It can accelerate at 5 ft/s2 and then decelerate...Ch. 12.3 - Determine the total distance the car moves until...Ch. 12.3 - Determine the time t when the jet plane stops....Ch. 12.3 - The acceleration and deceleration that occur are...Ch. 12.3 - Draw the st and at graphs for the particle. When t...Ch. 12.3 - If the rocket starts at s = 0 when v = 0,...Ch. 12.3 - After 30 s the first stage, A, burns out and the...Ch. 12.3 - The flat part of the graph is caused by shifting...Ch. 12.3 - Determine the cars maximum velocity and the time t...Ch. 12.3 - Draw the v-s graph and determine the time needed...Ch. 12.3 - From the data, construct the s-t and a-t graphs...Ch. 12.3 - Determine the total distance the motorcycle...Ch. 12.3 - Determine the motorcycles acceleration and...Ch. 12.3 - Draw the s-t and a-t graphs. Also determine the...Ch. 12.3 - If it is subjected to the decelerations shown,...Ch. 12.3 - Determine the boats speed when s = 50 ft, 100 ft,...Ch. 12.3 - Construct the v-s graph.Ch. 12.3 - After 15 s the first stage A burns out and the...Ch. 12.3 - The speed of a train during the first minute has...Ch. 12.3 - If the elevator maintains a constant upward speed...Ch. 12.3 - Car A accelerates at 4 m/s2 for 10 s and then...Ch. 12.3 - If the position of a particle is defined as s =...Ch. 12.3 - Construct the st and at graphs for the motion....Ch. 12.3 - Draw the vs graph if v = 0 at s = 0.Ch. 12.3 - Determine the speed of the plane when it has...Ch. 12.3 - Construct the s-t and a-s graphs. Also, determine...Ch. 12.3 - Construct the a-s graph.Ch. 12.3 - Determine its acceleration when s = 100 m and when...Ch. 12.6 - Use the chain-rule and find and in terms of x, ...Ch. 12.6 - The particle travels from A to B. Identify the...Ch. 12.6 - The particle travels from A to B. Identify the...Ch. 12.6 - The particle travels from A to B. Identify the...Ch. 12.6 - If the x and y components of a particle's velocity...Ch. 12.6 - If its position along the x axis is x = (8t) m,...Ch. 12.6 - If x = (4t4) m, where t is in seconds, determine...Ch. 12.6 - A particle travels 3long a straight line path y =...Ch. 12.6 - If x = 8 m, vx = 8 m/s, and ax = 4 m/s2 when t = 2...Ch. 12.6 - If the box has x components of velocity and...Ch. 12.6 - Determine the maximum height h it reaches.Ch. 12.6 - The ball is kicked from point A with the initial...Ch. 12.6 - Determine the speed at which the basketball at A...Ch. 12.6 - Determine the range R.Ch. 12.6 - A ball is thrown from A. If it is required to...Ch. 12.6 - Determine the range R where it strikes the ground...Ch. 12.6 - If the velocity of a particle is defined as v(t) =...Ch. 12.6 - If r = 0 when t = 0, determine the displacement of...Ch. 12.6 - Determine the particles position (x, y, z) at t =...Ch. 12.6 - If the particle is at the origin when t = 0,...Ch. 12.6 - Determine the point B(x, y) where the water...Ch. 12.6 - Determine the particles position (x, y, z) when t...Ch. 12.6 - It takes 4 s for it to go from B to C and then 3 s...Ch. 12.6 - It takes 8 s for it to go from B to C and then 10...Ch. 12.6 - Determine the magnitude of the crates velocity and...Ch. 12.6 - If the x component of acceleration is...Ch. 12.6 - If the component of velocity along the x axis is...Ch. 12.6 - Determine the x and y components of its velocity...Ch. 12.6 - If it takes 3 s for it to go from A to C,...Ch. 12.6 - Determine the magnitudes of its velocity and...Ch. 12.6 - If the link moves with a constant speed of 10 m/s,...Ch. 12.6 - If it has a constant speed of 75 ft/s, determine...Ch. 12.6 - Determine the distance the helicopter is from...Ch. 12.6 - Determine the minimum initial velocity v0 and the...Ch. 12.6 - If it takes 1.5 s to travel from A to B, determine...Ch. 12.6 - Neglecting the size of the ball, determine the...Ch. 12.6 - The girl at A can throw a ball at vA = 10 m/s....Ch. 12.6 - If vA = 10 m/s, determine the range R if this...Ch. 12.6 - Determine the point (x, y) where it strikes the...Ch. 12.6 - If it strikes the ground at B having coordinates x...Ch. 12.6 - Determine the distance d to where it will land.Ch. 12.6 - Determine the speed at which it strikes the ground...Ch. 12.6 - Neglecting the size of the ball, determine the...Ch. 12.6 - If he strikes the ground at B, determine his...Ch. 12.6 - If he strikes the ground at B, determine his...Ch. 12.6 - Determine the horizontal velocity vA of a tennis...Ch. 12.6 - If the acceleration varies with time as shown,...Ch. 12.6 - Determine the range R, the maximum height h...Ch. 12.6 - Determine the maximum and minimum speed at which...Ch. 12.6 - Also, what is the corresponding angle A at which...Ch. 12.6 - Also, what is the corresponding angle A at which...Ch. 12.6 - Note that the first dart must be thrown at C( D)...Ch. 12.6 - Determine the time for a particle of water leaving...Ch. 12.6 - The snowmobile is traveling at 10 m/s when it...Ch. 12.6 - Water flows from the hose at vA = 80 ft/s.Ch. 12.6 - When the ball is directly overhead of player B he...Ch. 12.6 - If it takes 1.5 s to travel from A to B, determine...Ch. 12.7 - a. Determine the acceleration at the instant...Ch. 12.7 - Determine the magnitude of its acceleration when t...Ch. 12.7 - Determine the magnitude of its acceleration when s...Ch. 12.7 - If the car decelerates uniformly along the curved...Ch. 12.7 - Determine the direction of the crates velocity,...Ch. 12.7 - If the motorcycle has a deceleration of at =...Ch. 12.7 - The car travels up the hill with a speed of v =...Ch. 12.7 - If the acceleration of the automobile is 5 ft/s2,...Ch. 12.7 - Determine the maximum constant speed a race car...Ch. 12.7 - If it then increases its speed along a circular...Ch. 12.7 - Determine the speed of the particle and its normal...Ch. 12.7 - Determine the radius of curvature of the path at...Ch. 12.7 - If its speed is increased by v = (0.05t2) ft/s2,...Ch. 12.7 - If it then starts to increase its speed at v =...Ch. 12.7 - If they are at the positions shown when t = 0,...Ch. 12.7 - At the instant shown, A has a speed of 60ft/sand...Ch. 12.7 - If the acceleration is 2.5 m/s2, determine the...Ch. 12.7 - Determine the magnitudes of its velocity and...Ch. 12.7 - Determine the magnitude of the cars acceleration...Ch. 12.7 - If the car passes point A with a speed of 20m/s...Ch. 12.7 - The motorcycle is traveling at 1 m/s when it is at...Ch. 12.7 - Determine the magnitude of the acceleration of the...Ch. 12.7 - Determine the magnitudes of its velocity and...Ch. 12.7 - Determine the magnitudes of its velocity and...Ch. 12.7 - Determine the rate of increase in the train's...Ch. 12.7 - If it increases its speed along the circular track...Ch. 12.7 - Determine the time when the magnitude of...Ch. 12.7 - If its speed at t = 0 is 15 ft/s and is increasing...Ch. 12.7 - Determine the magnitude of the boat's acceleration...Ch. 12.7 - Determine the magnitudes of his velocity and...Ch. 12.7 - If it is initially traveling with a speed of 10...Ch. 12.7 - Determine the magnitude of its acceleration when...Ch. 12.7 - Determine the magnitude of the acceleration of the...Ch. 12.7 - Determine the rate of increase in the planes...Ch. 12.7 - Find the equation of the path, y = f (x), and then...Ch. 12.7 - The motorcycle is traveling at 40 m/s when it is...Ch. 12.7 - If the speed limit is posted at 60 km/h, determine...Ch. 12.7 - Prob. 140PCh. 12.7 - Determine the normal and tangential components of...Ch. 12.7 - Take =150 m.Ch. 12.7 - The motorcycle travels along the elliptical track...Ch. 12.7 - The motorcycle travels along the elliptical track...Ch. 12.7 - If at the instant shown the speed of A begins to...Ch. 12.7 - If the speed of B is increasing by (at)B = 4m/s2,...Ch. 12.7 - Also, specify the direction of flight, measured...Ch. 12.7 - Determine the magnitude of the acceleration of the...Ch. 12.7 - The train passes point B with a speed of 20 m/s...Ch. 12.7 - Determine the magnitude of the acceleration of the...Ch. 12.7 - Determine the particles acceleration when it is...Ch. 12.7 - When t = 8 s, determine the coordinate direction...Ch. 12.7 - Prob. 153PCh. 12.7 - If the speed of the crate at A is 15 ft/s, which...Ch. 12.8 - Determine the angular velocity of the radial line...Ch. 12.8 - A ball rolls outward along the radial groove so...Ch. 12.8 - Peg P is driven by the fork link OA along the...Ch. 12.8 - Peg P is driven by the forked link OA along the...Ch. 12.8 - Determine the magnitude of the velocity of the...Ch. 12.8 - At the instant = 45, the athlete is running with...Ch. 12.8 - A particle is moving along a circular path having...Ch. 12.8 - Determine the radial and transverse components of...Ch. 12.8 - Determine the components of its velocity and...Ch. 12.8 - If the propeller has a diameter of 6 ft and is...Ch. 12.8 - Express the velocity and acceleration of the...Ch. 12.8 - Determine the magnitudes of velocity and...Ch. 12.8 - If a particle moves along a path such that r = (2...Ch. 12.8 - If a particle moves along a path such that r =...Ch. 12.8 - At the instant shown, its angular rate of rotation...Ch. 12.8 - Determine the angular rate of rotation of the...Ch. 12.8 - Calculate this vector, a, in terms of its...Ch. 12.8 - such that its position as a function of time is...Ch. 12.8 - Determine the radial and transverse components of...Ch. 12.8 - Determine the magnitudes of the velocity and...Ch. 12.8 - Determine the velocity and acceleration of the...Ch. 12.8 - Determine the radial and transverse components of...Ch. 12.8 - If it is assumed that the hose lies in a...Ch. 12.8 - Two pin-connected slider blocks, located at B....Ch. 12.8 - Determine the magnitude of the acceleration of the...Ch. 12.8 - If the geometry of the fixed rod for a short...Ch. 12.8 - The platform rotates at a constant rate of 6...Ch. 12.8 - Determine the cars radial and transverse...Ch. 12.8 - Determine the cars radial and transverse...Ch. 12.8 - If it maintains a constant speed of v = 35 ft/s,...Ch. 12.8 - Determine the cylindrical components of the...Ch. 12.8 - Determine the maximum and minimum magnitudes of...Ch. 12.8 - The peg is constrained to move in the slots of the...Ch. 12.8 - When = 30, the angular velocity and angular...Ch. 12.8 - Determine the angular rate of rotation of the...Ch. 12.8 - A truck is traveling along the horizontal circular...Ch. 12.8 - Two pin-connected slider blocks, located at B,...Ch. 12.8 - Determine the magnitude of the acceleration of the...Ch. 12.8 - The searchlight on the boat anchored 2000 ft from...Ch. 12.8 - If the car in Prob.12-187 is accelerating at 15...Ch. 12.8 - If = 4 rad/s (constant), determine the radial and...Ch. 12.8 - if the particle has an angular acceleration = 5...Ch. 12.8 - If = (0.5t)rad, where t is in seconds, determine...Ch. 12.8 - Determine the magnitudes of the velocity and...Ch. 12.8 - When t = 0, = 0. Use Simpson's rule with n = 50...Ch. 12.8 - The double collar C is pin connected together such...Ch. 12.10 - Determine the velocity of block D if end A of the...Ch. 12.10 - Determine the velocity of block A if end B of the...Ch. 12.10 - Determine the velocity of block A if end B of the...Ch. 12.10 - Determine the velocity of block A if end F of the...Ch. 12.10 - Determine the velocity of car A if point P on the...Ch. 12.10 - Determine the velocity of cylinder B if cylinder A...Ch. 12.10 - Determine the velocity of car B relative to car A.Ch. 12.10 - Determine the magnitude and direction of the...Ch. 12.10 - Determine the distance between them when t = 4 s.Ch. 12.10 - If B is accelerating at 1200 km/h2 while A...Ch. 12.10 - If the end of the cable at A is pulled down with a...Ch. 12.10 - The motor at D draws in its cable at aD = 5 m/s2....Ch. 12.10 - If BC remains fixed while the plunger P is pushed...Ch. 12.10 - If the end of the cable at A is pulled down with a...Ch. 12.10 - Determine the displacement of the log if the truck...Ch. 12.10 - Determine the constant speed at which the cable at...Ch. 12.10 - Determine the time needed to lift the load 7 m.Ch. 12.10 - If the end A of the cable is moving at vA = 3 m/s,...Ch. 12.10 - Determine the time needed for the load at B to...Ch. 12.10 - Determine the velocity of the block.Ch. 12.10 - If block A of the pulley system is moving downward...Ch. 12.10 - Determine the speed of the block at B.Ch. 12.10 - Determine the speed of block A if the end of the...Ch. 12.10 - The motor draws in the cable at D with a constant...Ch. 12.10 - The pulley at A is attached to the smooth collar...Ch. 12.10 - When sB = 6ft. the end of the cord at B is pulled...Ch. 12.10 - Determine the velocity and acceleration of block B...Ch. 12.10 - Determine how fast the boat approaches the pier at...Ch. 12.10 - If the hydraulic cylinder H draws in rod BC at 2...Ch. 12.10 - The car at B is traveling at 18.5 m/s along the...Ch. 12.10 - When sA = 1.5 m, vB = 6 m/s. Determine the...Ch. 12.10 - If block B is moving down with a velocity vB and...Ch. 12.10 - Determine the velocity and acceleration of the...Ch. 12.10 - If their velocities are vA = 500km/h and vB =...Ch. 12.10 - If B is increasing its speed by 1200mi/h2, while A...Ch. 12.10 - The point of destination is located along the...Ch. 12.10 - If vA = 40ft/s and vB = 30 ft/s. determine the...Ch. 12.10 - An instrument in the car indicates that the wind...Ch. 12.10 - If vA = 10m/s and vB = 15m/s, determine the...Ch. 12.10 - At the same instant, car B is decelerating at 250...Ch. 12.10 - At the instant shown, A has a speed of 90ft/sand...Ch. 12.10 - If raindrops fall vertically at 7 km/h in still...Ch. 12.10 - If B is increasing its velocity by 2 m/s2, while A...Ch. 12.10 - If A is increasing its speed at 4 m/s2, whereas...Ch. 12.10 - Compute the terminal (constant) velocity vr of the...Ch. 12.10 - He wishes to cross the 40-ft-wide river to point...Ch. 12.10 - Determine the magnitude and direction of the...Ch. 12.10 - At the instant the ball is thrown, the player is...Ch. 12.10 - At the instant the ball is thrown, the player is...Ch. 12.10 - Determine the constant speed at which the player...Ch. 12.10 - At this same instant car B travels along the...Ch. 12.10 - If you measured the time it takes for the...Ch. 12.10 - Determine its maximum acceleration and maximum...Ch. 12.10 - Originally s0 = 0.Ch. 12.10 - A projectile, initially at the origin, moves along...Ch. 12.10 - Determine the acceleration when t = 2.5 s, 10 s,...Ch. 12.10 - If it takes 3 s to go from A to B, and then 5 s to...Ch. 12.10 - From a videotape, it was observed that a player...Ch. 12.10 - The truck travels in a circular path having a...Ch. 12.10 - If the car starts from rest when = 0, determine...Ch. 12.10 - Determine the magnitude of the particles...Ch. 12.10 - Determine the time needed for the load at B to...Ch. 12.10 - If their velocities are vA = 600 km/h and vB = 500...
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- A single-pass crossflow heat exchanger is used to cool jacket water (cp = 1.0 Btu/lbm.°F) of a diesel engine from 190°F to 140°F, using air (Cp = 0.245 Btu/lbm.°F) at inlet temperature of 90°F. Both air flow and water flow are unmixed. If the water and air mass flow rates are 85500 lbm/h and 400,000 lbm/h, respectively, determine the log mean temperature difference for this heat exchanger. Assume the correction factor F to be 0.92. Air flow (unmixed) Water flow (unmixed) The log mean temperature difference of the heat exchanger is °F.arrow_forwardusing the theorem of three moments, find all the reactions and supports, I need concise calculations only. the answers are at the bottom, I need concise steps and minimal explanationsarrow_forwardIn an industrial facility, a counter-flow double-pipe heat exchanger uses superheated steam at a temperature of 155°C to heat feed water at 30°C. The superheated steam experiences a temperature drop of 70°C as it exits the heat exchanger. The water to be heated flows through the heat exchanger tube of negligible thickness at a constant rate of 3.47 kg/s. The convective heat transfer coefficient on the superheated steam and water side is 850 W/m²K and 1250 W/m²K, respectively. To account for the fouling due to chemical impurities that might be present in the feed water, assume a fouling factor of 0.00015 m² K/W for the water side. The specific heat of water is determined at an average temperature of (30+70)°C/2 = 50°C and is taken to be Cp J/kg-K. Water Steam Determine the heat exchanger area required to maintain the exit temperature of the water to a minimum of 70°C. The heat exchanger area required isarrow_forward
- Stress, ksi 160 72 150- 140 80 70 ༄ ྃ ༈ ཎྜ རྦ ༅ ཎྜ ྣཧྨ ➢ 130 120 110 100 90 2.0 2.8 3.6 4.4 5 Wire diameter, mm 6.0 6.8 2 7.6 8.4 Compression and extension springs. ASTM A227 Class II Light service Average service 0.020 0.060 0.100 0.140 0.180 0.220 0.260 0.300 0.340 0.380 0.420 0.460 0.500 Wire diameter, in Torsional stress due to initial tension, ksi 10 ४ 20 Preferred range 100 Stress, MPa 9.2 10.0 10.8 11.6 12.4 1100 1035 965 895 825 760 Severe service 690 620 550 50 150 3456789 10 11 12 13 14 15 16 Spring index, C = DJD FIGURE 18-21 Recommended torsional shear stress in an extension spring due to initial tension (Data from Associated Spring, Barnes Group, Inc.) 50 200 485 Stress, MPaarrow_forwardBolted Joint Design Bolted Frames Total Force due to door weight: P = 240 lb Number of Bolts: N = Distance to Bolt C/L: a = 4 N/A Bolt Material - Allowable shear stress of bolt material: T₂ = x Distance from Bolt centroid to bolt: x = y Distance from Bolt centroid to bolt: y = Degrees per Radian- Results y-Load on each bolt: F, = Moment resisted by bolt pattern: M = Radial distance from Bolt centroid to bolt: r = Sum squares of all radial distances: Σr² Force on each bolt to resist moment: F, - Angle for force composition: e= X-Force on each bolt to resist moment: F- y-Force on each bolt to resist moment: Fly Total y-Force on each bolt: Fy = Resultant force on bolt 1: R₁ = Required shear stress area for a bolt: A₂ = ASTM Grade A307 Steel 10,000 0 psi from Table 20-1 3.0 57.296 in degrees lb per bolt lb-in Formula FS-P/N M-Px XB r = (x² + y²)0.5 in² Σ 4r² Mr F₁ = Στ lb degrees lb lb lb Minimum Bolt Diameter: Din = Rounded up Bolt Diameter: D = 55 P. 1.5 in 2 in (3x) 1 in This bracket…arrow_forwardUniversity of Babylon Collage of Engineering/ Al-Musayab Department of Automobiles Final Examination/ Stage: 3rd Notes: Answer 4 questions only 2023-2202 Subject: Theory of vehicles Date: 2023\06\10-Saturday Time: Three Hours Course 2nd Attempt 1st Q1: A Hooke's coupling connects two shafts whose axes are inclined at 30°. The of the driven shaft? Find the maximum value of retardation or acceleration and driving shaft rotates uniformly at 600 rpm. What are the extreme angular velocities state the angle where both will occur. (12.5 Marks) Q2: Four masses, A, B, C, and D), revolve at equal radii and are equally spaced along a shaft. The mass B is 7 kg, and the radius of C and D make angles of 90° and 240°, respectively, with the radius of B. Find the magnitude of the masses A, C, and D and the angular position of A so that the system may be completely balanced. (12.5 Marks) Q3: A cam has straight worked faces that are tangential to a base circle of diameter 90 mm. The follower is a roller…arrow_forward
- Problem 18-26 Added Extension Springs Spring Material ASTM A227 Modulus of Elasticity of the Material in Shear: G 1.150E+07 psi Average Service Max Operating Load: F₁ = 100 lb Max Length between attachment points: L₁ = 60.00 in 20.00 lb 26.00 1.400 Min Operating Load: F₁ = Min Length between attachment points: L₁ = Maximum Outside Diameter = in in Results Note: you select a wire diameter from the "US steel wire gage" column in table 18-2 Formula k = AF/AL k = (F0-F1)/(Lo - L₁) Spring Rate: k = lb/in Assumed Trial Outside Diameter: OD = Assumed Trial Mean: D ma Assumed Design Stress in Spring: Tda in 1.070 in 102,000 psi Assumed Wahl Factor: K = 1.2 Calculated Wire Diameter: Dwa Actual Wire Diameter: Dw Actual outer diameter: OD = Actual inner diameter: ID= Spring Index: C = See Figure 18-8 Dw= [8KF Dm πTd 1/3 in 5' 5' 5' 5' This corresponds to US Steel 9 wire gage ID = Dm - Dw C = Dm/Dw 4C - 1 0.615 K = + 4C - с Wahl Factor: K = 8KFDm 8KFC T = TD πD Stress in Spring at F = Fo: To psi…arrow_forwardCHAIN DRIVE DESIGN Initial Input Data: Application: Garage Door Opener Drive type: AC Motor Driven machine Chain and Sprocket to pull the door up Degrees per Radian: 57.2958 degrees Sprocket Diameter: D = 1.690 in Number of strands: Chain number: 1 40 Service factor: 1.3 Table 7-10 No. of teeth Computed Data: Actual Motor Power Input: 0.000 hp Sprocket Speed (for sprocket attached to gear shaft) Design power: 0.00 rpm 0 hp 11 12 0.06 0.15 0.29 0.56 0.99 1.09 1.61 2.64 TABLE 7-7 Horsepower Ratings-Single Strand Roller Chain No. 40 0.500 inch pitch 10 25 50 100 180 200 300 500 700 900 1000 1: 0.06 0.14 0.27 0.52 0.91 1.00 1.48 2.42 3.34 4.25 4.70 ! 3.64 4.64 5.13 13 0.07 0.16 0.31 0.61 1.07 1.19 1.75 2.86 3.95 5.02 5.56 Design Decisions-Chain Type and Teeth Numbers: 14 Chain number: Use Table 7-7 Chain pitch: p = in 15 Number of Teeth: N = Per Table 7-7 16 0.08 0.20 0.39 0.75 1.32 1.46 2.15 3.52 0.07 0.17 0.34 0.66 1.15 1.28 1.88 3.08 0.08 0.19 0.36 0.70 1.24 1.37 2.02 3.30 4.55 5.80…arrow_forwardInput Data: Torque needed to overcome rolling friction in rollers, slides and other moving parts, except for Motor and Worm Gear the worm gear T₁ = Length of travel of door: Time for door to open or close: LD = 50 lb-in. 90 in t= 12.5 seconds Pitch diameter for chain sprocket: DPC 1.690 in Weight of Door: P = No. of worm threads: Nw = Worm Pitch diameter: Dw Diametral pitch: Pd Normal pressure angle: Degrees per Radian: Number of gear teeth: Calculated Data: Linear velocity of door and chain (in/sec): Linear velocity of door and chain (ft/min): Output Speed of Gear and Sprocket: Upward Force due to Weight of Door: Фо = = NG= 240 lb 2 1.250 in 12 14.5 degrees 57.2958 degrees 28 Vα= in/sec VC= ft/min NG = rpm FD lb Net Upward Force on Door: Fou lb Torque on gear ignoring rolling friction: TG = lb-in. Formula = FDU FD-2 x Fo (note: Fo is the Max Operating load of the extension springs). This is also the initial tension in the chain. TG = FDU X DPC/2 This is the also the torque on the…arrow_forward
- Q5/A: A car with a track of 1.5 m and a wheelbase of 2.9 m has a steering gear mechanism of the Ackermann type. The distance between the front stub axle pivots is 1.3 m. The length of each track arm is 150 mm, and the length of the track rod is 1.2 m. Find the angle turned through by the outer wheel if the angle turned through by the inner wheel is 30°. (6 Marks) Q5/B: Write True on the correct sentences and False on the wrong sentences listed below:- 1- In automobiles, the power is transmitted from the gearbox to the differential through bevel gears. 2- The minimum radius circle drawn to the cam profile is called the base circle. 3- The Proell governor, compared to the Porter governor, has less lift at the same speed. 4- The balancing of rotating and reciprocating parts of an engine is necessary when it runs at a slow speed. (6.5 Marks) ***Best of Luck *** جامعة بابل UNIVERSITY OF BABYLON Examiner: Mohanad R. Hameed Head of Department: Dr. Dhyai H. Jawadarrow_forwardUniversity of Babylon Collage of Engineering/ Al-Musayab Department of Automobiles Mid Examination/ Stage: 3rd Subject: Theory of Vehicles Date: 14 \ 4 \2025 Time: 1.5 Hours 2025-2024 Q1: The arms of a Porter governor are 250 mm long. The upper arms are pivoted on the axis of revolution, but the lower arms are attached to a sleeve at a distance of 50 mm from the axis of rotation. The weight on the sleeve is 600 N and the weight of each ball is 80 N. Determine the equilibrium speed when the radius of rotation of the balls is 150 mm. If the friction is equivalent to a load of 25 N at the sleeve, determine the range of speed for this position. Q2: In a loaded Proell governor shown in Figure below each ball weighs 3 kg and the central sleeve weighs 25 kg. The arms are of 200 mm length and pivoted about axis displaced from the central axis of rotation by 38.5 mm, y=238 mm, x=303.5 mm, CE 85 mm, MD 142.5 mm. Determine the equilibrium speed. Fe mg E M 2 Q3: In a spring loaded Hartnell type…arrow_forwardusing the theorem of three moments, find all the reactions and supports, I need the calculations onlyarrow_forward
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