Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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For the belt drive shown below calculate the contact angle 0, if:
D = 100 mm;
d = 30 mm;
C = 300 mm.
A belt drive consists of a flat belt stretched between two pulleys of equal diameter, 400mm,
as shown in Figure Q1(a). The belt drive transmits a power of 250 W when the pulleys
rotate at 150 rpm. The coefficient of friction between the belt and the pulley is 0.3.
400 mm
Figure Q1(a)
a) What is the value of the belt speed?
b) What is the value of the effective tension transmitting power, T1-T2?
c) What is the value of the ratio between the tight and slack tension, T1/T2?
d) Use your answers to (b) and (c) to compute the individual values of T1 and T2.
The belt has a density of 0.005 kg/cm3 and has a rectangular cross-section with
width 5 cm and thickness 0.8 cm. The belt's maximum allowed stress is 50 N/cm2.
e) Does the belt exceed its maximum allowed stress? Justify your answer.
A cross belt drive has a 6 in. pulley driving a 48 in. pulley. The distance between their centers is 96 in. Find the length of the belt needed.
Please Show a clear and detailed solution (with illustration). Thank you!
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- One flange is attached to four 5x8 grade and M16 bolt connections with a total preload force of 80,000 N Calculate the factor of the boltarrow_forwardDetermine the belt length that would be applied to two sheaves with pitch diameters of 5.25 in. and 13.95 in. with a center distance of no more than 24 in. Compute the angle of wrap on both of the sheaves. If the small sheave is rotating at 1750 rpm, compute the linear speed of the belt.arrow_forwardFrom the example problem, assume this is to be connected by a CROSS BELT. A. Determine the diameters of all the step. B. Angle of contact for each pair of pulleys, C. belt length.arrow_forward
- Derive the expressions for A, B, & C in the given figure with the help of clear drawing and stepwise procedure. Also find the expression for the Length of the belt drives for open and closed belt drives.arrow_forwardThe open V-belt drive system shown in Figure 3 has a groove angle of 30° and is used as a speed booster. The input shaft rotates at 500 rpm and has a sheave with a pitch diameter of 7.218 in and the output shaft has a sheave with a pitch diameter of 3.609 in. The center distance between the two shafts is 15.01 in. The coefficient of friction is 0.25 and the maximum tension in the tight side of the belt is 300 lb. Determine; The maximum power transmitted by the belt if its mass is 0.04 slug/ft. [Hint: P 8 (T-T2)xv P in horse power (hp), T, and T, in (lb). v in (ft/min)]. 33000 Belts and Chains 4-d. sin-4-d, 20arrow_forwardThe open V-belt drive system shown in Figure 3 has a groove angle of 30° and is used as a speed booster. The input shaft rotates at 500 rpm and has a sheave with a pitch diameter of 7.218 in and the output shaft has a sheave with a pitch diameter of 3.609 in. The center distance between the two shafts is 15.01 in. The coefficient of friction is 0.25 and the maximum tension in the tight side of the belt is 300 lb. Determine; 1. The angular velocity of the output shaft. 2. The belt wrap on the input and output sheaves. 3. The belt perimeter length. 4. The length of span between sheaves. 5. The maximum power transmitted by the belt if its mass is 0.04 slug/ft. [Hint: P 8 (T-T2)xv P in horse power (hp), T, and T, in (lb). v in (ft/min)]. 33000 Belts and Chains 4-d. sin-4-d, 20 Figure 3arrow_forward
- A chain drive is desired to couple a gearmotor with a bucket elevator. The 40 hp. gearmotor will operate at 350 rpm and the elevator drive shaft must operate as close to 60 rpm as possible. Select an appropriate chain size, commercially available sprockets, and number of links for a chain. Also calculate the actual chain speed and the center distance.arrow_forwardASAParrow_forwardProblem: A pump is driven by an electric motor through an open type flat belt drive. Determine the belt specificationsfor the following data.Motor pulley diameter= 400 mmPump pulley diameter = 800 mmCoefficient of friction for motor pulley = 0.30Coefficient of friction for pump pulley = 0.35Center distance between the pulleys=2000 mmRotational speed of the motor=2000 rpmPower transmission = 40kWdensity of belt material = 1000 kg/m3 width of the belt=240mmthickness of the belt = 5mmarrow_forward
- Q: Figure (1) shows a schematic drawing of a countershaft which is part of the conveyor system and supports two belt pulleys (A & B). The belt tensions are parallel for pulley B and inclincd with angle 45° for pulley A. The pulley A reccives a power from a motor and then delivers to conveyor belt through pulley B. All dimensions are in mm. Required: Design the shaft as shown in figure (1) at points O, A, B & E. Pulley B Material Discharge Material Fead Pulley A Conveyor System -Tail Pulley Gear box- Sepport Belt Motor Drive balt 300 310.5 N 400 46.5 N 150 Figure (1) 250 dia.- 300 dia. 50 N Pulley A Pulley B 270 N Page 1 of 1arrow_forwardA shaft turning 150 RPM is to drive another shaft at 200 RPM. Find the diameters of the two pulleys, using integral number of inches for each diameter, to give as nearly as possible a belt speed of 2500 FPM. Please provide illustration.arrow_forwardHow do I find the axial forces on this countershaft? Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side.arrow_forward
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