Machine Design

3.64 KJ

During a punching process of 350 kg flywheel the speed varies from 200 rpm to 180 rpm with 1 m mean diameter. Determine the kinetic energy released by the flywheel.

3845.97 kg

A plate 200 mm wide and 25 mm thick with strength of 410 Mpa is to be shear along its width. During shearing process an 800 mm mean diameter flywheel changes its speed from 200 rpm to 180 rpm. Determine the weight of flywheel to be use.

30 mm

The energy required to punch a square hole from 20 mm thick plate is 10 KJ. If the ultimate strength of plate is 420 Mpa, determine the maximum sides of square that can be punched.

384 kN

A 1 mm mean diameter flywheel, 500 kg weight changes its speed from 220 rpm to 200 rpm during shearing process. What average force is needed to shear a 30 mm thick plate.

457.40 kg

The energy required to punch a hole is 3 KJ from a flywheel mean diameter of 800 mm that slows down from 3.3 rps to 3 rps during punching. If weight of arm and hub account 10% of rim weight, determine the rim weight.

69.72 mm

A flywheel has a total weight of 500 kg and the weight of arm and hub is 8% of total weight. It has a mean diameter of 1 m and width of 300 mm. Determine the thickness of the flywheel if density of material is 7000 kg/m3.

332.45 mm

A flywheel has a rim weight of 450 kg and mean radius of 450 mm. If the rim width is 5 times the rim thickness and material density is 7200 kg/m3, determine the width of flywheel.

95.23 mm

The power required to shear a plate 50 mm thick for 10 seconds is 5 Kw. If ultimate strength of plate is 420 Mpa. How wide should the plate be?

9.30 kJ

A 900 mm mean diameter flywheel has a width of 350 mm, 75 mm thick and density of 7100 kg/m3. Neglecting the weight of arm and hub, find the energy released if its speed changes from 280 rpm to 250 rpm.

46.70 kJ

A flywheel weighing 1000 kg has a radius of gyration of 1.5 m. The normal operating speed is 160 rpm and coefficient of fluctuation is 0.08, determine the energy released by the flywheel.

195.66 lbs

A 5 ft mean diameter flywheel has to absorb 3500 ft-lb of energy and maintain a coefficient of fluctuation of 0.09. If mean speed is 80 ft/sec, find the weight of flywheel.

824.67 kN

A mechanical press is used to punch 6 holes per minute on a 25 mm thick plate. The hole is 25 mm in diameter and the plate has an ultimate strength in shear of 420 MPa. The normal operating speed is 200 rpm and it slows down to 180 rpm during the process of punching. The flywheel has a mean diameter of one meter and the rim width is 3 times the thickness. Assume that the hub and arm account for 5% of the rim weight concentrated at the mean diameter and density of cast iron is 7,200 kg per cubic meter. Find:

The maximum force required to punched a hole

1.031 kW

A mechanical press is used to punch 6 holes per minute on a 25 mm thick plate. The hole is 25 mm in diameter and the plate has an ultimate strength in shear of 420 MPa. The normal operating speed is 200 rpm and it slows down to 180 rpm during the process of punching. The flywheel has a mean diameter of one meter and the rim width is 3 times the thickness. Assume that the hub and arm account for 5% of the rim weight concentrated at the mean diameter and density of cast iron is 7,200 kg per cubic meter. Find:

The power required to drive the press

9.71 kN

A mechanical press is used to punch 6 holes per minute on a 25 mm thick plate. The hole is 25 mm in diameter and the plate has an ultimate strength in shear of 420 MPa. The normal operating speed is 200 rpm and it slows down to 180 rpm during the process of punching. The flywheel has a mean diameter of one meter and the rim width is 3 times the thickness. Assume that the hub and arm account for 5% of the rim weight concentrated at the mean diameter and density of cast iron is 7,200 kg per cubic meter. Find:

The flywheel weight

118 mm

A mechanical press is used to punch 6 holes per minute on a 25 mm thick plate. The hole is 25 mm in diameter and the plate has an ultimate strength in shear of 420 MPa. The normal operating speed is 200 rpm and it slows down to 180 rpm during the process of punching. The flywheel has a mean diameter of one meter and the rim width is 3 times the thickness. Assume that the hub and arm account for 5% of the rim weight concentrated at the mean diameter and density of cast iron is 7,200 kg per cubic meter. Find:

The thickness of the rim

354 mm

A mechanical press is used to punch 6 holes per minute on a 25 mm thick plate. The hole is 25 mm in diameter and the plate has an ultimate strength in shear of 420 MPa. The normal operating speed is 200 rpm and it slows down to 180 rpm during the process of punching. The flywheel has a mean diameter of one meter and the rim width is 3 times the thickness. Assume that the hub and arm account for 5% of the rim weight concentrated at the mean diameter and density of cast iron is 7,200 kg per cubic meter. Find:

The width of the rim

1870 fpm

A short 61 mm diameter shaft transmits 120 Hp. Compute the linear speed of a pulley 55 cm diameter mounted on the shaft.

1.125 x 10^-6 m⁴

A hollow shaft has inner diameter of 0.035 m and outer diameter of 0.06 m. Determine the polar moment of inertia of the hollow shaft.

2282 rpm

Compute the speed of the gear mounted on a 52.5 mm diameter shaft receiving power from a driving motor with 250 Hp.

50 mm

A solid cylindrical shaft 48.2 cm long is used for a transmission of mechanical power at a rate of 37 KW running at 1760 rpm. The SS is 8.13 Mpa. Calculate the diameter.

1.14 deg

A hollow shaft with outside diameter of 14 cm and wall thickness of 0.8 cm transmits 200 Kw at 400 rpm. What must be the angular deflection of the shaft if the length is 5 meters? The material of the shaft is C4140 steel.

199 HP

A 3” diameter short shaft carrying 2 inches pulleys close to the bearings transmit how much power if the shaft makes 280 rpm.

0.250

A step shaft made of SAE 1117 steel with an ultimate strength of 69.7 ksi. The notch sensitivity factor is 0.00435 is the constant dependent upon the ultimate strength, check the radius stress raiser.

9,453.80 in-lbs

A flange coupling connects two 2” diameter shafts. The flanges are fitted with 6 bolts of SAE 1040 steel on a 7” bolt circle. The shafts runs at 300 rpm and transmits 45 hp. Assume a factor of safety of 5, ultimate tension of 70,000 psi, and ultimate shear of 55,000 psi. Determine: The torque transmitted

450.17 lbs

A flange coupling connects two 2” diameter shafts. The flanges are fitted with 6 bolts of SAE 1040 steel on a 7” bolt circle. The shafts runs at 300 rpm and transmits 45 hp. Assume a factor of safety of 5, ultimate tension of 70,000 psi, and ultimate shear of 55,000 psi. Determine: The force applied per bolt

0.228 in

A flange coupling connects two 2” diameter shafts. The flanges are fitted with 6 bolts of SAE 1040 steel on a 7” bolt circle. The shafts runs at 300 rpm and transmits 45 hp. Assume a factor of safety of 5, ultimate tension of 70,000 psi, and ultimate shear of 55,000 psi. Determine: The diameter of the bolt required

0.141 in

A flange coupling connects two 2” diameter shafts. The flanges are fitted with 6 bolts of SAE 1040 steel on a 7” bolt circle. The shafts runs at 300 rpm and transmits 45 hp. Assume a factor of safety of 5, ultimate tension of 70,000 psi, and ultimate shear of 55,000 psi. Determine: The thickness of flanged to be used

2.86

A flange coupling is to connect two 57 mm shafts. The hubs of the coupling are each 111 mm in diameter and 92 mm thick and the flange web are 19 mm thick. Six 16 mm bolts in a 165 mm diameter circle connect the flanges. The keyway is 6 mm shorter than the hub’s thickness and the key is 14 mm x 14 mm. Coupling is to transmit 45 kw at 160 rpm. For all parts, yield point value in shear is one-half the yield value which is 448 Mpa. Find the following: The factor of safety in bearing key

0.416 in

A spring sustain 200 ft-lb of energy with deflection of 3 in. Assume that the coil diameter is 7 times the wire diameter and allowable stress of 100,000 psi, determine the wire diameter.

800 lb

A weight of 100 lbs strikes a coil from a height of 18 inches and deflects the spring of 6 inches. Find the average force acting on the spring.

58.3 mm

Find the diameter of a steel shaft which will be used to operate a 110 Kw motor rotating at 5 rps if torsional stress is 90 Mpa.

A.

60.2 mm B. 58.3 mm C. 38.3 mm D. 46.2 mm 31.

0.21

Find the torsional deflection, in degrees, of a solid steel shaft, 110 mm OD x 1.4 m long subject to 3.1 x 106 N-mm torque. The torsional modulus of elasticity is 80,000 N/mm-mm.

0.20

Compute for the torsional deflection, in degrees, of a 110 mm diameter, 1.4 m long shaft subjected to a twist moment of 3 x 106 N.mm. The torsional modulus of elasticity is 83000 N/mm2.

6,300

A 102 mm diameter shaft is driven at 3000 rpm by a 300 hp prime mover. The shaft drives a 121.9 cm diameter chain sprocket having 85% output efficiency. Compute the torque in in-lb developed in the shaft.

199 HP

A 3 in diameter short shaft carrying pulleys close to the bearings transmit how much horsepower if the shaft makes 280 rpm?

4,500 N-m

A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m. Compute the torque if the shear stress is not to exceed 120 Mpa in N-m.

13.31 HP

A small countershaft is 1 1⁄2 inch in diameter and has an allowable stress of 8500 psi. Find the horsepower delivered by the shaft at a speed of 15.7 rad/s.

163 in-lb

Determine the torque received by the motor shaft running at 4250 rpm, transmitting 11 HP, through a 10 in diameter, 200 involute gear. The shaft is supported by the ball bearings at both ends and the gear is fixed at the middle of 8 in shaft length.

14.6 HP

A 16 ft lineshaft has no bending action except its own weight. What power in HP can the shaft deliver at a speed of 200 rpm. Consider that the torsional deflection will not exceed 0.08/ft length..

62

The torsional deflection of a SAE 1040 steel shaft is 0.80 in a length of 1⁄2 m. The shear stress is 69 Mpa. Compute the diameter of the shaft in millimeter. Steel modulus of elasticity is 79,300 Mpa or N/mm2.

1 5/16”

Compute the diameter of a solid shaft transmitting 75 Hp at 1800 rpm. The nature of the load and the type of service is such that the allowable SS based on pure torsion is 6000 psi..

3 in

The shaft is subjected to a steady load of 36,000 lbs at a shear stress of 10,000 psi. Compute the diameter of the said shaft in inches.

4530 psi

Compute the maximum unit shear in a 3 inches diameter steel shafting that transmits 24,000 in-lb of torque at 99 rpm.

2.35 in

Compute the linear shaft diameter to transmits 12 Hp at 180 rpm with torsional deflection of 0.08 degrees per foot length.

380

Compute the nominal shear stress at the surface in Mpa for a 40 mm diameter shaft that transmit 750 Kw at 1500 rpm. Axial and bending loads are assumed negligible. Torsional shearing stress is 28 N/mm2.

47.

A hollow shaft has inner diameter of 0.035 m and outer diameter of 0.06 m. Compute for the torque if the shear stress is not to exceed 120 Mpa in N-m.

A.

4500 B. 4300 C. 4100 D. 4150

48.

49. Find the thickness of a metal needed in the semi-spherical end of cylindrical vessel 0.70 meter in diameter subjected to an internal pressure of 2.7 N/mm2. The material is mild carbon steel and tensile stress is 69 N/mm.

A.

5.2 mm

B.

6.02 mm

C.

7.53 mm

D.

6.84 mm

50.

A rectangular key was used in a pulley connected to a line shaft with a power of 7.46 KW at a speed of 1200 rpm. If the shearing stress of the shaft and key are 30 Mpa and 240 Mpa,respectively: What is the diameter of the shaft?

A. 18.60 mm B. 21.60 mm

C. 26.60 mm D. 29.60 mm

51.

A rectangular key was used in a pulley connected to a line shaft with a power of 7.46 KW at a speed of 1200 rpm. If the shearing stress of the shaft and key are 30 Mpa and 240 Mpa,respectively: What is the length of the rectangular key if the width is one fourth of the shaft diameter?

A.

3.24 mm

B.

4.24 mm

C.

5.24 mm

D.

6.24 mm

52.

A spring sustain 200 ft-lb of energy with deflection of 3 in. Assume that the coil diameter is 7 times the wire diameter and allowable stress of 100,000 psi, determine the wire diameter.

A.

0.416 in

B.

0.321 in

C.

0.568 in

D.

0.672 in

53.

A weight of 100 lbs strikes a coil from a height of 18 inches and deflects the spring of 6 inches. Find the average force acting on the spring.

E.

600 lb

F.

700 lb

G.

800 lb

H.

900 lb

54.

A pulley is keyed to a 2 1⁄2 inches diameter shaft by a 5/8 x 7/16 in x 3 in flat key. The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The allowable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi, and 72 ksi, respectively. Determine: The torque that can be carried due to shearing stress of the key

A.

51,562.50 in-lbs

B.

61,562.50 in-lbs

C.

71,562.50 in-lbs

D.

81,562.50 in-lbs

55.

A pulley is keyed to a 2 1⁄2 inches diameter shaft by a 5/8 x 7/16 in x 3 in flat key. The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The allowable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi, and 72 ksi, respectively. Determine: The torque that can be carried due to compressive stress of key

A.

50,110.60 in-lbs

B.

52,110.60 in-lbs

C.

54,110.60 in-lbs

D.

56,110.60 in-lbs

56.

A pulley is keyed to a 2 1⁄2 inches diameter shaft by a 5/8 x 7/16 in x 3 in flat key. The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The allowable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi, and 72 ksi, respectively. Determine: The torque that can be carried by the shaft

A.

57,495.10 in-lbs

B.

67,495.10 in-lbs

C.

77,495.10 in-lbs D. 87,495.10 in-lbs

57.

A pulley is keyed to a 2 1⁄2 inches diameter shaft by a 5/8 x 7/16 in x 3 in flat key. The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The allowable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi, and 72 ksi, respectively. Determine: The torque that can be carried by the hub

A.

42,398.44 in-lbs

B.

44,398.44 in-lbs

C.

46,398.44 in-lbs

D.

48,398.44 in lbs

58. A pulley is keyed to a 2 1⁄2 inches diameter shaft by a 5/8 x

7/16 in x 3 in flat key. The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The allowable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi, and 72 ksi, respectively. Determine: The maximum torque the pulley can safely delivered

A.

42,398.44 in-lbs

B.

44,398.44 in-lbs

C.

46,398.44 in-lbs

D.

48,398.44 in lbs

59.

Two short shafts having identical diameters of 38.1 mm and rotating at 400 rpm are connected by a flange coupling having 4 bolts with a 100 mm bolt circle. The design shearing stress of the bolt is 12 Mpa and design compressive stress of the flange is 15 Mpa. What is the power transmitted by the short shaft?