A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42 MPa.

A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42 MPa.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.11P: ‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses...

See similar textbooks

Related questions

Q: The operators have noticed that the performance of the reactor is somewhat different to the design…

A: We frequently take materials for granted since they are so common. Despite this, they play an…

Q: Problem 1: Find the head loss due to friction in a pipe 300 m long and 150 mm in diameter when the…

Q: *17-7 Figure P17-1 shows a single short-shoe drum brake. Find its torque capacity and required…

Q: 5 kg of steam at 10 bar was sampled and passed to a barrel calorimeter whose water equivalent at…

A: We took a sample of 5 kg of steam at 10 bar and fed it into a barrel calorimeter with a 20 kJ/K…

Q: meter ab re the alcc ospheric E

Q: Using the velocity distribution for a laminar, incompressible flow of a Newtonian fluid in a long…

Q: Work output from the engine.

A: Given; Shown figure is a reversible cycle; data is given as; p2=450 KPa p1=300 KPaVolume is given…

Q: A engine develops power output for each two engine revolution. * Your answer It is the difference in…

Q: 21.313 kg per second of water at 0.03398675 kbarg and internal energy of 15000 kW is heated at…

Q: In a Rankine cycle, steam enters the turbine at 2.5 MPa and condenser at 50 kPa, what is the thermal…

A: Solution.jpg

Q: An engine operating on the air diesel cycle with k=1.3 has thermal efficiency of 63% and a cut-off…

Q: : Acetone (T 77°F) is flowing in a 6-inch SCH 40 pipe. The pressure taps on the flow nozzle shown…

Q: 0,JA centrifugal pump used to take water from reservoir to another through 800 m sength and 0.15 m…

A: Given: Length of the pipe→L=800 m Diameter of the pipe→D=0.15 m Head difference in both tanks→∆h=8 m…

Q: 7-74E A 12-ft-long, 1.5-kW cleetrical resistanee wire is made of 0.1-in-diameter stainless steel (k…

Q: What minimum thickness of the steel band can be used without exceeding a flexural stress of 320

Q: The speed of sound traveling through the sea is a function of temperature, salinity, and pressure.…

A: Given that, C=1449.2+4.67T-0.055T2+0.00029T3+1.34-0.01TS-35+0.016DC→Speed of sound,T→Temperatire…

Q: A hydraulic turbine generator was installed at a site 101 m below the free surface of a large water…

A: Given Data: The mass flow rate of water, m=859 kg/s Mechanical power, 800 kW Electrical power, 779…

Q: 150 mm 150 mm C B 400 mm 600 mm

Q: Given the image below, determine the ideal force diagram for the structure given the choices

A: According to the details provided in the question, we need to find the correct F.B.D. of the given…

Q: The torque of 100 kip - ft is applied in the 16-ft-long hollow steel shaft. Note that the inner…

Q: Water is flowing at a rate of 187 L/s through a 116 m horizontal pipe having a diameter of 335 mm.…

A: Given:Q=187 L/s =0.187 m3/sL=116 md=335 mm∆P=275 mm Hg

Q: d) A rigid tank of 1 m³ contains oxygen gas at 600 kPa, 127°C. By mistake, someone lets 0.5 kg flow…

Q: A system consisting of 2 kg of water initially at 100°C, 10 bar undergoes an internally reversible,…

A: Find the final pressure and work done by the system.

Q: 5- Replace the distributed loading with an equivalent resultant force, and specify its location on…

A: Find the equivalent resultant force and location from left end A.

Q: *12-92. Water is discharged from the hose with a speed of 40 ft/s. Determine the two possible angles…

Q: A hollow steel shaft used in a construction auger has outer diameter d2 = 7.8 in. and inner…

A: Given data:

Q: A newly purchased container that has a capacity of 1 m3 contains a mixture of liquid and steam in…

Q: Deposited P110,000 for 31 days. The net interest after deducting 20% withholding tax is P 795.67.…

A: Given Data P=110,000 n=31daya r=20%

Q: Consider a point in a structural member that is subjected to plane stresS. Normal and shear stress…

A: Given:Sx=600 psiSy=2900 psiSxy=790 psi

Q: A cylinder vessel filled with water with a 2m diameter and 5m high. It was rotated with uniform…

Q: A piston-cylinder assembly contains a two-phase liquid-vapor mixture of water with an initial…

Q: A refrigeration system is to be used to cool 45,000kg water for 32 Celsius to 19 Celsius in 5 hours.…

Q: a newly purchassed container that has a capacity of 1 cubic meter contains a mixture of liquid and…

Q: machine. The dimensions of the various links are as follows : OA = 200 mm; AB= 100 mm; OC= 400 mm ;…

A: NAB=60 rpmWAB=2πN/60 =6.283rad/slength of crank AB =100 mm=0.1mvelocity at B isVab=VB=WAB×AB…

Q: 1: Find the head loss due to friction in a pipe 300 m long and 150 mm in diameter when the discharge…

A: Given data as per question Length of pipe =300 m Diameter of pipe =150 mm =0.150 m Discharge =2.73…

Q: figure weighr be used at A if the shearing The members of the structure the 200 Ib/ft. De ter mine…

A: Given that: Weight of each member = 200 lb/ft Maximum allowable shear stress = 5000 psi Considering…

Q: Propose a mesh for a full cylinder hull (i.e. with end caps) with radius of 100 units and height of…

A: Given Cylinder hull Radius = 100 units Height = 1000 units To find Mesh

Q: A soft drink (mostly water) flows in a pipe at Asia Brewery with a mass flow rate that would fill…

A: As per our guidelines we are supposed to solve only 3 subparts if multiple subparts are asked .…

Q: N2 enters a steady-flow heat exchanger at 150 kPa, 10°C, and 100 m/s, and it receives heat in the…

Q: atmosphere. Water flows in the elbow at a rate of 0.03 m/s. The cross sectional area of the from the…

Q: A pump that is driven by a 7.5 hp motor takes water in at 720 degrees F and 5 psig and discharges it…

Q: 5 kg of steam at 10 bar was sampled and passed to a barrel calorimeter whose water equivalent at…

Q: What kind of system is compression molding machine? open, closed, or isolated? Explain.

A: Concept: Open system: There is exchange of both heat and mass transfer. Closed system:There is…

Q: A particle of mass m seconds. V (1). (i+t'S- Cost Te) meter/second kg is monng with velocity at any…

Q: What is the couple moment if F= 10 N and d= 2m. * d -F 20 N.m CW 20 N.m CCW -20 N.m CW -20 N.m cCW

Q: Instruction: Solve the following problems about deflections of beam using Double Integration Method.…

Q: Helium at 25°C and 110 kPa (absolute) flows into a copper tube (1-1/4-standard, type M) that is 10 m…

A: copper tube114 standard,type M Do=34.925 mm Di=32.791 mm Dnom=31.75 mm m˙=.02kg/s Helium viscosity…

Q: "17-1 Find the torque that a 2-surface, dry disk clutch can transmit if the outside and inside…

A: Write the formula for the transmitted torque by the clutch. T=23nμFR3-r3R2-r2 Here, n is the number…

Q: A 20 hp pump with a suction from an open reservoir (10 m above the pump) has a flow rate of 125…

Q: . A leather belt 125 mm wide and 6 mm thick, transmits power from a pulley 750 mm diameter which…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20
mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42
MPа.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?
A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
A punch for making a slotted hole in ID cards is shown in the figure part a. Assume that the hole produced by the punch can be described as a rectangle (12 mm X 3 mm) with two half circles (r = 1.5 mm) on the left and the right sides. If P = 10 N and the thickness of the ID card is 1 mm, what is the average shear stress in the card?
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
‘7.3-11 The stresses on an element are sx= -300 psi and sy= 600 psi. Find the maximum shear stresses on the element and show them on a sketch of a properly oriented clement.