A 50-mm diameter is fastened to a pulley by means of 12 mm x 12 mm x 60 mm key, as shown in Figure E1-6. Determine the shear stress on a horizontal plane through the key if the pulley is to transmit a torque of 120 Nm.

A 50-mm diameter is fastened to a pulley by means of 12 mm x 12 mm x 60 mm key, as shown in Figure E1-6. Determine the shear stress on a horizontal plane through the key if the pulley is to transmit a torque of 120 Nm.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.12.3P: A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0...

See similar textbooks

Related questions

Q: Dynamics of Rigid Bodies A particle moves that is defined by the parametric equations given below…

Q: How does the automatic expansion valve respond to aload increase?

A: Expansion valves are the devices used to control the refrigerant flow in a refrigeration system.…

Q: A metal with an internal crack is loaded with a tensile stress of 20 MPa. If the crack length and…

A: Write the given data. σt=20 MPal=3.6×10-2 mmr=1.8×10-4 mmE=100 GPaγs=3.5 J/m2

Q: A car starts from rest and travels along a straight track such that it accelerates at 6 m/s2for 12 s…

Q: An extruder is expected to produce 4kg of filament per hour, the barrel has a diameter of 19.05mm…

A: The material that gets the deformation of plastics under the action of various forces and causes the…

Q: The 250 x 250 x 1.100-mm oak [E = 12 GPa] block (2) shown is reinforced by bolting two 7 x 250 x…

Q: Problem 1: The figure presented below shows a grooved rotating shaft with a ground surface finish…

Q: m₂ = 0.70 m₂ = 0.40 (a) 37° Stickman provides F Find F when: a) to break free. @ 20.kg b) to move…

A: (a) for break free ; Fapplied=f=μsmgcosθ=0.7×20×9.81×cos37°=109.7 N

Q: Learning Goal: 75.0 kg and is being at C. Starting from The slender rod AB shown has a mass of m…

Q: Two helical springs A and B with ground ends are made of the same material and are in parallel. The…

Q: Inside a piston cylinder is 1 kg of pure water at 25°C. The piston is 15 cm in diameter and has a…

Q: om a point or ravelled by t pressed in 4

A: given:bridge locateed 44.8m above the watert=2sec

Q: A circular tube is subjected to torque T at itsends. The resulting maximum shear strain in the…

Q: PROBLEM 2: A rectangular plane, 1.2 m by 1.8 m is submerged in water and makes an angle of 30° with…

Q: system you choose) at the instance shown in the figure. Dimension: 0₂049 cm, O₂A = 6 cm, AB = 11 cm,…

Q: Define the drill press center pulley bearing replacement.

A: solution of above problem is below:

Q: Explain the effect of noise on humans when they are undergoing prolong and continuous exposure?

A: Introduction: In general, hearing loss is the third most frequent long-term health problem.…

Q: What can the beam shear stress equation that was derived in Sec. 5.8 be used to calculate? O the…

A: given = multiple choice question

Q: "Prob. 10.3-5. A square, tubular steel column has the d mensions shown in Fig. P10.3.5, has a length…

A: given:axial compression load P=50KNlength L=3mEst=210GPa σy=250MPa

Q: Determine the estimated endurance strength in MPa to 1 decimal place for a hot rolled steel 17 mm…

A: Write the given data. Sut=650 MPaReliability=95%T=70 °CMotion=Rotationd=17 mm

Q: (3) A cylinder with a cross section S with a frictionless piston with a mass of M is fixed at the…

A: Draw the above given diagram.

Q: Bars (1) are made of steel [E = 30,000 ksi], and bar (2) is made of an aluminum alloy [E = 10,000…

Q: The ultimate shearing stress of the rivet used to join plates is 22 ksi. For a factor of safety of…

Q: Outline the differences between Fig. Q4(i) and Fig. Q4(11).

Q: The stress on a member fluctuates from 0 to 15 ksi. The tensile and yield strength of the material…

Q: all particle of mass 'm' is held by a rop al and also by a horizontal cord. The ten ord is just cut…

A: solution of above problem is below:

Q: The two types of relays used to start hermetic compressorsare the _________ relay and the _________.

A: The hermetic compressor are the special type of compressors. These compressor are very big in size.…

Q: A gas is compressed inside a compressor’s cylinder. Whenthe piston is at its bottom dead center, the…

Q: List the steps that should be followed to preciselytighten a bolt to specifications.

A: Common fasteners that join two or more pieces of work together include nuts and bolts. You will need…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

A: Given that: Strain of the bar = ε = γy3E γ = specific weight = 2.1 lb/in3 L = length of the bar = 16…

Q: The natural frequency of a spring-mass system on earth is w₁. The natural frequency of this system…

A: As given in the question, The natural frequency of the spring-mass system on earth = ωn Relation…

Q: The rod OA rotates in the horizontal plane such that = 0.62t³ radian, and collar B is sliding…

Q: What advantage does a capillary tube have over a thermostatic expansion valve?

A: Capillary tube is a basic device used in the science lab for the measurement of the surface tension…

Q: UPVOTE will be given! Please write the complete solutions legibly. No long explanation needed.…

Q: A cylindrical barrel s feet in diameter of weight w lb isfloating in water as shown in Figure…

A: Given: The diameter of cylindrical barrel, d = s feet The weight density of water = 62.4 lb/ft3

Q: A gazebo is planned to be constructed in a community park as an additional shelter for visitors from…

A: Solution: Given Data: A=7200 mm2SR=0.026E=200 GPaσy=233 MPaFOS=1.67K=0.7 (for Fixed-pinned end)

Q: A wire of length L1=30cm has a fixed end and the other end is welded to another wire, whose linear…

A: Given: The length of wire 1, L1 = 30 cm The density of wire 2, r2 = r2/4 The mass suspended at far…

Q: State the standard conditions for water to boil at 212°F.

A: In this problem, it is asking about the standard conditions for water to boil at 212°F.

Q: (ii) For the system shown in Figure 2, determine (i) the required value of a if resultant of three…

Q: An axial member consisting of two polymer bars is supported at C as shown. Bar (1) has a…

Q: Where is the only permanent suction line on a heat pump?

A: The heat pump is a device used to taken heat from the outside environment and take it to our home.…

Q: List the procedures used when setting up, igniting, andusing an air-acetylene unit.

A: The procedures used when setting up, igniting, and using an air-acetylene unit are given as under,

Q: Consider the following fluids at a film temperature of 300 K in parallel flow over a flat plate with…

A: Given data: Film Temperature = Tf = 300 K Fluid velocity = u = 1 m/s Fluids are : Air, Water, Engine…

Q: In the Erlang loss model, pooling is an effective strategy because it always increasesimplied…

A: Erlang loss model is used to calculate the appropriate number of workers depending on the forecast…

Q: Discuss the different types of aircraft gas turbine engines and their applications.

A: There are mention different types of aircraft gas turbine engines and its important applications.

Q: Find the moment (Nm) acting at O due to all forces and couple present in the following system if P =…

Q: The answers should not be in vector form. Please re-anser. Rate will be given

Q: 1. VELOCITY ANALYSIS. A) Use the method of velocity vector polygons to calculate w3 and w4. Report…

Q: A newly designed electric motor has 0.50 in shaft supporting a load of 250 lb. The nearing pressure…

Q: Compound axial member ABC has a uniform diameter of d-2.4 in. Segment (1) Is an aluminum [E,- 10,000…

Question

A 50-mm diameter is fastened to a pulley by means of 12 mm x 12 mm x 60 mm key, as
shown in Figure E1-6. Determine the shear stress on a horizontal plane through the key if the
pulley is to transmit a torque of 120 Nm.

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 2 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

A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?
A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
The stresses acting on a stress element on the arm of a power excavator (see figure) are ax= 52 MPa and txy= 33 MPa (sec figure). What is the allowable range of values for the stress if the maximum shear stress is limited to = 37 MPa?
A high-strength steel drill rod used for boring a hole in the earth has a diameter of 0.5 in. (see figure). The allowable shear stress in the steel is 40 ksi and the shear modulus of elasticity is 11,600 ksi. What is the minimum required length of the rod so that one end of the rod can be twisted 30º with respect to the other end without exceeding the allowable stress? If the shear strain in part (a) is limited to 3.2 × 10-3 , what is the minimum required length of the drill rod?
The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see figure). What is the minimum required diameter dminif the allowable shear stress is 48 M Pa and the allowable rate of twist is 0.75º/m? (Assume that the shear modulus of elasticity is 80 G Pa.) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d/8, Compare dminvalues to corresponding values from part (a)
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. If the shaft is turning at 100 rpm, what is the maximum horsepower that can be transmitted without exceeding the allowable stress? If the rotational speed of the shaft is doubled but the power requirements remain unchanged, what happens to the shear stress in the shaft?
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
Two steel rods are welded together (see figure): the seam is oriented at angle ? = 50°. The stresses on the rotated element are sx1=10 ksi, sy1= -12 ksi, and tx1y1= -5 ksi. Find the state of plane stress on the clement if it is rotated clockwise to align the x3 axis with the longitudinal axis of the rods.
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 full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?