Answered: A shaft with a diameter d = 25 mm must…

A shaft with a diameter d = 25 mm must transfer a torque of 23 Nm by using a key joint. The key has the following standard dimensions: b x h x l = 8 mm x 7 mm x 18 mm. Calculate the stresses.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

See similar textbooks

Related questions

Q: 4. A thin-walled steel cylinder is subjected to an internal fluid pressure of 21 bar (2.1 MN/m?).…

Q: A steel tube with the cross section shown is 6 ft long and has a wall thickness of 0.12 in.…

Q: A shaft 30 mm diameter is transmitting power at a maximum shear stress of 80 MPa. If a pulley is…

Q: For the shaft in below, motor gives a 500 Nm torque on the shaft when it is rotation with a constant…

Q: For the disc saw shown in the figure below a key is used to transfer a torque of 20 Nm. Calculate…

Q: The shaft and the flange of a marine engine are to be designed for flange coupling, in which the…

Q: Q1: Find the Diameter of the shaft made of A cold-drawn steel. Assume that ultimate stress is 370…

A: Given: The ultimate stress = 370 MPa The factor of safety, n = 3 The tension in the loose side, T2 =…

Q: A hollow shaft has an inner diameter of 0.035m and outer diameter of 0.06m. Compute for the torque…

A: Answer: The torque transmitted by the hollow shaft is 4500 N•m.

Q: The figure shows an inboard engine, 8-ft long steel drive shaft, and propeller for a motor boat. The…

A: Given data: P=200 hpN=3500 rpmG=12×106 psiτ=12000 psi Need to determine the diameter of the smallest…

Q: A 150 min x a mnm x 20 mm stecl plate is subjected a pull of 150 kN along its central axis as show…

Q: In the figure above, torques TI, T2 and T3 are applied, respectively, to discs A, B and C on the…

Q: Please answer in this format. Sketch: Given: Required: Solution: (Please answer in detailed (step by…

Q: Q2: A solid steel shaft 450 mm long is stressed at 75 MPa when twisted through 3° and used to…

Q: Q2. A flange coupling joining two sections of shaft is required to transmit 250 kW at 1800 rpm. If 6…

A: To find: The diameter of the bolt. Given: The power transmitted by the shaft is P=250 kW. The speed…

Q: A 75mm shaft is subjected to 5KN-m torque. Find the stress developed in MPa.

A: Dear student, there are multiple question and we are suppose to solve only one question. Also in…

Q: A load P is supported by two concentric steel springs. Given: Inner Spring: 30 turns of 20-mm ø wire…

A: When a component or a part is subjected to any external force, a resisting force will be developed…

Q: Q2. Two 35 mm shafts are connected by a flanged coupling The flanges are fitted with 6 bolts on 125…

Q: The cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If it is subjected to an…

Q: Figure. Calculate the maximum axial stress of the shaft if the average punching shear stress in the…

A: Given: The average punching shear stress =100 MPa The average bearing stress = 125 MPa The diameter…

Q: Q4-A shaft (55 mm) diameter is transmit power of 200 W at 1200 rpm, the maximum shear stress of (80…

A: Given data: - The diameter of the shaft is d = 55 mm. The power transmit is P = 200 W. The speed of…

Q: A keyed sprocket delivers a torque of 778.8 N - m thru the shaft of 54 mm OD. The key thickness is…

Q: Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a…

Q: The shaft of a hand operated wire rope hoist is supported on bearings A and B. The shaft is keyed to…

Q: Compute the torsional shear stress in a circular shaft with a diame to a torque of 800 N-m.

Q: Q2c) The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in…

A: Given: Solution:

Q: A shaft 30 mm diameter is transmitting power at a maximum shear stress of 80 MPa. If a pulley is…

Q: Figure Q1 shows a solid steel shaft AF which is supported by frictionless bearings at B and F. It is…

Q: Compute the torque that would produce a torsional shear stress of 50 MPa in a square steel rod 20 mm…

Q: A steel bolt of 6 mm in diameter has a tensile load of 40 kN. Find the average tensile stress at the…

A: Given A steel bolt Tensile load P=40kNMajor diameter(d1)=6 mmMinor diameter d2=4 mmAverage tensile…

Q: A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m. Compute for the…

Q: 1. A taper pin is used to fix a lever to a shaft, if it is to transmit a maximum torque of 850…

A: Given: The torque transmitted by shaft, T = 850 lb.in The shaft diameter, d = 1.75 in The ultimate…

Q: A hollow vertical cylindrical steel pipe with an outside diameter of 300 mm and 6 mm thick has a…

Q: Q3. A welded steel cylindrical drum made of a 15mm thickness plate has an internal diameter of 1.50…

Q: A flange coupling having six bolts on a pitch circle radius of 300 mm connects two hollow shafts…

Q: stanchion and carries a vertical load of 50 kN. Assuming that the total shearing stress in a bolt is…

A: GIVEN:

Q: vator torque tube is made of 24S-T aluminum alloy & has dimensions of 2- by 0.083 in. Find the angle…

A: Given:Dimension: 2 in by 0.083 inζ=10,000 psiL=80 in

Q: A shaft of 30 kW 710 r.p.m motor is 40 mm in diameter and is supported in bearings 500 mm apart.…

A: Given: The power of shaft is P=30 kW The revolution of shaft per minute is N=710 rpm The diameter…

Q: The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure…

Q: Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is…

Q: A steel shaft can be manufactured in the form of a circular rod or a circular tube with a full body.…

A: Given that, Torque acting on the shaft, T=1200 N·m,Maximum shear stress of the material, τ=40…

Q: The shaft in Fig. (a) consists of a 3-in. -diameter aluminum segment that is rigidly joined to a…

Q: A Wind Turbine has a maximum output of 2MW at a speed of 20 rpm. A shaft of length 2m made of EN8…

A: Given: Maximum power=2×106W Speed=20rpm or 2.094rad/s Design stress=240MPa Length of the shaft=2m…

Q: 1. A flange coupling connects two shafts to transmit 40 kW at 900 rpm. The flanges of the coupling…

Q: 1. A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20…

A: as per guideline i have to solve only first question

Q: The solid cast-iron shaft shown in Fig.a is subjected to a torque of T = 400 lb # ft. Determine its…

A: Maximum shear stress,τmax=TrJwhere,r=radius of shaftT=torque=400 lb.ftJ=Polar…

Q: Design a typical rigid flange coupling for connecting a motor and a centrifugal pump shafts. The…

Q: Q 3. Design a rigid flange coupling to transmit a torque of 250 N-m between two coaxial shafts. The…

A: Given data The permissible stresses are given below: Shear stress on shaft = 100 MPa Bearing or…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

100%

A shaft with a diameter d = 25 mm must transfer a torque of 23 Nm by using a key joint. The key has the following standard dimensions: b x h x l = 8 mm x 7 mm x 18 mm. Calculate the stresses.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54 mm OD. The key thickness is 1.578 cm and the width is 1.11 cm. Compute the length of the same key. The permissible stress value of 60 MPa for shear and 90 MPa for tension. (Ans: 4.33 cm)
Problem 1. A shaft with a diameter d = 60 mm must transfer a torque of 350 Nm by using a key joint. The key has the following standard dimensions: b x h x 1= 18 mm X 11 mm x 50 mm. Calculate the stresses.
4. What length of a square key is required for a 4-in diameter shaft transmitting 1000 hp at 1000 RPM? The allowable shear and compressive stresses in the key are 15 ksi and 30 ksi, respectively.
Q2: A rectangular key is used to connect a gear on a shaft of d=50 mm. The shaft transmitting power at a maximum shear stress. The shaft is made of AISI 1040 CD steel and the key is made of AISI 1020 CD steel. Design the dimensions of the key. Take F.S =3.
. The mean diameter of the driving pulley for a vec-belt drive with two belts is 110 mm. The pulley groove angle is 40° and the drive transmits 4.4 kW at a speed of rotation of 1500 rev/min. The coefficient of frietion between belt and pulley 0.32, and the angle of lap is 160°. Determine the driving torque and the maximum stress in the belt material if the cross-sectional area of each belt is 120 mm.
x Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the design with a radius of 160 mm. The forces acting on the system are defined as follow: F₁ = 1P kN; F₂ = 8P kN; F3 = 2P kN; F₁ = 6P kN; F5 = 4P kN; F = 7P kN. Employing the maximum shear stress theory, calculate the maximum permissible P for a safe design experience. L₁ = 1.4m; L₂ = 1.8 m; L3 = 1.4m; L4 = 1.6 m; allow = 75 MPa (allowable strength, σs) A F₁ F₂ L2 m F4 B 3 F6 Fs
Question 2 The vertical shaft and the pulleys keyed to it in Figure Q2 may be regarded as weightless. A constant angular velocity is used to rotate the shaft. The known belt pulls are shown, and the three pulleys are firmly keyed to the shaft. Calculate the required diameter of a solid circular shaft if the operating stress in shear is 50 MPa. Because the bearings and pulleys are close together, neglect shaft bending. 250 mm B 350 mm ↓ -500 mm- Figure Q2 -3 kN 1 kN 1 kN 1.25 kN
Design a rigid flange coupling to transmit a torque of 250N-m between two coaxial shafts. The shaft is made of alloy steel, flanges out of cast iron and bolts out of steel. Four bolts are used to couple the flanges. The shafts are keyed to the flange hub. The permissible stresses are given below: Shear stress on shaft =100MPa Bearing or crushing stress on shaft =250MPa Shear stress on keys =100MPa Bearing stress on keys = 250MPa Shearing stress on cast iron = 200Mpa Shear stress on bolts =100MPa Torque = 257N-m
Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to a torque of 800N-m.
Bearing stress 4. Please provide proper discussion and illustration also complete solution and clear solution please thank you Determine the length of a square key to be used for a 3.73 kW, 1800 rpm electric motor if the motor shaft diameter is 35 mm and the width of the key is approximately one-fourth of the shaft diameter. The allowable shearing stress on the key is 2.45 MPa
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.
Direct a key d the Hub Shear plane Hub Key F2 y, or anical F1 T=Torque Shaft T=F(D/2) F = Force of shaft on key F= Force of hub on key Side view -D Shaft diameter End view Shear Shaft plane Hub F1 Key F2 Shear area = A, = bxL %3D Enlarged view of key Pictorial sketch of key, shaft, and hub Ноу