For the disc saw shown in the figure below a key is used to transfer a torque of 20 Nm. Calculate the stresses in the key joint if the key has the following dimensions: b x h x l = 10 x 8 x 32 and the shaft has a diameter d= 35 mm. Problem 1. For the disc saw shown at the figure below a key is used to transfer a torqueof 20 Nm. Calculate the stresses in the key joint if the key has the following dimensions:bx h x1 = 10 x 8 x 32 and the shaft has a diameter d= 35 mm.35SEØØ120

Answered: Image /qna-images/answer/0fca25c2-ddc9-45c4-9189-403f68e4b76d.jpg

For the disc saw shown in the figure below a key is used to transfer a torque of 20 Nm. Calculate the stresses in the key joint if the key has the following dimensions: b x h x l = 10 x 8 x 32 and the shaft has a diameter d= 35 mm.

For the disc saw shown in the figure below a key is used to transfer a torque of 20 Nm. Calculate the stresses in the key joint if the key has the following dimensions: b x h x l = 10 x 8 x 32 and the shaft has a diameter d= 35 mm.

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

See similar textbooks

Related questions

Q: The compound shaft shown in the figure consists of two steel [G = 80 GPa] pipe segments. The shaft…

A: Given Data: The modulus of rigidity of steel is, G=80 GPa=80 GPa×1000 MPaGPa=80000 MPa. The outside…

Q: (A,) See the figure below. There are two torques applied at B and D. Segment CD is a tube, while AB…

A: In the given problem, the dimensions and Modulus of rigidity have been converted to feet. Radius,…

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

A: Coupling : It is a mechanical element which connect the shaft from another also it is used to…

Q: Consider the compound shaft KC which is composed of a 1200mm long solid rod fitted snuggly into an…

Q: 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…

Q: Calculate (i) the Applied Torque, TT Enter your answer to TT, in Nm correct to one decimal place.…

A: Given Data: Diameter of the shaft, d=15 mm Length of the shaft, L=250 mm

Q: the propeller on a ship shown in figure qi is subjected to a compressive axial force f of 180 kn as…

Q: The figure below is a schematic drawing of a shaft that supports two V-belt pulleys. The loose belt…

A: Given, The yield strength of the material, sy=300 MPa The ultimate strength of the material, su=520…

Q: Question 2 The vertical shaft and the pulleys keyed to it in Figure Q2 may be regarded as…

Q: Torsional moments affect the rods as shown in the figure. a- Draw the torque diagram on the rod.…

A: Given data: For steel pipe: do=10 cm=100 mm ; di=5 cm=50 mm ; GSt=83 GPa ⇒Polar moment of inertia of…

Q: Form the figure below, the power transmission shaft shows the forces acting on it carrying two…

Q: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Concept Of Spring Used Note: There are four part in the question only first three has been answered…

Q: A shaft with a diameter d = 25 mm must transfer a torque of 23 Nm by using a key joint. The key has…

Q: Q1: A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The…

A: Given:P=30 KWζ=40 MPa

Q: A torsional bar is subjected to two external torques (10Nm and 5Nm) and a distributed torque…

A: according to the details given above

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

Q: ТмотоR Tc = 0.5 kNm 54 mm в Tp =2 kNm 46 mm 46 mm TE = 1 kNm 40 mm F Length of the shaft: LẠC = LEF…

A: When a shaft is subjected to torque, shear stress produces in the shaft. The torsion equation is…

Q: A link of a valve gear has to be curved in one plane, for the sake of clearance. Estimate the…

Q: Consider the case of shafts subjected to bending moment only. Figure Q2 shows a pair of wheels of a…

A: Given:- P=50kN Gauge length= 1.4m Max stress=100MPa k=dido=0.5 To find:- 1) Diameter of axel, d 2)…

Q: as the following standard

A: given data shaft dia = 60 mm length of key = 50 mm b = 18 mm h= 11 mm torque T = 350 x 1000 N-mm…

Q: unting for stress concentrations. calculate the safety factor for the material selected. if matrial…

A: Given-Information:- Material 4150 AnnealdF1 = 9 kNF2 = 13 kNF3 = 15 kN To-Determine:- Safety Factor…

Q: hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Critically evaluate…

Q: Torsional moments affect the rods as shown in the figure. a- Draw the torque diagram on the rod.…

A: Torque is the turning effort caused due to the force. The torque diagram represents the loading…

Q: Bearing stress 4. Please provide proper discussion and illustration also complete solution and…

A: For solution refer below images.

Q: A torsional bar is subjected to two cxtcrnal torques (10Nm and 5Nm) and a distributed torque…

A: (a) Draw the free-body diagram of sections AB and BC.

Q: What length of a square key is required for a 5-in diameter shaft transmitting 1000 hp at 1000 rpm?…

Q: 4. What length of a square key is required for a 4-in diameter shaft transmitting 1000 hp at 1000…

A: Given:Shaft diameter, D=4 inPower transmission by the shaft, P=1000 hpShaft speed, N=1000…

Q: For the rod in the figure, an allowable stress of 10 ksi, calculate the maximum torque T which can…

Q: motor transmits 180 hp to the driving pulley, in the figure assuming that A takes 40 hp and C takes…

A: find the diameter of the shaft .

Q: Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each…

Q: The cross-sectional view of a closed section, thin-walled tube is shown in the figure. The thickness…

A: Data given- Al 2014- T6 aluminium alloy Maximum Shear stress for Al 2014- T6 aluminium alloy τmax…

Q: A shaft/hub connection transmits a torque C =60N.m. We use a rectangular key (W=14mm x H=9mm) with a…

Q: Figure Q4(B)(a) shows a hollow quarry drill bit in operation. When drilling, it experiences…

Q: A 16 in. diameter motor pulley is running at 600 rpm with a 6 in diameter shaft transmitting power…

A: Given data: diameter of pulley = D = 16 in = 0.4064 m Speed of pulley = 600 rpm diameter of shaft =…

Q: A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in…

Q: Design a square key for a 3 in diameter shaft to withstand a torque of 30000lb-in. The design…

A: Given data: Diameter of shaft = 3 in Torque being transmitted = T = 30000 lb-in Design shear stress…

Q: L_[mm] F_[N] Moment [Nm] Yön 15 L mm 30 mm

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

Problem 1. For the disc saw shown at the figure below a key is used to transfer a torque
of 20 Nm. Calculate the stresses in the key joint if the key has the following dimensions:
bx h x1 = 10 x 8 x 32 and the shaft has a diameter d= 35 mm.
35
SEØ
Ø120

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

Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
A steel punch consists of two shafts: upper shaft and lower shaft. Assume that the upper shaft has a diameter d1= 24 mm and the bottom shaft has a diameter d2= 16 mm. The punch is used to insert a hole in a 4 mm plate, as shown in the figure. If a force P - 70 kN is required to create the hole, what is the average shear stress in the plate and the average compressive stress in the upper and lower shaft of the punch?
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?
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 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).
A crank arm consists of a solid segment of length bxand diameter rf, a segment of length bltand a segment of length byas shown in the figure. Two loads P act as shown: one parallel to — vand another parallel to —y. Each load P equals 1.2 kN. The crankshaft dimensions are A] = 75 mm, fr> = 125 mm, and b3= 35 mm. The diameter of the upper shaft isd = 22 mm, (a) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis. (b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y axis
Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
Design a square key for a 3 in diameter shaft to withstand a torque of 30000lb-in. The design stresses in shear and bearing can be safely taken as 11 ksi and 22 ksi, respectively. Find the length (inches) From Table AT 19, b=t=3/4 in
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.