Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
6th Edition
ISBN: 9780134441184
Author: Robert L. Mott, Edward M. Vavrek, Jyhwen Wang
Publisher: PEARSON
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Chapter 3, Problem 19P
To determine
Shear Stress in the key.
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The diameter of shaft is 45mm. Compare the shear stress in the key to the torque in the shaft. calculate the key size to use for the 15 kW low speed shaft with a speed of 384 rpm. Take bxb = 10mm x 10mm as d = 45mm L = 1.5 cm.
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.
For the shaft shown in the figure below, compute the angle of twist of
pulleys B and C relative to A. The steel shaft has a diameter of 35 mm
throughout its length. The torques are T1= 1500 N · m, T2 = 1000 N · m,
= 500 N · m. The lengths are L, = 500 mm, L2 = 800 mm.
T3
L2
T
|T2
T3
A
C
B.
Chapter 3 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Ch. 3 - A tensile member in a machine structure is...Ch. 3 - Compute the stress in a round bar having a...Ch. 3 - Compute the stress in a rectangular bar having...Ch. 3 - A link in a packaging machine mechanism has a...Ch. 3 - Two circular rods support the 3800 lb weight of a...Ch. 3 - A tensile load of 5.00 kN is applied to a square...Ch. 3 - An aluminum rod is made in the form of a hollow...Ch. 3 - Compute the stress in the middle portion of rod AC...Ch. 3 - Compute the forces in the two angled rods in...Ch. 3 - If the rods from Problem 9 are circular, determine...
Ch. 3 - Repeat Problems 9 and 10 if the angle is 15 .Ch. 3 - Figure P312 shows a small truss spanning between...Ch. 3 - The truss shown in Figure P313 spans a total space...Ch. 3 - Figure P314 shows a short leg for a machine that...Ch. 3 - Consider the short compression member shown in...Ch. 3 - Refer Figure P38 . Each of the pins at A, B, and C...Ch. 3 - Compute the shear stress in the pins connecting...Ch. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Compute the torsional shear stress in a circular...Ch. 3 - If the shaft of Problem 22 is 850 mm long and is...Ch. 3 - Compute the torsional shear stress due to a torque...Ch. 3 - Compute the torsional shear stress in a solid...Ch. 3 - Compute the torsional shear stress in a hollow...Ch. 3 - Compute the angle of twist for the hollow shaft of...Ch. 3 - A square steel bar, 25 mm on a side and 650 mm...Ch. 3 - A 3.00 in-diameter steel bar has a flat milled on...Ch. 3 - A commercial steel supplier lists rectangular...Ch. 3 - A beam is simply supported and carries the load...Ch. 3 - For each beam of Problem 31, compute its weight if...Ch. 3 - For each beam of Problem 31, compute the maximum...Ch. 3 - For the beam loading of Figure P334, draw the...Ch. 3 - For the beam loading of Figure P334, design the...Ch. 3 - Figure P336 shows a beam made from 4 in schedule...Ch. 3 - Select an aluminum I-beam shape to carry the load...Ch. 3 - Figure P338 represents a wood joist for a...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 40PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 39 through 50, draw the free-body...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - For Problems 4850, draw the free-body diagram of...Ch. 3 - Prob. 50PCh. 3 - Compute the maximum tensile stress in the bracket...Ch. 3 - Compute the maximum tensile and compressive...Ch. 3 - For the lever shown in Figure P353 (a), compute...Ch. 3 - Compute the maximum tensile stress at sections A...Ch. 3 - Prob. 55PCh. 3 - Refer to Figure P38. Compute the maximum tensile...Ch. 3 - Prob. 57PCh. 3 - Refer to P342. Compute the maximum stress in the...Ch. 3 - Refer to P343. Compute the maximum stress in the...Ch. 3 - Prob. 60PCh. 3 - Figure P361 shows a valve stem from an engine...Ch. 3 - The conveyor fixture shown in Figure P362 carries...Ch. 3 - For the flat plate in tension in Figure P363,...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - For Problems 64 through 68, compute the maximum...Ch. 3 - Prob. 68PCh. 3 - Figure P369 shows a horizontal beam supported by a...Ch. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - The beam shown in Figure P372 is a stepped, flat...Ch. 3 - Figure P373 shows a stepped, flat bar having a...Ch. 3 - Figure P374 shows a bracket carrying opposing...Ch. 3 - Prob. 75PCh. 3 - Figure P376 shows a lever made from a rectangular...Ch. 3 - For the lever in P376, determine the maximum...Ch. 3 - Figure P378 shows a shaft that is loaded only in...Ch. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - A hanger is made from ASTM A36 structural steel...Ch. 3 - A coping saw frame shown in Figure P382 is made...Ch. 3 - Prob. 83PCh. 3 - Figure P384 shows a hand garden tool used to break...Ch. 3 - Figure P385 shows a basketball backboard and goal...Ch. 3 - Prob. 86P
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- The hollow shaft used in the system has the following conditions: Outer Ø:110 mmØ Allowable Shearing Stress:85 MPa Determine the thickness (mm) of the shaft. Round to the nearest whole number for the thickness and use 2 decimal places for other solved values. Provide a torque diagram, strictly follow instructed sign convention, and start from left to right.arrow_forwardL length of the adjustable wrench in the figure; Select 162 mm. F force also; Select it as 124. Find the torque and direction of the wrench applied to the bolt.arrow_forwardthe QUESTION 2: (30 points) For the shaft in below, motor gives a 500 Nm torque on the shaft when it is rotation with a constant speed. Torques of two pulleys are known as shown in the figure. If the shaft is made of A-36 steel alloy, determine the maximum shear stress that is generated through the shaft. 300 N - m 200 N m 48 mm 0.9 m 44 mm 1.2 m 40 mm 1marrow_forward
- PLEASE ANSWER PART 4 and 5 Part 1 Calculate the polar moments of inertia in segments (1) and (2). Answer: J₁ = 13.84 in.⁴ J₂= 1.535 in. ⁴ Part 2 Calculate the internal torques T1 and T2 in shaft segments (1) and (2), respectively. On paper, prepare an internal torque diagram for the compound shaft that shows these internal torques. Use the sign convention presented in Section 6-6. Answer: T₁ = 800 Ib-ft, T₂= -800 Ib-ft. Part 3 Calculate the maximum shear stress in each shaft segment. On paper, prepare a diagram that shows the maximum shear stress in segments (1) and (2) of the shaft. Use the sign convention presented in Section 6-6. Answer: τ₁ = 1560.69 psi, τ₂ = -7817.59 psi Part 4 (PLEASE ANSWER) Determine the rotation angle of B with respect to the support at A. Please Answer: φB= rad. Part 5 (PLEASE ANSWER) Determine the rotation angle of C with respect to the support at A. Please Answer: φC= rad.arrow_forwardThe steel shaft is made from two segments: AC has a diameter of 50 mm, and CB has a diameter of 100 mm. If the shaft is fixed at its ends A and B and subjected to a torque of 1200 N.m, and G = 76 GPa. st A 50 mm D_1200N.m 30 mm 100 mm 80 mm 120 mm 1- What is the torque value at point A in (N.m)?arrow_forwardA 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.arrow_forward
- A shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and modulus of rigidity of 80 GPa. The angle of twist is not to exceed to 1° in 4-meter length A. Calculate the diameter of the shaft in inches. B.If the shaft in A is to be fitted to a hub with material SAE 0105 and fit classification of FN3, what will be the maximum and minimum stresses based on the interference of metal.arrow_forwardThe dimensions of a stepped shaft are shown below. The maximum shear stress specification of the material is 67.1 MPa. Calculate the allowable torque for the shaft. r= 2.4 mm 12 mm 15 mmarrow_forward. 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.arrow_forward
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