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
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 60P
To determine
The diameter of solid circular bar.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The gear forces shown act in planes parallel to the yz plane. The force on
20 in
gear A is 300 lbf. Consider the bearings at O and B to be simple supports.
For a static analysis and a factor of safety of 3.5, use both the DET and
16 in
the MSST to determine the minimum safe diameter of the shaft.
10 in
Consider the material to have a yield strength of 60 ksi.
Gear A
Solution:
24-in D.
Gear C
10-in D.
20°
4. A solid square rod is cantilevered at one end. The rod is 0.6 m long and
supports a completely reversing transverse load at the other end of ±2 kN. The
material is AISI 1080 hot-rolled steel. If the rod must support this load for 104
cycles with a design factor of 1.5, what dimension should the square cross
section have? Neglect any stress concentrations at the support end.
65
The shaft is shown in Figure 3 is modified using the shaft from Question 2. Manufacturer
selected as machined surface treatment for the shaft. It contains two fillets and one groove.
The shaft rotates at 3000 řpm, whilst the imposed loads remain static.
(a) Ifthe shaft is subjected to two-point load as shown below, F =10 kN, Calculate the factor
of safety with respect to fatigue failure.
(b) If the shaft is subjected to two-point load F= 10 kN while transmitting a power of P =
32 kW, Calculate the factor of safety with respect to fatigue failure.
(L1 = 70 mm, L2 = 100 mm, L3 = 80 mm, La = 40 mm, Ls = 50 mm, L6 = 30 mm, Rj = 2 mm, R2
1 mm, R3= 4 mm, d = 24mm and D = 32mm,)
0.3F
0.7F
LI
Ls
L.
L6
ノ
R1
R3
R2
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
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
- Required information A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R₁ and R₂. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 25 mm- R₁ 200 mm- 13 KN Not to scale. -50 mm. B₂ Determine the minimum static factor of safety based on yielding. The minimum static factor of safety based on yielding isarrow_forwardPROVIDE FREE-BODY-DIAGRAM IN EVERY LETTER. Show clear hand writing and complete solution. Thank you The thrust bearing supports a load P = 275kN. Finda. The tensile stress in the rodb. The shearing stress between the thrust bearing and the rodc. The bearing stress between the thrust bearing and the support.arrow_forwardThe figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of ASTM grade 25 cast iron using a design factor na = 2.8. What diameter should be used for the shaft? 6-in D. 300 lbf 27 lbf 360 lbf D 6 in A 8 in 50 lbf B 8-in D. 8 inarrow_forward
- Calculate the dimensions of the I-section of a connecting rod, stating any assumptions. using the data below: Maximum cylinder pressure = 3.15N/mm² Cylinder bore = 100mm Factor of Safety=6 Crank length 95mm Connecting rod length=380mm Take the constant a=7500.arrow_forward1) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm. While the real part has fillets (r=3mm), you can assume an abrupt change in geometry for each shaft step for this problem. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa, a yield strength of S_y=580 MPa, and a modulus of Elasticity of E_steel = 207 GPa. Determine the displacement at the 6.8 kN load and points B and C. 6.8 KN 30 10 250 32 B 75 38 100 10-1 -35 30arrow_forwardA structural support for a machine will be subjected to a static tensile load of 16.0 kN.Specify suitable dimensions for the cross section of the rod.arrow_forward
- Required Information A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces Rjand R2. The shaft Is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 200 mm 25 mm 13 kN 50 mm- Not to scale Determine the endurance limit, adjusted as necessary with Marin factors. The endurance limit is 210.7 MPa.arrow_forwardV-links "Im crank arm раper rolling machine forks rod off-loading station air cylinder fork lift truck Determine the critical load on the air-cylinder rod if the crank arm that it rotates is 0.3 m long and in the position with the largest compression of the rod its length equals 0.5 m. The 40-mm-dia rod is solid steelwith a yield strength of 400 MPa. Assume the rod is a fixed-pinned column. Use a theoretical value for the effective length factor. Express your answer to three significant figures and include the appropriate units. HA Per = 1026 kNarrow_forward4) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 -10 -250 32 B 6.8 KN 75 -38 100- с 125 10 35 D 30arrow_forward
- A rigid coupling with 30 inches of bolt circle diameter transmits a torque of 18,000 lb-in. The coupling material has a yield strength of 90,000 psi. The coupling is fastened by six bolts. Assume design factor of N=3 Calculate the diameter of each bolt.arrow_forwardThe d = 12-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load Pis applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 13 mm. The rod head has a diameter of a = 29 mm, and the head has a thickness of t = 8 mm. If the normal stress produced in the rod by load Pis 225 MPa, determine (a) the bearing stress acting between the support plate and the rod head. (b) the average shear stress produced in the rod head. (c) the punching shear stress produced in the support plate by the rod head. Support Plate Hole diameter D P Rod Head d P a b-arrow_forwardDraw FBD and determine Stress and Safety Factor of Bicycle Axle (Thru Axel) Specification Weight of cyclist = 120 kg. Materials: Aluminum alloy (AL 6061-T6) Dimension: Length = 122 mm, Diameter = 12 mm, Thread pitch = 1.75 mm, Thread Length = 16 mm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Mechanical Design (Machine Design) Clutches, Brakes and Flywheels Intro (S20 ME470 Class 15); Author: Professor Ted Diehl;https://www.youtube.com/watch?v=eMvbePrsT34;License: Standard Youtube License