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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B) A simply supported shaft is shown in the following Figure. A constant magnitude distributed unit load p is
applied as the shaft rotates. The shaft is also subject to a steady torque of Tmax 2000-N -m., find the diameter of
shaft required to obtain a safety factor of 2.5 in fatigue loading if the shaft is steel of Sut 814 MPa and Sy 703
MPa. The dimensions are in cm, the distributed force in N/cm, and the torque is in N-m. No stress concentrations are
present, the shaft is machined, the required reliability is 90%, and the shaft operates at room temperature
Figure:
1= 20-cm: b = 18-cm ; a = 16 cm Applied distributed load p:= 1000 N em ;
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Condition #1:
A structural support for a machine is subjected to a static compression load of 20 kN. The support is
manufactured from a circular rod made from SAE 1040 Hot Rolled steel. Specify suitable diameter for
the cross section of the rod based on the basic size. Steel data are available in Table A-10 from the
textbook.
Condition #2:
The same structural support of the basic size determined in Condition 1 is subjected to a tensile load of
15 kN that is repeated several thousand times over the life of the machine. This load is not an addition to
the 20 kN. Specify a suitable steel that is suitable to this application based on the basic size determined in
Condition #1. Loading of Condition #1 does not apply here.
Condition #3:
The same structural support from Condition 2 is heated from room temperature of 25°C. The support is
placed inside a frame on both ends. There is a total clearance of 0.2 mm between the support and its
frame. Initial length of the rod is 200 mm. Specify the…
Please answer in this format.
Sketch:
Given:
Required:
Solution: (Please answer in detailed (step by step). Indicate labels on what you are doing/performing, for example what formula is used)
A torque To is transmitted between two flanged
shafts by means of four 20-mm bolts.
diameter of the bolt circle is 2=150mm. If the
allowable shear stress in the bolts is 90 Mpa,
what is the maximum permissible torque?
Disregard friction between between flanges.
The
To
Chapter 5 Solutions
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
Ch. 5 - A link in a mechanism is made from a round bar...Ch. 5 - A link in a packaging machine mechanism has a...Ch. 5 - A cantilevered boom is part of an assembly machine...Ch. 5 - For Problems1014, use the method outlined in...Ch. 5 - For Problems1014, use the method outlined in...Ch. 5 - Figure P524shows a hydraulic cylinder that pushes...Ch. 5 - The shaft shown in Figure P528is supported by...Ch. 5 - An aluminum rod, made from alloy 6061-T6, is made...Ch. 5 - A circular bar of SAE 4140 OQT 1000 steel steps...Ch. 5 - Compute the torsional shear stress in a circular...
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- 1- A bush roller chain drive is used to transmit 4 kW of power from the driving shaft on a hydraulic motor runs at 1200 r.p.m to the driven shaft which runs at 350 r.p.m. The drive is required to operate continuously with drop lubrication and driven machine is such that load can be regarded as fairly constant. Design the chain drive by calculating leading dimensions, number of teeth on the sprockets taking into account that the available distance between the two shafts centers is 400mm + 4% no more no less.arrow_forward1. The steel shaft shown below has a hardness of 150 Bhn and experiences completely reversed torsion, T. The surface is machined, and a reliability of 50% is required. If a 1.5 safety factor is desired, calculate the reversed torque, T, to guarantee that the part will not fail under fatigue. 24 mm 2 mm rad. 0.8 mm rad. 20 mm 24 mm 150 Bhnarrow_forwardProblem 1: The pin in a Box-Pin coupling is acted upon by a force (F), that varies as random variable due to misalignment as (2, 0.08) kN. The load act at a distance (1) that varies as (25 ± 3) mm. The diameter of the pin (D) is 18 mm. The fillet radius at the pin shoulder is about 1.5 mm. The stress concentration factor due to fatique in bending is thus a random variable kb that could vary from 1.3 to 1.5. The pin is made of steel AISI 4340 with mean endurance strength in bending of 400 MPa, and a standard deviation of 25 MPa. Determine the pin diameter (d), if one pin in every 10000 may be permitted to fail. R1.6 O L Problem (1)arrow_forward
- What is the fatigue-strength reduction factor for a shaft with an annealed sled-runner keyway under torsion if the notch sensitivity factor is 0.72?arrow_forwardProblem 4: A cast iron shaft, ASTM-25 with an ultimate tensile strength of 25,000 psi, is subjected to a tor- sional load which is completely reversed. The load is to be applied an indefinite number of cycles. The shaft is 2" in diameter and is joined to a 3" diameter shaft with a " radius fillet. The factor of safety is to be 2. What is the maximum torque that can be applied to the shaft? Solve by two methods: (1) using Soderberg's equation, (2) using s = Tc/J directly.arrow_forwardA 1000 mm cast iron pulley is fastened to a 112 mm shaft by means of a 28 mm square key 160 mm long. The key and shaft are SAE 1030 steel annealed with allowable shearing of key at 200 MPa and compressive of 660 MPa. a. What force in lbs is required to shear the key? b. What force in kgs is needed to compress the key? c. Safe power in hp of the shaft at 600 rpm. d. What force in lbs acting at the pulley rim will shear the key? e. What force in lbs acting at the pulley rim will crush the key?arrow_forward
- A structural support for a machine is subjected to a static compression load of 20 kN. The support is manufactured from a circular rod made from SAE 1040 Hot Rolled steel. Specify suitable diameter for the cross section of the rod based on the basic size. Steel data are available in Table A-10 from the textbook.arrow_forwardA single-threaded power screw of square form is to raise a load of 90KN at the rate of 360mm/min. Other data are as follows: Nominal Diameter of screw = 36mm Pitch = 6mm Coefficient of thread friction = 0.1 Coefficient of collar friction = 0.08 Friction radius at collar= 30mm Determine the power input to the screw in kilowatts.arrow_forwardEstimate the endurance strength of a 1.5-in-diameter rod of AISI 1040 steel having a machined finish and heat-treated to a tensile strength of 110 kpsi.arrow_forward
- An SAE 1040 Cold Drawn Steel part has a rectangular shape with dimensions of 2 in base x 6 in height. The part is under fluctuating bending stress (flexural stress). Calculate the estimated actual endurance limit Sn' .arrow_forwardA component machined from a plate made of steel 45C8 (Sut = 630 N/mm2) is shown in figure below. It is subjected to a completely reversed axial force of 50 kN. The expected reliability is 90% and the factor of safety is 2. The size factor is 0.85.Determine the plate thickness t for infinite life, if the notch sensitivity factor is 0.8.arrow_forwardFigure below shows a rotating shaft simply supported in ball bearings at A and D and loaded by a nonrotating orce Fof 6.8 kN. Using ASTM "minimum" strengths, estimate the life of the part. 6T td7 (a) Shaft drawing showing all dimensions in millimeters; all fillets 3-mm radius. The shaft rotates and the load is stationary; material is machined from AISI 1050 cold-drawn steel. (b) Bending moment diagram.arrow_forward
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