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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Textbook Question
Chapter 5, Problem 10P
For Problems10−14, use the method outlined in Section5−4 to determine the expected actual endurance limit for the material.
Compute the estimated endurance limit for a 0.75-in-diameter rod made from SAE 1040 cold-drawn steel. It is to be subjected to repeated and reversed bending stress. A reliability of 99% is desired.
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Problem 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
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Problem (1)
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
Estimate 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.
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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- A steel rod is subjected to a reversed axial load of 180 kN. Find the diameter of the rod for a factor of safety of 2. Neglect column action. The material has an ultimate tensile strength of 1070 MPa and yield strength of 910 MPa. The endurance limit in reversed bending may be assumed to be one-half of the ultimate tensile strength. Other correction factors may be taken as follows: For axial loading (Ka) = 0.7; For machined surface (Ksur) = 0.8 ; For size (Ksz) = 0.85 ; For stress concentration(Kf)= 1.0.3.arrow_forwardB) 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 ; 区区arrow_forward1- 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_forward
- Determine the estimated endurance strength in MPa to 1 decimal place for a hot rolled steel 28 mm round bar for 95% reliability. The ultimate strength is 650 MPa and the rod will be used as rotating shaft at 70 C. Your Answer:arrow_forwardTwo steels are being considered for manufacture of as-forged connecting rods subjected to bending loads. One is AISI 4340 Cr-Mo-Ni steel capable of being heat-treated to a tensile strength of 260 ksi. The other is a plain carbon steel AISI 1040 with a ultimate strength of 113 ksi. Each rod is to have a size giving an equivalent diameter of 0.75 in. Determine the endurance limit for each material. Is there any advantage to using the alloy steel for this fatigue application?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
- 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_forwardThe load on a helical spring is 1282 lb and the corresponding deflection is to be 3.4 inches. Rigidity modulus is 11 x 106 psi and the maximum intensity of safe torsional stress is 60,000 psi. If the wire diameter and the mean diameter are 0.5 in. and 3 in., respectively. Determine the number of active coils. Don't round your answer to preferred size. Round your answer to 4 significant figuresarrow_forwardTwo steels are being considered for the manufacture of as-forged connecting rods subjected to bending loads. One is AISI 4340 Cr-Mo-Ni steel capable of being heat- treated to a tensile strength of 260 kpsi. The other is a plain carbon steel AISI 1040 with an attainable Sut of 113 kpsi. Each rod is to have a size giving an equivalent diameter de of 0.24 in. Determine the endurance limit for each material. Is there any advantage of using the alloy steel for this fatigue application?arrow_forward
- 4. A tube composed of a wrought aluminum alloy 6061-T6 is designed to transmit a torque in a control mechanism; however the compressive stress in the tube must not exceed 7000 psi to prevent the tube from buckling. The tube has an outside diameter of 1.25 in., a wall thickness of 0.065 in. and total length of 2.0 ft. Find the maximum torque which can be applied and the angle of twist over the length of the tube at the maximum torque.arrow_forwardAn 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_forwardCalculate 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_forward
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