A testing laboratory for an engineering consortium has been asked to characterise the fatigue life properties of two materials (steel and aluminium bars of unknown grades) having identical geometry which will be used in the analysis for a failure accident report. Both bars are of square shape of 200 mm and the failed structure is known to operate under the following service conditions; 1. Both bars undertake a service temperature of T = 260 °C (500 °F) 2. The reliability target for both materials when they first designed was 99.9% Additionally, the steel is observed to have been hot-rolled finish and the ultimate tensile properties for both materials are SUT, steel = 650 MPa and SUT, aluminium = 340 MPa, respectively; a) Firstly, for the steel, devise an estimation of the S-N diagram based on the available

A testing laboratory for an engineering consortium has been asked to characterise the fatigue life properties of two materials (steel and aluminium bars of unknown grades) having identical geometry which will be used in the analysis for a failure accident report. Both bars are of square shape of 200 mm and the failed structure is known to operate under the following service conditions; 1. Both bars undertake a service temperature of T = 260 °C (500 °F) 2. The reliability target for both materials when they first designed was 99.9% Additionally, the steel is observed to have been hot-rolled finish and the ultimate tensile properties for both materials are SUT, steel = 650 MPa and SUT, aluminium = 340 MPa, respectively; a) Firstly, for the steel, devise an estimation of the S-N diagram based on the available

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Design Against Fluctuating Loads

Machine elements are subjected to varieties of loads, some components are subjected to static loads, while some machine components are subjected to fluctuating loads, whose load magnitude tends to fluctuate. The components of a machine, when rotating at a high speed, are subjected to a high degree of load, which fluctuates from a high value to a low value. For the machine elements under the action of static loads, static failure theories are applied to know the safe and hazardous working conditions and regions. However, most of the machine elements are subjected to variable or fluctuating stresses, due to the nature of load that fluctuates from high magnitude to low magnitude. Also, the nature of the loads is repetitive. For instance, shafts, bearings, cams and followers, and so on.

Design Against Fluctuating Load

Stress is defined as force per unit area. When there is localization of huge stresses in mechanical components, due to irregularities present in components and sudden changes in cross-section is known as stress concentration. For example, groves, keyways, screw threads, oil holes, splines etc. are irregularities.

Question

A testing laboratory for an engineering consortium has been asked to characterise the fatigue life
properties of two materials (steel and aluminium bars of unknown grades) having identical
geometry which will be used in the analysis for a failure accident report. Both bars are of square
shape of 200 mm and the failed structure is known to operate under the following service
conditions;
1. Both bars undertake a service temperature of T = 260 °C (500 °F)
2. The reliability target for both materials when they first designed was 99.9%
Additionally, the steel is observed to have been hot-rolled finish and the ultimate tensile properties
for both materials are SuT, steel = 650 MPa and SuT, aluminium = 340 MPa, respectively;
a) Firstly, for the steel, devise an estimation of the S-N diagram based on the available
information provided above. Subsequently, sketch the curve on log-log scale.
i. From the same sketch, anticipate the design lifecycles of the steel part if it's being
subjected to a fully-reversed bending stress of 120 MPa.
ii. Subsequently, draw informed conclusions on the constructed diagram when it's cross-
analysed against the failed part?
b) And secondly, for the aluminium, also devise an approximation S-N diagram for such
nonferrous material. Subsequently, sketch the curve on log-log scale by specifying the
threshold for the uncorrected fatigue strength is at 5.25 x 10 cycles.

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