A bar with varying cross section is subjected to various forces as shown below. Compute: a) Stresses in each section b) strain in each section c) total extension of the bar. Take E = 2.1x105 N/mm² P1=17 kN P3=38 kN P4=21 kN 400 mm P₁4 1000 mm B 800 mm mm² P2 P3+ 1500 mm 600 mm 800 mm D P4
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.
![A bar with varying cross section is subjected to various forces as shown below.
Compute: a) Stresses in each section b) strain in each section c) total extension of the
bar. Take E = 2.1x105 N/mm²
P1=17 kN P3=38 kN P4-21 KN
400 mm
P₁+
A
1000 mm
B
800 mm²
P2
P3+
1500 mm
600 mm²
800 mm
P4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83904422-fd88-4a5c-86ee-e768b9a74128%2Fa85412f5-592a-41cd-ab7f-f594d6423436%2Fcz9epx_processed.png&w=3840&q=75)
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