Problem 2: The short cylindrical block of 2014-T6 aluminum, having an original diameter of 0.5 in. and a length of 1.5 in., is placed in the smooth jaws of a vise and squeezed until the axial load applied is 800 lb. Given young's modulus 10.6x10 psi and Poisson ratio equal to 0.35. a) Determine the decrease in its length b) Determine its new diameter. 800 Ib 800 Ib
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.
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Problem 2:
The short cylindrical block of 2014-T6 aluminum, having an original diameter of
0.5 in. and a length of 1.5 in., is placed in the smooth jaws of a vise and squeezed
until the axial load applied is 800 lb. Given young's modulus 10.6x10 psi and
Poisson ratio equal to 0.35.
a) Determine the decrease in its length
b) Determine its new diameter.
800 Ib
800 I
Solution:
Problem 3:
A rectangular rod made of an aluminum alloy is subjected to a tensile force Falong its longitudinal axis. The
rod has an initial length Le-Im and a rectangular cross-section with initial width w - 20 mm and initial
height 25 mm.
The mechanical properties of the aluminum alloy are:
- Modulus of Elasticity E-100 GPa
- Yield stress YS - 320 MPa
Poisson's ratioy03
1. Ifa force F 80AN is arpliedto the rod determine the final lensth the with w and height h of the
cross sectionn
What is the maximum foroe Fthat can be
drfrmatim](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb275262-aca4-4740-8cd9-fd27478a033a%2F0a6ac080-3368-4777-b60b-025cf65ef693%2F0x9581s_processed.jpeg&w=3840&q=75)
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