PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, ɛ. = 300 (10 ), ɛ, = -480 (10°) and yy = -750 (10*). Based on this information, a) Determine the equivalent in-plane strains on an element oriented at an angle of 60° clockwise from the original position and sketch the deformed element due to these strains within the x-y plane. b) Determine the in-plane principal strains and specify the orientation of the element and show how the strains deform the element within the x-y plane. c) Determine the maximum in-plane shear strain and average normal strain. Specify the orientation of the element and show how the strains deform the element within the x-y plane.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.4P: An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy =...
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PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, Ex = 300 (10
), E, = -480 (10) and Yay = -750 (10). Based on this information,
a) Determine the equivalent in-plane strains on an element oriented at an angle of 60° clockwise
from the original position and sketch the deformed element due to these strains within the x-y
plane.
b) Determine the in-plane principal strains and specify the orientation of the element and show how
the strains deform the element within the x-y plane.
c) Determine the maximum in-plane shear strain and average normal strain. Specify the orientation
of the element and show how the strains deform the element within the x-y plane.
Transcribed Image Text:PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, Ex = 300 (10 ), E, = -480 (10) and Yay = -750 (10). Based on this information, a) Determine the equivalent in-plane strains on an element oriented at an angle of 60° clockwise from the original position and sketch the deformed element due to these strains within the x-y plane. b) Determine the in-plane principal strains and specify the orientation of the element and show how the strains deform the element within the x-y plane. c) Determine the maximum in-plane shear strain and average normal strain. Specify the orientation of the element and show how the strains deform the element within the x-y plane.
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