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A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm

A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm
Transcribed Image Text:A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm
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