The state of strain at a point on a plate is measured using the strain rosette shown in Figure Q1. Due to the loadings, the readings from the gauges gauges give Ea = -60 x 106 mm/mm, & +350 x 10-6 mm/mm, and &c = +300 x 10-6 mm/mm. a) Provide the strain tensor. b) Determine the principal strains and corresponding directions (in degrees). c) Draw a complete strain Mohr diagram with labels. Show the given state of strain, principal strains and their orientations in the diagram. d) Is it possible for both plain stress and plain strain to occur concurrently? Explain.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 1:
The state of strain at a point on a plate is measured using the strain rosette shown in
Figure Q1. Due to the loadings, the readings from the gauges give
Ea = -60 x 10-6 mm/mm, b = +350 × 106 mm/mm, and &c = +300 x 106 mm/mm.
a) Provide the strain tensor.
b) Determine the principal strains and corresponding directions (in degrees).
c) Draw a complete strain Mohr diagram with labels. Show the given state of strain,
principal strains and their orientations in the diagram.
d) Is it possible for both plain stress and plain strain to occur concurrently? Explain.
b
45°
Figure Q1
45°
Transcribed Image Text:Question 1: The state of strain at a point on a plate is measured using the strain rosette shown in Figure Q1. Due to the loadings, the readings from the gauges give Ea = -60 x 10-6 mm/mm, b = +350 × 106 mm/mm, and &c = +300 x 106 mm/mm. a) Provide the strain tensor. b) Determine the principal strains and corresponding directions (in degrees). c) Draw a complete strain Mohr diagram with labels. Show the given state of strain, principal strains and their orientations in the diagram. d) Is it possible for both plain stress and plain strain to occur concurrently? Explain. b 45° Figure Q1 45°
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