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The state of strain at a point in a rectangular block of material using an x-y coordinate system is given by: • €xx = 51x10-4 €yy = 18 ×10-4 • Yxy=-4x10-4 ● Part One a) Which element below best represents the deformed element due to the state of strain in the x-y plane?

The state of strain at a point in a rectangular block of material using an x-y coordinate system is given by: • €xx = 51x10-4 €yy = 18 ×10-4 • Yxy=-4x10-4 ● Part One a) Which element below best represents the deformed element due to the state of strain in the x-y plane?

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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b) What is the orientation of maximum shear strain, 0s, as measured from the positive x-axis? 0s = degrees c) What is the corresponding value for maximum shear strain, Ymax? Ymax = Part Two Consider that the strain of state is homogenous (the same at all locations), and the block has original dimensions: wo 140 mm (width is dimension along the x-direction) • do = 35 mm (depth is dimension along the y-direction) What is the change in dimensions of the block measured along the x and y directions after deformation? (Assume positive is extension and include a negative if contracting) a) Change in width: Aw= b) Change in depth: Ad= Hint: Consider the definition of average normal strain, and the value of normal strains in the block in the x and y directions. You may neglect the shear deformation in the above calculations. mm mm
Transcribed Image Text:b) What is the orientation of maximum shear strain, 0s, as measured from the positive x-axis? 0s = degrees c) What is the corresponding value for maximum shear strain, Ymax? Ymax = Part Two Consider that the strain of state is homogenous (the same at all locations), and the block has original dimensions: wo 140 mm (width is dimension along the x-direction) • do = 35 mm (depth is dimension along the y-direction) What is the change in dimensions of the block measured along the x and y directions after deformation? (Assume positive is extension and include a negative if contracting) a) Change in width: Aw= b) Change in depth: Ad= Hint: Consider the definition of average normal strain, and the value of normal strains in the block in the x and y directions. You may neglect the shear deformation in the above calculations. mm mm
Question 3 - Strain Transformation The state of strain at a point in a rectangular block of material using an x-y coordinate system is given by: • €xx = 51×10-4 €yy = 18 ×10-4 Yxy=-4x10-4 ● ● Part One a) Which element below best represents the deformed element due to the state of strain in the x-y plane? 6 2 B) D) D) F) Hint: Consider the relative magnitude and sign of each component of strain
Transcribed Image Text:Question 3 - Strain Transformation The state of strain at a point in a rectangular block of material using an x-y coordinate system is given by: • €xx = 51×10-4 €yy = 18 ×10-4 Yxy=-4x10-4 ● ● Part One a) Which element below best represents the deformed element due to the state of strain in the x-y plane? 6 2 B) D) D) F) Hint: Consider the relative magnitude and sign of each component of strain
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