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
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Properties of materials
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning