2xy tan20p 2 Principal stress: 01,2 = ) + Txy² (Ox-Gy)/2 -(0x-0y)/2 Ox+0y + Txy 2 tan20, σανg 2 maximum in-plane shear stress: Tmax = Txy The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work.
2xy tan20p 2 Principal stress: 01,2 = ) + Txy² (Ox-Gy)/2 -(0x-0y)/2 Ox+0y + Txy 2 tan20, σανg 2 maximum in-plane shear stress: Tmax = Txy The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Question

Transcribed Image Text:Principal stress: 01,2
Ox+0y
tan20, =
Txy
2
(Ox-0y)/2
2
maximum in-plane shear stress: Tmax
*) :
+ Txy? tan20s
-(0x-0y)/2
Ox+0y
σανg
Txy
2
The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the
principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane
shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your
work.
57 MPa
28 MPa
42 MPa
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Knowledge Booster
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.Recommended textbooks for you


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning


Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning

Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education


Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning