The state of stress at a point in a structural member may be represented by a two-dimensional stress system in which o, = 100 N/mm², 6, = -80 N/mm² and r,y = 45 N/mm?. Determine the direct stress on a plane inclined at 60° to the positive direction of a, and also the principal stresses. Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your answers by a graphical method. Ans. 6, = 16 N/mm², o1 = 110.6 N/mm², on=-90.6 N/mm², 0 = – 13.3° and –103.3°.

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
The state of stress at a point in a structural member may be represented by a two-dimensional stress
system in which o, =100 N/mm², o,=-80 N/mm² and 7,, =45 N/mm². Determine the direct
stress on a plane inclined at 60° to the positive direction of o, and also the principal stresses.
Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your
answcrs by a graphical method.
Ans. 6,= 16 N/mm², o1 =110.6 N/mm², ơn=-90.6 N/mm², 0= –13.3° and –103.3°.
!!
Transcribed Image Text:The state of stress at a point in a structural member may be represented by a two-dimensional stress system in which o, =100 N/mm², o,=-80 N/mm² and 7,, =45 N/mm². Determine the direct stress on a plane inclined at 60° to the positive direction of o, and also the principal stresses. Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your answcrs by a graphical method. Ans. 6,= 16 N/mm², o1 =110.6 N/mm², ơn=-90.6 N/mm², 0= –13.3° and –103.3°. !!
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Methods to Determine Vertical Stress
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
  • SEE MORE 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