Assume the plane stress element shown in Fig. E3-a represents the stress a geosynthetic membrane used in a mechanically stabilized earth wall. If the reference state of stress for this element results in the Mohr’s circle plot shown in Fig. E3-b, determine: The principal stresses. The principal directions (angles to the principal planes). The maximum in-plane shear stress.
Assume the plane stress element shown in Fig. E3-a represents the stress a geosynthetic membrane used in a mechanically stabilized earth wall. If the reference state of stress for this element results in the Mohr’s circle plot shown in Fig. E3-b, determine: The principal stresses. The principal directions (angles to the principal planes). The maximum in-plane shear stress.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Assume the plane stress element shown in Fig. E3-a represents the stress a geosynthetic membrane used in a
- The principal stresses.
- The principal directions (angles to the principal planes).
- The maximum in-plane shear stress.
- It is known that the seam, which is rotated 45 deg from the vertical as shown in Fig. E3-c, will fail if subjected to a tensile stress of 25 kPa or a shear stress of 1 kPa. Determine the normal stress and shear stress acting on the seam, and state if the seam will fail due to the loading indicated.
![450
SEAM
Fig. E3-c](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F313c60e2-416e-4823-8bd3-6a52502603c5%2F5e370779-2ebf-4ffd-abe8-ed33f5123ed6%2F50hknpi_processed.png&w=3840&q=75)
Transcribed Image Text:450
SEAM
Fig. E3-c
![40 kPa
20 kPa
* 30 40
O (kPa)
20
20 kPa
40
T (kPa)
Fig E3-a
Fig. E3-b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F313c60e2-416e-4823-8bd3-6a52502603c5%2F5e370779-2ebf-4ffd-abe8-ed33f5123ed6%2Flzygi1c_processed.png&w=3840&q=75)
Transcribed Image Text:40 kPa
20 kPa
* 30 40
O (kPa)
20
20 kPa
40
T (kPa)
Fig E3-a
Fig. E3-b
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