Mohr's circle is shown for a point in a physical object that is subjected to plane stress. a) b) c) Determine the stresses x, y, and Txy and show them on a stress element. Determine Op1, p2, Op. Tmax ip, Save and es and show them in an appropriate sketch. Determine the stresses in the plane defined by an orientation of 0 = + 40° 1 grid square= 5 MPa O ANSWERS: a.) see image below b.) see sketch below Op1= 23.01 MPa (T); Op2 = 63.01 MPa (C); Op = +17.77° Tmax ip = -43.01 Mpa Jave 20 MPa (C) 0s= -27.23° c.) dx = 50.70 MPa (C); Tx'y=+30.127 MPa 25 MPa A15 MPa 55 MPa 20 MPa 43.01 MPa 17.77⁰ X 63.01 MPa 23.01 MPa

Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
Publisher:Braja M. Das, Khaled Sobhan
Chapter10: Stresses In A Soil Mass
Section: Chapter Questions
Problem 10.1CTP: EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on...
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Mohr's circle is shown for a point in a physical
object that is subjected to plane stress.
a)
b)
c)
Determine the stresses x, y, and Txy and
show them on a stress element.
Determine Op1, Op2, Op. Tmax ip, Save and s
and show them in an appropriate sketch.
Determine the stresses in the plane defined
by an orientation of 0 = + 40°
1 grid square= 5 MPa
-5
O
ANSWERS:
a.) see image below
b.) see sketch below
c.) 0x'
Op1= 23.01 MPa (T);
Op2 = 63.01 MPa (C);
Op = +17.77°
Tmax ip = -43.01 Mpa
Jave 20 MPa (C)
0s= -27.23°
= 50.70 MPa (C); Tx'y' = +30.127 MPa
25 MPa
A15 MPa
55 MPa
20 MPa
43.01 MPa
17.77⁰
X
63.01 MPa
23.01 MPa
Transcribed Image Text:Mohr's circle is shown for a point in a physical object that is subjected to plane stress. a) b) c) Determine the stresses x, y, and Txy and show them on a stress element. Determine Op1, Op2, Op. Tmax ip, Save and s and show them in an appropriate sketch. Determine the stresses in the plane defined by an orientation of 0 = + 40° 1 grid square= 5 MPa -5 O ANSWERS: a.) see image below b.) see sketch below c.) 0x' Op1= 23.01 MPa (T); Op2 = 63.01 MPa (C); Op = +17.77° Tmax ip = -43.01 Mpa Jave 20 MPa (C) 0s= -27.23° = 50.70 MPa (C); Tx'y' = +30.127 MPa 25 MPa A15 MPa 55 MPa 20 MPa 43.01 MPa 17.77⁰ X 63.01 MPa 23.01 MPa
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