The state of stress at a certain point in a stressed body is shown in figure. The magnitudes of normal stresses in x & y directions are 100 MPa& 100 MPa respectively. Determine the radius of Mohr's circle representing this state of stress (in MPa). Oxt Oy Ox

The state of stress at a certain point in a stressed body is shown in figure. The magnitudes of normal stresses in x & y directions are 100 MPa& 100 MPa respectively. Determine the radius of Mohr's circle representing this state of stress (in MPa). Oxt Oy Ox

Principles of Foundation Engineering (MindTap Course List)

9th Edition

ISBN:9781337705028

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 8.6P: Two line loads q1 and q2 of infinite lengths are acting on top of an elastic medium, as shown in...

See similar textbooks

Related questions

Q: Q3 / An element in plane stress at the surface of a large machine is subjected to stresses shown…

A: Draw the state of stress diagram:-

Q: A point in a strained material is subjected to the stresses as shown in figure. The normal stress…

A: For a pointed strained material,to find The normal stress acting on plane inclined at 30o…

Q: 2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The…

A: Summary:-So the stress is 9MPAExplanation:

Q: 1) The state of plane stress at a point is shown on the element in Figure. Determine the maximum…

A: σx = -80 Mpaσy = 50 Mpaτxy = -25 MPa. To determine = Maximum shear stress

Q: The state of stress in a deformable body is shown in the figure. Consider transformation of the…

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses…

A: Given data : Normal stress in X direction :σX=-107 MPaNormal stress in Y direction :σY=172 MPaShear…

Q: The stresses shown in the figure act at a point in a stressed body. Determine the normal and shear…

A: Given : To Find : Determine the normal and shear stresses at this point in the inclined plane ?

Q: : The state of plane stress at a point is represented by the stress element shown in figure 2. Apply…

A: Major principal stressδ1 = -80MpaMinor principal stressδ2 = 50MpaInclined angle θ = 30∘

Q: Figure below shows the stresses on an element ABCD. Determine the sum of normal and tangential…

Q: A state of stress is specified in the figure shown below. Determine the Normal stress (mPa) on the…

A: The normal stress on vertical plane, Px=-63MPaThe normal stress on horizontal plane, Py=-80MPaThe…

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If 0=31…

Q: The stresses shown in the figure act at a point on the free surface of a machine component. If o= 45…

Q: The stresses at a point in a bar are o1 = 28 N/mm2 (tensile) and o2=12N/mm2 (compressive) as shown…

A: In the question angle made by inclined surface with major principle plane is -35 because we have…

Q: The principal stresses in N/mm² on a rectangular element are shown in the below figure. The…

A: Given, σ1 = 400 N/mm2σ2 =-100N/mm2θ = 30°

Q: A load of 1000 N is applied as shown in figure, given cross-sectional area of bar 1 & 2 is 100 mm² &…

A: Axial load magnitude P=1000 N, Cross-sectional area of bar 1 (A1)=100 mm2 Cross-sectional area of…

Q: The stresses shown in the figure act at a point in a stressed body. Determine the normal and shear…

A: Given data Find normal and shear stresses on inclined plane

Q: The state of stresses in the x and y directions at a point in a given material is shown in the…

A: step 1-

Q: The state of stresses in the xand y directions at a point in a given material is shown in the figure…

A: step 1-

Q: The state of stresses in the x and y directions at a point in a given material is shown in the fig…

Q: The hydrostatic stress for the state of stress represented by σij given below is MPa 50 50 125 75 75…

A: Given- State of stress given- σ11=100,σ22=125,σ33=75 It is needed to find the hydrostatic stress.

Q: 2. For the state of stress shown, determine the range of value of for which the normal stress is…

Q: 0x - 16Мра бу = - 48М ра, т гу - 48 Mpa I 16 Mpa 60 Mpa - 60 Мра

A: State of stress of given as shown- σx=16 MPa,σy=-48 MPa,τxy=60 MPa. To Find- The values of…

Q: At a point in a machine component that is subjected to plane stress, the normal and shear stresses…

Q: Q3.For the stress state shown below: 300 MPa 100 MPa 100 MPa 200 MPa -200 MPa 100 MPa 100 MPa 300…

Q: 10.Stress transformation. From the figure below, find the orientation of the maximum principal…

A: Given:- σx=50 MPaσy=-10 MPaτxy=40 MPa To find:- Direction of maximum principal stress Magnitude of…

Q: The state of stress at a certain point in a stressed body is as shown in the figure. Normal stress…

Q: ress y at the point in MPa. 3. Calculate the absolute value of the shear stress xy at the point in…

A: Given σx=59mpaσy=-48mpaτxy=-82mpa Find radius and centre of mohr's circle and plot it

Q: 3 - A strain gauge is attached to the side of a beam, as shown by the cross-section view in the…

A: Given:- Strain measured by gauge=-300μ=-300×10-6 mm/mmE=75 GPa To find:- Plot of axial stress…

Q: Draw the three Mohr's circles that describe the state of stress in (Figure 1). Figure 25 ksi 1 of 1

Q: Example: The state of plane stress at a point is represented by the stress element below. Draw the…

A: Given: σx=80 MPaσy=50 MPa Consider the figure shown below.

Q: a. What is the maximum stress in the wire? b. Does the stress increase or decrease if the radius of…

A: Given Data: The Young's modulus of steel is E = 200 GPa. The diameter of the wire is d = 1.0 mm. The…

Q: Consider a point ina structural member that is subjected to plane stress. Normal and shear stresses…

A: As per company policy, we are supposed to answer the first question from the multiple-part question.…

Question

The state of stress at a certain point in a stressed
body is shown in figure. The magnitudes of normal
stresses in x & y directions are 100 MPa& 100 MPa
respectively. Determine the radius of Mohr's circle
representing this state of stress (in MPa).
Oy
0x4
9.
Ox

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given-

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Stresses in saturated soil without seepage

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

In the Figure 5, the normal stress on the cross- sectional area is (in Mpa): Figure 5: у P = 400 KN X 30 mm 1000 mm 30° Area 20 mm الاختيارات 577 O 597 587 O 567
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Let T = 39 MPa and o = 19 MPa. Determine the center ocenter of the corresponding in- plane Mohr's circle. 50 MPa -21.56 MPa O -17.85 MPa O -10.87 MPa -14.07 MPa -15.50 MPa
Solve it correctly using the equations
The stresses shown in the figure act at a point on the free surface of a machine component. If o = 22.4 ksi in the direction shown, determine the shear stress Txy at the point. Txy O 14.48 ksi 11.51 ksi O 13.53 ksi O 10.63 ksi O 8.84 ksi 5.0 ksi 24° 2.8 ksi
The state of stress at a point is shown on the element. (Figure 1) Figure 12 ksi 1 of 1 30 ksi Part B Determine the orientation of principal planes of stress. Enter your answers in degrees to three significant figures separated by a comma. IVE ΑΣΦ | 11 | vec 0,0,19.33,109.33 Submit Previous Answers Request Answer * Incorrect; Try Again; 2 attempts remaining Part C ? Determine the maximum in-plane shear stress. Express your answer in kilopounds per square inch to three significant figures. Tmax in-plane 19.2 ksi
Question The state of 2D-stress at a point is given by the following matrix of stress: [0x %]-[ 100 30 30 20 = MPa 0. What is the magnitude of maximum shear stress(Radius of Mohr's circle) in MPa?
(Problems No. 1- 3) The state plane stress at a point is represented by the stress element below. Determine the stresses acting on an element oriented 30 degree counterclockwise respect to the original element. Calculate the normal stress at the y-axis 60 MPa 20 MPа 90 MPа O a. 75.60 MPa O b. -24.60 MPa 69.8 MPa O d. -39.8MPA
The stresses shown in the figure act at a point on the free surface of a machine component. If o = 24.6 ksi in the direction shown, determine the shear stress Txy at the point. 2.8 ksi Oy 5.0 ksi 24° O 11.45 ksi O 10.38 ksi O 8.35 ksi 9.30 ksi O 15.74 ksi
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If o = 16 MPa in the direction shown, determine the principal stresses at the point. 10 MPa 26 MPa O 35.56 MPa and -14.11 MPa 54.80 MPa and -17.81 MPa O 27.65 MPa and -9.78 MPa O 46.71 MPa and -11.05 MPa O 39.17 MPa and-13.17 MPa
The following stress element represents the stress state at point A of the structure in the figure below. Determine the maximum shear stress in this condition. 52.8 MPa 26.4 MPa O a. 32.78 MPa O b. 29.65 MPa Oc. 40.25 MPa O d. 37.34 MPa
Question 2 Referring to the stresses on the surfaces of an element in Figure Q.1, determine : (a) principal plane and principal stresses (b) the maximum shear stress and the corresponding normal stress, and (c) the range of angle rotation q which give the value of shear stress txy, equal or less than 40 MPа. 30 MPа 80 MPa
Question 5 The state of plane stress at a point on a body is represented on the element shown in the Figure Q5. Using Mohr's circle, determine: (a) The principal stresses and the orientation acting at this point. (b) The maximum in-plane shear stress and associated average normal stress (c) Represent the state of stress on an elementoriented 30° counterclockwise from this position. 90 MPa 60 MPa 20 MPa Figure Q5