A plane element is subjected to stress as shown in below figure. Determine the radius of the mohr circle drawn for this state of stress. 40 MPa | 40 MPa 60 MPa
Q: Q2: For the element shown in Figure 2. Use the data from Table 2 Determine the following: 1. The…
A:
Q: * The state of plane stress at a point is represented on the element shown in the figure. The…
A:
Q: For the state of stress given below, a) Determine principal stresses and principal planes b)…
A:
Q: Q2: For the element shown in Figure 2. Use the data from Table 2 Determine the following: 1. The…
A: A perpendicular force applied on a body per unit area is referred to as a stress. There are three…
Q: 6. In a plane stress condition, the components of stress at a point are o, =20 MPa, oy =80 MPa and…
A:
Q: A certain point in the mechanical part has shearing and normal stresses measured in MN/m^2 as shown…
A: Write the given data.
Q: Q2) An element in a plane stress is oriented at an angle 0 = 60° CCW direction. On the inclined…
A: Normal stress Normal stress is the stress occurred when it is subjected to axial load. Shear…
Q: For the state of plane stress shown in Figure-1. t a) Draw Mohr's circle, b) Determine the maximum…
A: Given data:- σx=-20MPa,σy=90MPa,τxy=60MPa Center of mohr's circle=σx+σy2,0=-20+902,0=(35,0) Radius…
Q: The state of plane stress at a point is represented on the element shown in the figure below. (a)…
A:
Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…
A: Write the given values along with suitable variables.
Q: 50 MPa 90 MPa 35 MPа 60 90 MPa 50 MPa 30
A:
Q: 90 MPA 60 MPA 20 MPA
A: Given that, σx=-20 MPa,σy=90 MPa,τxy=60 MPa, Steps to draw mohr's circle: 1. Take direct stress at…
Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…
A:
Q: Q1: A certain point in the mechanical part shown in Figure below. Use Mol determine: (a) the…
A: Givenσx=60 MN/m2=60MPaσy=-50MN/m2=-50MPaτxy=30MN/m2=30MPa
Q: The state of plane stress at a point is represented by the element shown in the figure. в, - 200 Мра…
A: note: Mohr's circle is used to calculated the principle stresses
Q: - The state of plane stress at a point is shown on the element in Figure below. Represent this state…
A:
Q: Using Mohr's circle, determine stress components on an element oriented 60 ° counter- clockwise with…
A: Given σx=100 MPaσy=160 MPaτxy=60 MPaNow the element is oriented 60o counter clockwise so the mohr's…
Q: Determine the equivalent state of stress on an element at the same point oriented 60° clockwise with…
A:
Q: Determine the principle stresses σ1, σ2, σ3 and their orientation φ, if σx, σy and σz are known as…
A:
Q: Please find the question attached.
A:
Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…
A: The stepwise procedure to solve this problem is shown in the following attached image:
Q: The state of plane stress at a point is shown on the element in Figure below. Represent this state…
A: Given: The orientation of element, θ = 45° The stress along x-axis, σx = -10 ksi The stress along…
Q: B) The Figure shows Mohr's circle for a point in a physical object that is subjected to plane…
A:
Q: 1) The curve of stress versus time on the cross section of engine connecting rod is shown in the…
A: Given data: Maximum stress, σmax = 78.61 N/mm2. Minimum stress, σmin = -10.75 N/mm2. Calculate the…
Q: Q.1) For the given state of stress at a point (Normal stresses are 200 & 150 MPa, and Shear stress…
A: Given data:6x=-200MPa6y=-150MPa → compressive normal stressτxy=100MPaθ=30°To find:1) Normal…
Q: The state of stress at a given point is given in the following figure. Use Mohr’s circle to find: a)…
A:
Q: (7) For the state of plane stress shown in the figure, determine the normal and shear stresses…
A: Given data: The stress in the x-direction is σx=-50 MPa The stress in the y-direction is σy=0 MPa…
Q: For a point under a plane state of stress, the stresses on the vertical and horizontal planes are…
A:
Q: Oy Ot Txy Tnt Ox On (a) (b) On the surface of a structural member, stresses are given as ox=67,9…
A: The normal stress after rotation is given by- σn=σx+σy2+σx-σy2cos2α+τxysin2α In first case - σx=67…
Q: 2- The state of plane stress at a point with respect to the xy-axes is shown in Fig, find the normal…
A: To find : The normal and shear stress on section inclined at an angle of 30° Given : The stress in…
Q: A structural member is subjected to a set of forces and moments. Each separately produces the stress…
A:
Q: A point on the surface of a mechanical component has the following state of plane stress o. = 90…
A: Given:- σx=90 MPaσy= -50 MPaτxy= 60 MPaTo find:-a) Draw mohrs circleb) Principal stresses and…
Q: Oy Ot Txy Tnt Ox On (b) (a) On the surface of a structural member, stresses are given as ox=61 MPa,…
A: Given data: Stresses on the surface of structural member σx=61 Mpa σy=32.7 Mpa τxy=-28.1 Mpa α=54.8°…
Q: 3. For the given state of stress, determine the principal planes, the principal stresses, and…
A:
Q: What is the absolute maximum shear stress in [MPa] of the generalised plane stress shown with Oz =…
A:
Q: The state plane stress at a point is represented by the stress element below. Determine the stresses…
A:
Q: Determine the equivalent state of stress on an element at the same point which represents the…
A: find the normal stress on the element with orientation 31.7 °.
Q: The greatest normal stress, b) The greatest shear stress, c) Calculate the shear stress at point a.
A: GIVEN :-Squre hollow bar : h=100mmlength : L=1100mmthickness: t=10 mm SOLUTION :- using force…
Q: For the state of plane stress, stress components are shown on the element in Figure Question 1: a)…
A:
Q: An element in plane stress is subjected to stresses: 0, = 17 MPa, o, = 12 MPa, and Txy = 15MPa, as…
A:
Q: 1) For the state of stress shown in figure, use the Mohr's circle method to determine (a) The…
A:
Q: An element in plane stress is subjected to stresses o, = -60 MPa, oy = -40MPA, and Ty = 35MPA, as…
A:
Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…
A:
Q: Oy Ot Txy Tnt Ox On n (b) (a) On the surface of a structural member, stresses are given as ox=67,9…
A: The stress stress after rotation is given by - τnt=-σx-σy2sin2α + τxycos2α In first case-…
Q: In the following Figure using given material properties. a) Determine the internal forces and…
A: Thermal strain in a material occurs when there is a change in the temperature of the substance. The…
Q: A certain point in the mechanical part has shearing and normal stresses measured in MN/m^2 as shown…
A: In Mohr's circle we take a suitable scale to construct the circle. Accordingly we draw the circle.
Q: 2.7. The principal stresses at a given point are o1 =10 MPa, ơ2=-100 MPa. Sketch Mohr's circle for…
A: Given data: The positive principal stress, σ1=10 MPa. The negative principal stress, σ2=-100 MPa.…
Q: * 'Determine the ox 30 MPa 10 MPa 20 MPa The state of plane stress at a point is represented on the…
A: find the segma x in oriented element.
Q: The stresses shown in the figure act at a point in a stressed body. If o = 115 MPa in the direction…
A:
Step by step
Solved in 2 steps with 2 images
- -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aAt a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clementThe polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and = -120 psi, as shown by the plalte-stress element in the figure part a. Determine the normal and shear stresses acting on a seam oriented at an angle 01300 to the element, as shown in the figure part b. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.
- An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the \y axes, that is, determine crv, tr(_, and t, Show the results on a sketch of an clement oriented at B .An element in plane stress on the fuselage of an airplane (figure part a) is subjected to compressive stresses with a magnitude of 42 MPa in the horizontal direction and tensile stresses with a magnitude of 9.5 MPa in the vertical direction (sec figure part b). Also, shear stresses with a magnitude of 15.5 MPa act in the directions shown. Determine the stresses acting on an element oriented at a clockwise angle of 40g from the horizontal. Show these stresses on a sketch of an element oriented at this angle.Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
- A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced)..4-2 An element in uniaxial stress is subjected to tensile stresses sx= 57 MPa. as shown in the figure. Using Mohr’s circle, determine the following. (a) The stresses acting on an clement oriented at an angle 0 = 33° from the x axis (minus means clockwise). (b) The maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements.-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element. 7.3-18 a=2I50kPa, ay=375kPa.Txy.=-460kPa
- An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.-18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a) Determine the principal stresses and show them on a sketch of a properly oriented element. (b) Determine the maximum shear stresses and associated normal stresses and show them on a sketch of a properly oriented element.