Homework Answers
Question 3 Consider the following state of stress at a point 10 12 13 ơ-12 11 151 MPa. 13 15 20 C...
Question 3 Consider the following state of stress at a point 10 12 13 ơ-12 11 151 MPa. 13 15 20 Consider a section cut through this point with normal vectorn(/2)e, +(1/V2)e,. a Use Cauchy's Law to calculate the components t, t, and t, of the surface traction vector b) (force per unit area) acting on this section cut at this point Calculate the magnitude (i.e. the norm) of the surface traction, the normal stress ơ, and resultant shear stress...
For x-1 and the given stress matrix What is the x-component of the traction vector acting...
For x-1 and the given stress matrix What is the x-component of the traction vector acting on a plane normal to the negative y axis
Problem 1 (10pts) The components of stress at a point are given as right. Compute the...
Problem 1 (10pts) The components of stress at a point are given as right. Compute the effective/von Mises stress o Also determine the components of stress vector T( σ/) if this stress acts on the plane 2x+ 3y-52-5 0. (Note, first find the unit normal vector to this surface.) σ- ,=13-2-31 MPa 1-32丿 Extra Credit (5pts) Find the three principal stresses for this state of stress. Also determine the "principal direction/vector' of the largest tensile principal stress.
The state of stress at a point on a body is given by the following stress...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
8. Refer to the axial loading problem 3 above. In that problem you were asked to...
8. Refer to the axial loading problem 3 above. In that problem you were asked to calculate normal and shear stress components on a given plane (45° CCW as shown in that figure). Considering it as 2D plane stress problem draw a Mohr's circle and determine the normal and shear stress components on the given plane from the Mohr's circle this time. Calculate the quantities considering the geometry (which means you don't need to draw the Mohr's circle in scale...
Please answer quickly will rate highly Problem 2-(20 points) The 2-dimensional stress state at a material...
Please answer quickly will rate highly
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses acting on it: on the surface of a piece of machinery has the following 4 10 ksi 8 ksi 12 ksi 50° y Find the length change per unit length (normal strain) of the dashed line. E = 10,000 ksi and v = 0.25.
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses...
2. Let the components of a stress matrix at a point P in a body be...
2. Let the components of a stress matrix at a point P in a body be given by (in MPa) σ11 = 63 MPa; σ12 =-63 MPa; 013 = 42 MPa ơ33-:-21 MPa (a) Show these stresses on a cubic element enclosing the point P (b) Calculate the traction vector on a plane passing through the point P and oriented at n- 2e1 3e2 +6e3)
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plan...
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
Question 5 (1 mark) Attempt 1 In a solid body, the six components of the stress at a point P, are given by: σ,-90 M...
Question 5 (1 mark) Attempt 1 In a solid body, the six components of the stress at a point P, are given by: σ,-90 MPa, ơy-85 MPa, σ,--80 MPa. Tyz 26 MPa, Txz74 MPa, Txy50 MPa If the normal vector to the body at point P is determine the normal stress at the point P (in MPA) Enter your answer in decimal form. For example: 50.1175345 You can round your answer to five decimal places. For example: 50.11753
Question 5...
Question 3 Consider the following state of stress at a point 10 12 13 ơ-12 11 151 MPa. 13 15 20 Consider a section cut through this point with normal vectorn(/2)e, +(1/V2)e,. a Use Cauchy's Law to calculate the components t, t, and t, of the surface traction vector b) (force per unit area) acting on this section cut at this point Calculate the magnitude (i.e. the norm) of the surface traction, the normal stress ơ, and resultant shear stress...
For x-1 and the given stress matrix What is the x-component of the traction vector acting on a plane normal to the negative y axis
Problem 1 (10pts) The components of stress at a point are given as right. Compute the effective/von Mises stress o Also determine the components of stress vector T( σ/) if this stress acts on the plane 2x+ 3y-52-5 0. (Note, first find the unit normal vector to this surface.) σ- ,=13-2-31 MPa 1-32丿 Extra Credit (5pts) Find the three principal stresses for this state of stress. Also determine the "principal direction/vector' of the largest tensile principal stress.
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
8. Refer to the axial loading problem 3 above. In that problem you were asked to calculate normal and shear stress components on a given plane (45° CCW as shown in that figure). Considering it as 2D plane stress problem draw a Mohr's circle and determine the normal and shear stress components on the given plane from the Mohr's circle this time. Calculate the quantities considering the geometry (which means you don't need to draw the Mohr's circle in scale...
Please answer quickly will rate highly
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses acting on it: on the surface of a piece of machinery has the following 4 10 ksi 8 ksi 12 ksi 50° y Find the length change per unit length (normal strain) of the dashed line. E = 10,000 ksi and v = 0.25.
Problem 2-(20 points) The 2-dimensional stress state at a material point normal and shear stresses...
2. Let the components of a stress matrix at a point P in a body be given by (in MPa) σ11 = 63 MPa; σ12 =-63 MPa; 013 = 42 MPa ơ33-:-21 MPa (a) Show these stresses on a cubic element enclosing the point P (b) Calculate the traction vector on a plane passing through the point P and oriented at n- 2e1 3e2 +6e3)
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
The state of stress at a point is shown on the element. Determine (a) the stress components acting on the inclined plane AB, (b) the principal stresses, and (c) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. Sketch the results on each element. 2 ksi 3 ksi 30° 4 ksi
Question 5 (1 mark) Attempt 1 In a solid body, the six components of the stress at a point P, are given by: σ,-90 MPa, ơy-85 MPa, σ,--80 MPa. Tyz 26 MPa, Txz74 MPa, Txy50 MPa If the normal vector to the body at point P is determine the normal stress at the point P (in MPA) Enter your answer in decimal form. For example: 50.1175345 You can round your answer to five decimal places. For example: 50.11753
Question 5...
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