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10.2 A soil element is subjected to the boundary stresses shown in the following figure. Determine...
10.1 A soil element is subjected to the boundary stresses shown in the figure below. Determine...
10.1 A soil element is subjected to the boundary stresses shown in the figure below. Determine analytically (not graphically) the normal stress σ, and the shear stress Tg on the θ-plane as identified. Note that only the magni- tudes of the shear stress are shown in the figure. Their correct signs shall be determined according to the sign convention of Figure 10.2 for the analytical equations 40 kPa 20 kPa 20 kPa θ-plane 100 kPa 100 kPa 20 20 kPa...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
(a) If the wide-flange beam shown in Figure Q4a is subjected to a shear of V = 23 kN
(a) If the wide-flange beam shown in Figure Q4a is subjected to a shear of V = 23 kN i. Calculate the moment of inertia of the cross section about the neutral axis.ii. Determine the shear stress on the web at A.(b) The state of stress at a point is shown on the element in Figure Q4b. Determine graphically using Mohr's circle i. The principal stresses. ii. The orientation of the principal planes.iii. The maximum in-plane shear stress and average normal stress at...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the element is also subject to: Average normal stress Undefined normal stress O Maximum normal stress O Zero normal stress Question 43 On Mohr's Circle, the sign convention is: O Positive normal stress to the right, positive shear stress down Positive normal stress to the left, positive shear stress up o Positive normal stress to the left, positive shear stress down o Positive normal stress...
Learning Goal: To be able to identify the initial stresses and the angle of rotation, including t...
Learning Goal: To be able to identify the initial stresses and
the angle of rotation, including the correct signs, and use these
in the stress-transformation equations to find the stress on a
plane or element at a different angle than the original. The method
of calculating the state of stress on an inclined plane is tedious,
prone to error, and incomplete—if we calculate σx′ and τx′y′, we
have to do a separate calculation to determine σy′. Consider the
stress element...
1000 psi 9. For stress conditions on the element shown, find the principal stresses and the...
1000 psi 9. For stress conditions on the element shown, find the principal stresses and the plane on which the maximum principal stress acts. Use the analytical method (stress transformation equations). Draw the two principal stress 3000 psl 3000 psi 5000 psi elements and maximum shear element
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stre...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
2) The plane state of stresses at a point is as shown in the figure. Using...
2) The plane state of stresses at a point is as shown in the figure. Using the methods of your preference determine 1 ksi a) Principal stresses and maximum in-plane shear and represent them on a triangular element indicating angles and directions. 3 ksi 60° b) The normal and shear stress along plane ab
A soil element is shown in Figure 10.30. Determine the following:
Determine the following:a) Maximum and minimum principal stressesb) Normal and shear stresses on the plane ABUse Equations (10.3), (10.4), (10.6), and (10.7)
10.1 A soil element is subjected to the boundary stresses shown in the figure below. Determine analytically (not graphically) the normal stress σ, and the shear stress Tg on the θ-plane as identified. Note that only the magni- tudes of the shear stress are shown in the figure. Their correct signs shall be determined according to the sign convention of Figure 10.2 for the analytical equations 40 kPa 20 kPa 20 kPa θ-plane 100 kPa 100 kPa 20 20 kPa...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
When an element is oriented such that it is subjected to maximum in-plane shear stress, the element is also subject to: Average normal stress Undefined normal stress O Maximum normal stress O Zero normal stress Question 43 On Mohr's Circle, the sign convention is: O Positive normal stress to the right, positive shear stress down Positive normal stress to the left, positive shear stress up o Positive normal stress to the left, positive shear stress down o Positive normal stress...
Learning Goal: To be able to identify the initial stresses and
the angle of rotation, including the correct signs, and use these
in the stress-transformation equations to find the stress on a
plane or element at a different angle than the original. The method
of calculating the state of stress on an inclined plane is tedious,
prone to error, and incomplete—if we calculate σx′ and τx′y′, we
have to do a separate calculation to determine σy′. Consider the
stress element...
1000 psi 9. For stress conditions on the element shown, find the principal stresses and the plane on which the maximum principal stress acts. Use the analytical method (stress transformation equations). Draw the two principal stress 3000 psl 3000 psi 5000 psi elements and maximum shear element
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
An element in plane stress is subjected to stresses Ox, Oy, and Txy (see figure). The material is aluminum with modulus of elasticity E:= 10 (10%) psi and Poisson's ratio v:=0.25. Hint: start with Hooke's Law for Plane Stress (Eq. 7-35 and 36) and the relationship between G and E! (a) Determine the strains for an element oriented at an angle e. (b) Determine the principal strains. (c) Determine the maximum shear strains. 0x := 3000 psi , := 600...
2) The plane state of stresses at a point is as shown in the figure. Using the methods of your preference determine 1 ksi a) Principal stresses and maximum in-plane shear and represent them on a triangular element indicating angles and directions. 3 ksi 60° b) The normal and shear stress along plane ab
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