Consider a point in a structural member that is subjected to
plane stress. Normal and shear stress magnitudes acting on
horizontal and vertical planes at the point are
Sx = 45 MPa, Sy = 10 MPa,
and Sxy = 36 MPa.
(a) Determine the principal stresses ( σ p 1 > σ p 2 ) and the
maximum in-plane shear stress τ max acting at the point.
(b) Find the smallest rotation angle θ p (counterclockwise is
positive, clockwise is negative) that will rotate to principal
directions. Then show these stresses in an appropriate sketch
(e.g., see Figure 12.15 or Figure 12.16)
Answers:
σ p 1 = MPa.
σ p 2 = MPa.
τ max = MPa.
θ p = °
Consider a point in a structural member that is subjected to plane stress. Normal and shear...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 51 ksi, Sy = 11 ksi, and Sxy = 32 ksi. (a) Determine the principal stresses (01 > 092) and the maximum In-plane shear stress Fruux acting at the point. (b) Find the smallest rotation angle 8, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 95.3 MPa, Sy = 79.3 MPa, and Sxy = 41.0 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) On your paper show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16). (c) Compute the absolute maximum shear...
somebody help me plz! : )
P12.043 Consider a point in a structural member that is subfected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx a) Determine the principal stresses ( σ p1 > Ơp2 and the max num in plane shear stress Trax acting at the point. 16 ksi, Sy - 36 ksi, and Sxy 11 ksi (b) Find the smallest rotation agle (counterclockwise is positive, clockwise is...
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 in Figure 4. Determine the principal stresses and the maximum in-plane shear stress acting at the point. 55 MPa 42 MPa 32 MPa Figure 4
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresse acting on horizontal and vertical planes at the point 8.4 MPa are shown in the figure 44.8 MPa a) Draw Mohr's circle for this state of stress b) Determine the principal stresses and the maximum in- plane shear stress acting at the point. Show these stresses in an appropriate sketch. c) 60.5 MPa
Question 4 Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S-15 ksi, s - 7 ksi, and Sy- 11 ksi a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (σ01 > σ02) and the maximum in-plane shear stress Tnax acting at the point. c Find the smallest rotation angle θρ counterclockwise is positive dock ise...
5. 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. Determine the principal stresses acting at the point. Show these stresses on an appropriate sketch (14 points) 66 MPa 114 MP3 90 MPa
Part 1 Correct 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. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
Question 2 The stresses shown act at a point in a stressed body. Assume stress magnitudes of Sx-83 MPa, Sy-54 MPa, Sxy-33 MPa, and β = 67°. Using the equilibrium equation approach, determine the normal and shear stresses σ (positive if tensile, negative if compressive) and τ (magnitude only) at this point on the inclined plane shown. Answers: MPa.
Part 7
To determine the normal and shear stresses on the indicated
plane, we must first determine the orientation of the inclined
plane relative to the x face of the stress element.
Determine the magnitude of the clockwise angle θ between the
x face and the inclined plane.
Assume Sx = 80 ksi, Sy = 10
ksi, and Sxy = 12 ksi.
Part 8
For Mohr’s circle, all angular measures are doubled; therefore,
point n (which represents the state of...