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 = 30 MPa, Sy = 64 MPa, and Sxy = 23 MPa.
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 = 30 MPa, Sy = 64 MPa, and Sxy = 23 MPa.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 = 30 MPa, Sy = 64 MPa, and Sxy = 23 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.
(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(d) Determine the absolute maximum shear stress at the point.
(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.
(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16).
(d) Determine the absolute maximum shear stress at the point.
Transcribed Image Text: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, = 30 MPa, S, = 64 MPa, and Sy = 23 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.
(c) Show these stresses on an appropriate sketch (e.g. see Fig 12.15 or Fig 12.16).
(d) Determine the absolute maximum shear stress at the point.
S,
Sy
S,
Answer:
(a) Draw Mohr's Circle for this state of stress.
(b) op1= 1
MPa
Op2 = 1
MPa
naב!פ-xinכrד
MPa
(c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig 12.16)
(d) Tabs max
MPa
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