Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

pRoBLEmS
p12.42 Figure P12.42 shows Mohr’s circle for a point in a physical
object that is subjected to plane stress.
(a) Determine the stresses σ x , σ y , and τ xy , and show them on a
stress element.
(b) Determine the principal stresses and the maximum in-plane
shear stress acting at the point, and show these stresses on an
appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
p12.44 Figure P12.44 shows Mohr’s circle for a point in a physical
object that is subjected to plane stress.
(a) Determine the stresses σ x , σ y , and τ xy , and show them on a
stress element.
(b) Determine the principal stresses and the maximum in-plane
shear stress acting at the point, and show these stresses on an
appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
τ
x
y
τ
C
σ
C
σ
y
x
FIGURE p12.42
τ
1 grid square = 500 psi
τ
FIGURE p12.44
1 grid square = 10 MPa
p12.43 Figure P12.43 shows Mohr’s circle for a point in a physical
object that is subjected to plane stress.
(a) Determine the stresses σ x , σ y , and τ xy , and show them on a
stress element.
(b) Determine the principal stresses and the maximum in-plane
shear stress acting at the point, and show these stresses on an
appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
p12.45 Figure P12.45 shows Mohr’s circle for a point in a physical
object that is subjected to plane stress.
(a) Determine the stresses σ x , σ y , and τ xy , and show them on a
stress element.
(b) Determine the principal stresses and the maximum in-plane
shear stress acting at the point, and show these stresses on an
appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
τ
τ
y
x
C
σ
C
σ
y
x
1 grid square = 5 ksi
τ
τ
1 grid square = 5 MPa
FIGURE p12.43
FIGURE p12.45
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