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

ExERcISE
m12.4 Sketching Stress transformation Results. Score at
least 100 points in this interactive activity. (Learning tool)
FIGURE m12.4
pRoBLEmS
p12.27–p12.30 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
Figures P12.27–P12.30.
(a) Determine the principal stresses and the maximum in-plane
shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure
12.15 or Figure 12.16).
(c) Compute the absolute maximum shear stress at the point.
p12.31–p12.34 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
Figures P12.31–P12.34.
(a) Determine the principal stresses and the maximum in-plane
shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure
12.15 or Figure 12.16).
(c) Compute the absolute maximum shear stress at the point.
94 MPa
67 MPa
12.5 ksi
13.4 ksi
42 MPa
17 MPa
10 ksi
5.6 ksi
62 MPa
31 MPa
3.5 ksi
9 ksi
FIGURE p12.27
FIGURE p12.28
FIGURE p12.31
FIGURE p12.32
172 MPa
17 ksi
20.4 ksi
154.8 MPa
144 MPa
7 ksi
13.8 ksi
87 MPa
106 MPa
29 ksi
17.6 ksi
114.8 MPa
FIGURE p12.29
FIGURE p12.30
FIGURE p12.33
FIGURE p12.34
512