At a point in a stressed body, the known stresses are o, = 16 ksi (T), oy 11 ksi (T), o, = 12 ksi (T), Try 3 ksi, Tyz = -2 ksi, and t,r = 0. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 64°, and 64.39° with the x, y, and z axes, respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Determine the three orthogonal components of the resultant stress. Answers: Sx = ksi Sy = i ksi Sz = ksi

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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At a point in a stressed body, the known stresses are o, =
16 ksi (T), ơy
11 ksi (T), o, = 12 ksi (T), Ty
3 ksi, Tyz = -2 ksi,
and t,r = 0. Determine
(a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 64°, and 64.39° with the x, y, and z
axes, respectively.
(b) the principal stresses and the absolute maximum shear stress at the point.
Determine the three orthogonal components of the resultant stress.
Answers:
Sx =
ksi
Sy =
i
ksi
Sz =
i
ksi
Transcribed Image Text:At a point in a stressed body, the known stresses are o, = 16 ksi (T), ơy 11 ksi (T), o, = 12 ksi (T), Ty 3 ksi, Tyz = -2 ksi, and t,r = 0. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38°, 64°, and 64.39° with the x, y, and z axes, respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Determine the three orthogonal components of the resultant stress. Answers: Sx = ksi Sy = i ksi Sz = i ksi
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