A beam is subjected to equal bending moments of M, - 3600 N-m. The cross-sectional dimensions are b- 115 mm, c- 31 mm, d-66 mm, and t=4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis, (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative M- H (typ) K b. Answer: mm (a) y= i ! mm I,- i mm S= MPa (b) OH = MPa (c) OK = MPa (d) Omax

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A beam is subjected to equal bending moments of M, = 3600 N-m, The cross-sectional dimensions are b= 115 mm, c 31 mm, d- 66
mm, and t = 4 mm. Determine:
CR
(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the
controlling section modulus about the z axis.
(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative,
(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.
(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
M-
M
H.
d
(tур)
K
b.
Answer:
mm
(a) y= i
mm4
1z= i
mm3
i
MPa
(b) OH =
MPa
(c) OK =
i
%3D
!MPa
(d) Omax
%3D
IL
Transcribed Image Text:A beam is subjected to equal bending moments of M, = 3600 N-m, The cross-sectional dimensions are b= 115 mm, c 31 mm, d- 66 mm, and t = 4 mm. Determine: CR (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative, (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M- M H. d (tур) K b. Answer: mm (a) y= i mm4 1z= i mm3 i MPa (b) OH = MPa (c) OK = i %3D !MPa (d) Omax %3D IL
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