A beam is subjected to equal 12.8 kip-ft bending moments. Assume t1 = t2= tw= 2 in., d = 15 in., b1= 6 in., and b2 = 9 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l, about the z axis, and the controlling section modulus Sz about the z axis. (b) the bending stress oy at point H (positive if tension, negative if compression). (c) the bending stress og at point K (positive if tension, negative if compression). (d) the maximum bending stress omax produced in the cross section (positive if tension, negative if compression). M M d K t2 b2 Cross scction Answers: (a) J = i in., Iz = i in.4, Sz = i in.3. (b) GH i psi. (c) OK i psi. (c) Omax psi.
A beam is subjected to equal 12.8 kip-ft bending moments. Assume t1 = t2= tw= 2 in., d = 15 in., b1= 6 in., and b2 = 9 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l, about the z axis, and the controlling section modulus Sz about the z axis. (b) the bending stress oy at point H (positive if tension, negative if compression). (c) the bending stress og at point K (positive if tension, negative if compression). (d) the maximum bending stress omax produced in the cross section (positive if tension, negative if compression). M M d K t2 b2 Cross scction Answers: (a) J = i in., Iz = i in.4, Sz = i in.3. (b) GH i psi. (c) OK i psi. (c) Omax psi.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A beam is subjected to equal 12.8 kip-ft bending moments. Assume t1 = t2= tw= 2 in., d = 15 in., b1= 6 in., and b2 = 9 in. The cross-
sectional dimensions of the beam are illustrated. Determine:
(a) the distance y to the centroid (measured from the bottom), the moment of inertia l, about the z axis, and the controlling section
modulus Sz about the z axis.
(b) the bending stress oy at point H (positive if tension, negative if compression).
(c) the bending stress og at point K (positive if tension, negative if compression).
(d) the maximum bending stress omax produced in the cross section (positive if tension, negative if compression).
M
M
d
K
t2
b2
Cross scction
Answers:
(a) J = i
in., Iz = i
in.4, Sz = i
in.3.
(b) GH
i
psi.
(c) OK
i
psi.
(c) Omax
psi.
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