The cross-sectional dimensions of a beam are shown. Assume a=30 mm, b=250 mm, tz=18 mm, t2=10 mm, d=220 mm. (a) If the bending stress at point K is 15 MPa (T), determine the bending stress at point H. State whether the normal stress at His tension or compression. (b) If the allowable bending stress is 160 MPa, determine the magnitude of the maximum bending moment M, that can be supported by the beam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Part 2
Calculate lz web the moment of inertia for the horizontal web about the z centroidal axis. Note that the web is rectangular with
dimensions 214 mm x 10 mm.
Answer: Iz web - i
(10°) mm
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Part 3
Determine the moment of inertia l, for the cross-section about the neutral axis.
Answer: I; - i
(10°) mm4
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Part 4
If the bending stress at point Kis 15 MPa (T), determine the bending stress at point H. Follow the sign convention for normal
stresses. The stress has a positive value if it is tension and a negative value if it is compression.
Answer: GH
MPa
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Part 5
If the allowable bending stress is o, - 160 MPa, determine the magnitude of the maximum bending moment M; that can be
supported by the beam.
Answer: M; - i
kN-m
Transcribed Image Text:Part 2 Calculate lz web the moment of inertia for the horizontal web about the z centroidal axis. Note that the web is rectangular with dimensions 214 mm x 10 mm. Answer: Iz web - i (10°) mm eTextbook and Media Attempts: 0 of 5 used Submit Answer Save for Later Part 3 Determine the moment of inertia l, for the cross-section about the neutral axis. Answer: I; - i (10°) mm4 eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer Part 4 If the bending stress at point Kis 15 MPa (T), determine the bending stress at point H. Follow the sign convention for normal stresses. The stress has a positive value if it is tension and a negative value if it is compression. Answer: GH MPa eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer Part 5 If the allowable bending stress is o, - 160 MPa, determine the magnitude of the maximum bending moment M; that can be supported by the beam. Answer: M; - i kN-m
The cross-sectional dimensions of a beam are shown. Assume a=30 mm, b=250 mm, tz=18 mm, t2=10 mm, d=220 mm.
(a) If the bending stress at point K is 15 MPa (T), determine the bending stress at point H. State whether the normal stress at His
tension or compression.
(b) If the allowable bending stress is 160 MPa, determine the magnitude of the maximum bending moment M, that can be
supported by the beam.
H
d
|12
a
b
By inspection, the z centroidal axis of the entire cross-section passes through the centroids of the left and right vertical flanges
and the horizontal web. Calculate lz A the moment of inertia for the left vertical flange about the z centroidal axis. Note that each
flange is rectangular with dimensions 18mm x 220mm, so the moments of inertia for the left and right vertical flanges are
identical.
Answer: IzA =
i
(106) mm4
Transcribed Image Text:The cross-sectional dimensions of a beam are shown. Assume a=30 mm, b=250 mm, tz=18 mm, t2=10 mm, d=220 mm. (a) If the bending stress at point K is 15 MPa (T), determine the bending stress at point H. State whether the normal stress at His tension or compression. (b) If the allowable bending stress is 160 MPa, determine the magnitude of the maximum bending moment M, that can be supported by the beam. H d |12 a b By inspection, the z centroidal axis of the entire cross-section passes through the centroids of the left and right vertical flanges and the horizontal web. Calculate lz A the moment of inertia for the left vertical flange about the z centroidal axis. Note that each flange is rectangular with dimensions 18mm x 220mm, so the moments of inertia for the left and right vertical flanges are identical. Answer: IzA = i (106) mm4
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