(d) Identify which axis is the "strong" axis and which is the "weak" axis (e) Section moduli about both the strong and the weak axes (f) Radius of gyration about both the strong and the weak axes (g) If a moment, M-10 ft-kips, is applied to the cross-section about its strong axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in Part (e). (h) If a moment, M-5 ft-kips, is applied to the cross-section about its weak axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in part (e). (i) If the cross-section is made of Gr. A36 steel, would these moments produce linear or non-linear behavior in the cross-section? Why? 18 in. 10 in. 1 in. - 6 in. 2 in. 2 in.
(d) Identify which axis is the "strong" axis and which is the "weak" axis (e) Section moduli about both the strong and the weak axes (f) Radius of gyration about both the strong and the weak axes (g) If a moment, M-10 ft-kips, is applied to the cross-section about its strong axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in Part (e). (h) If a moment, M-5 ft-kips, is applied to the cross-section about its weak axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in part (e). (i) If the cross-section is made of Gr. A36 steel, would these moments produce linear or non-linear behavior in the cross-section? Why? 18 in. 10 in. 1 in. - 6 in. 2 in. 2 in.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Plase answer questions from (d)
Transcribed Image Text:Solve for the following for the built-up I-section shown.
(a) Elastic neutral axis location
(b) Moment of inertia about the x (horizontal) axis
(c) Moment of inertia about the y (vertical) axis
(d) Identify which axis is the "strong" axis and which is the "weak" axis
(e) Section moduli about both the strong and the weak axes
(f) Radius of gyration about both the strong and the weak axes
(g) If a moment, M-10 ft-kips, is applied to the cross-section about its strong axis, what is the
maximum stress in the cross-section, and where would that stress occur? Utilize the values that
you determined in Part (e).
(h) If a moment, M=5 ft-kips, is applied to the cross-section about its weak axis, what is the
maximum stress in the cross-section, and where would that stress occur? Utilize the values that
you determined in part (e).
(i) If the cross-section is made of Gr. A36 steel, would these moments produce linear or non-linear
behavior in the cross-section? Why?
k
18 in.
1 in.
10 in.
H1₁
6 in.
2 in.
T
2 in.
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