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 themaximum stress in the cross-section, and where would that stress occur? Utilize the values thatyou determined in Part (e).(h) If a moment, M=5 ft-kips, is applied to the cross-section about its weak axis, what is themaximum stress in the cross-section, and where would that stress occur? Utilize the values thatyou determined in part (e).(i) If the cross-section is made of Gr. A36 steel, would these moments produce linear or non-linearbehavior in the cross-section? Why?k18 in.1 in.10 in.H1₁6 in.2 in.T2 in.

Unsymmetrical I section is given. We need to calculate neutral axis location and moment of inertia…

Answered: Solve for the following for the…

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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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Step 2: a) Calculate location of neutral axis

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Step 3: b) Calculate moment of inertia about x axis

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Step 4: c) Calculate moment of inertia about y axis

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