Q4/ A cantilever beam has a fixed length (L). Also, it has a fixed square cross-section (txt) that will deflect least (8) under a given end load (F) (neglect self-weight). L 8 F,8 The following equations can be used in the design of the cantilever beam: FL³ 3E1 Fixed Where I is the second moment of the area of the section a) start solving this problem by listing the function, the constrains, the objectives and the free variables. That is to say write down design requirement table.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q4/ A cantilever beam has a fixed length (L). Also, it has a fixed square cross-section (txt) that
will deflect least (8) under a given end load (F) (neglect self-weight).
F8
The following equations can be used in the design of the cantilever beam:
8 =
FL³
3E1"
Where
I is the second moment of the area of the section
I:
Fixed
==4
1
a) start solving this problem by listing the function, the constrains, the objectives and the
free variables. That is to say write down design requirement table.
b) Derive the Material Index, including only materials properties, which should be
maximized for the given design specification. (Do not use charts).
Transcribed Image Text:Q4/ A cantilever beam has a fixed length (L). Also, it has a fixed square cross-section (txt) that will deflect least (8) under a given end load (F) (neglect self-weight). F8 The following equations can be used in the design of the cantilever beam: 8 = FL³ 3E1" Where I is the second moment of the area of the section I: Fixed ==4 1 a) start solving this problem by listing the function, the constrains, the objectives and the free variables. That is to say write down design requirement table. b) Derive the Material Index, including only materials properties, which should be maximized for the given design specification. (Do not use charts).
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