Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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6) The second moment of inertia is a mathematical representation of a beam's resistance to bending.
a. Write a function that returns the second moment of inertia (1) for a
rectangular section which has a width b and height h, as
bh
shown in the figure. The formula is I = :
following function prototype:
Use the
12
Def rectangleMomlnertia(b,h):
expand button
Transcribed Image Text:6) The second moment of inertia is a mathematical representation of a beam's resistance to bending. a. Write a function that returns the second moment of inertia (1) for a rectangular section which has a width b and height h, as bh shown in the figure. The formula is I = : following function prototype: Use the 12 Def rectangleMomlnertia(b,h):
b. An l-section (i.e. a cross-section in the shape of the letter I) consists of a vertical part called the
web and two horizontal parts called the flanges (see the figure on
the right). The second moment of inertia for an I-section is given
by:
Flange
Web
12
12
12
= [Second moment of inertia of the rectangle, xh] -
[Second moment of inertia of the two rectangles under the
-beam
centroid
flanges, t xh]
I- rectangleMomInertia (b, h) - 2*rectangleMomInertia (0.5 (b-t,),ha)
Now, write a function that returns the second moment of inertia for an I-section. Let your
function use the function rectangleMomInertia () as explained above. Use the following
prototype:
def iSectionMomInertia(b, h, tw, h1);
c. Write a C++ program that inputs the dimensions of the following sections, and then computes
and outputs the second moment of inertia for each.
25 em
-20 em -
40 cm
50 em
2.5 cm
45 ep
ARestangle
An I-Section
7
expand button
Transcribed Image Text:b. An l-section (i.e. a cross-section in the shape of the letter I) consists of a vertical part called the web and two horizontal parts called the flanges (see the figure on the right). The second moment of inertia for an I-section is given by: Flange Web 12 12 12 = [Second moment of inertia of the rectangle, xh] - [Second moment of inertia of the two rectangles under the -beam centroid flanges, t xh] I- rectangleMomInertia (b, h) - 2*rectangleMomInertia (0.5 (b-t,),ha) Now, write a function that returns the second moment of inertia for an I-section. Let your function use the function rectangleMomInertia () as explained above. Use the following prototype: def iSectionMomInertia(b, h, tw, h1); c. Write a C++ program that inputs the dimensions of the following sections, and then computes and outputs the second moment of inertia for each. 25 em -20 em - 40 cm 50 em 2.5 cm 45 ep ARestangle An I-Section 7
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