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 cm 40 em 50 em 2.5 cm ARestangle An I-Seetion

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.1: Function And Parameter Declarations
Problem 4E: (Statics) A beam’s second moment of inertia, also known as its area moment of inertia, is used to...
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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):
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
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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