Quiz on Centroid and Moment of Inertia for Composite Steel Sections, Exercises of Structural Design and Architecture

A practice quiz question related to determining the centroid and moment of inertia for a composite steel section with a cut-out. Students are required to show their work and answer the question, with a one-page crib sheet and a silent calculator allowed during the quiz.

Typology: Exercises

2011/2012

Uploaded on 12/22/2012

bageshri
bageshri 🇮🇳

4.3

(24)

175 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Practice Quiz 5
Note: A one page (one sided) crib sheet is allowed during the quiz,
along with a silent, non-programmable calculator.
Clearly show your work and answer.
A steel section must have a void drilled into it for a special application. A WT 15 x 195.5 cut T
has been bored with a cut-out as shown in the cross section diagram. (The horizontally
symmetrical cross section will consist of solid shape(s) and negative shape(s) of possible basic
shapes shown and a standard steel shape.)
a) Where is the centroid located for the composite section with respect to the origin given?
b) What is the moment of inertia, Ix [or Iy], for the composite section?
c) [some short question from the text material]
Properties for
the standard
steel shape:
Answers:
a) in6x =
ˆ, iny 16.9
ˆ=
b) Ix = 1634.7 in4, (Iy = 1061.9 in)
WT 15x195.5
A = 57.6 in2
d = 16.6 in
tw = 1.36 in
bf = 15.6 in
tf= 2.44 in
Ix = 1220in4
y= 4.00 in
Iy = 774 in4
possible basic shapes
cross section
x
4.85 in
y
WT 15 x 195.5
O
1.25” φ cut-out
with center at
0.875” below top
2” x 12”
bar
docsity.com

Partial preview of the text

Download Quiz on Centroid and Moment of Inertia for Composite Steel Sections and more Exercises Structural Design and Architecture in PDF only on Docsity!

Practice Quiz 5

Note: A one page (one sided) crib sheet is allowed during the quiz,

along with a silent, non-programmable calculator.

Clearly show your work and answer.

A steel section must have a void drilled into it for a special application. A WT 15 x 195.5 cut T has been bored with a cut-out as shown in the cross section diagram. (The horizontally symmetrical cross section will consist of solid shape(s) and negative shape(s) of possible basic shapes shown and a standard steel shape.)

a) Where is the centroid located for the composite section with respect to the origin given?

b) What is the moment of inertia, I x [or I y], for the composite section?

c) [some short question from the text material]

Properties for the standard steel shape:

Answers:

a) x ˆ =− 6 in , y ˆ = 9. 16 in

b) I (^) x = 1634.7 in^4 , (I (^) y = 1061.9 in)

WT 15x195. A = 57.6 in^2 d = 16.6 in t (^) w = 1.36 in bf = 15.6 in t (^) f = 2.44 in I (^) x = 1220in^4 y = 4.00 in I (^) y = 774 in^4

possible basic shapes

cross section

x

4.85 in

y

WT 15 x 195.

O

1.25” φ cut-out with center at 0.875” below top 2” x 12” bar

docsity.com