Materials Science And Engineering Properties
1st Edition
ISBN: 9781111988609
Author: Charles Gilmore
Publisher: Cengage Learning
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Question
Chapter 2, Problem 2.13P
To determine
The direction in the unit cell and to show the coordinates where each direction intersects the boundary of unit cell.
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Students have asked these similar questions
The centroid of the rectangle about x and y-axis is:
6m
4m
3m
Cross-Section C (I-Section)
The third cross-section to consider is the "l-section" shown
below. The dimensions are given as:
b = 150 mm
d = 210 mm
• t = 40 mm
• x
y
t
I
x
b
With reference to the origin shown above, what are the
coordinates of the centroid for this cross-section:
.
T
.
What is the maximum and minimum second moment of area
about axes passing through the centroid:
Imaz
Imin
=
mm
=
d
mm
mm4
mm4
Determine the x and y-coordinate of the centroid shown below.
Chapter 2 Solutions
Materials Science And Engineering Properties
Ch. 2 - Prob. 1CQCh. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Prob. 4CQCh. 2 - Prob. 5CQCh. 2 - Prob. 6CQCh. 2 - Prob. 7CQCh. 2 - Prob. 8CQCh. 2 - Prob. 9CQCh. 2 - Prob. 10CQ
Ch. 2 - Prob. 11CQCh. 2 - Prob. 12CQCh. 2 - Prob. 13CQCh. 2 - Prob. 14CQCh. 2 - Prob. 15CQCh. 2 - Prob. 16CQCh. 2 - Prob. 17CQCh. 2 - Prob. 18CQCh. 2 - Prob. 19CQCh. 2 - Prob. 20CQCh. 2 - Prob. 21CQCh. 2 - Prob. 22CQCh. 2 - Prob. 23CQCh. 2 - Prob. 24CQCh. 2 - Prob. 25CQCh. 2 - Prob. 26CQCh. 2 - Prob. 27CQCh. 2 - Prob. 28CQCh. 2 - Prob. 29CQCh. 2 - Prob. 30CQCh. 2 - Prob. 31CQCh. 2 - Prob. 32CQCh. 2 - Prob. 33CQCh. 2 - Prob. 34CQCh. 2 - Prob. 35CQCh. 2 - Prob. 36CQCh. 2 - Prob. 37CQCh. 2 - Prob. 38CQCh. 2 - Prob. 39CQCh. 2 - Prob. 40CQCh. 2 - Prob. 41CQCh. 2 - Prob. 42CQCh. 2 - Prob. 43CQCh. 2 - Prob. 44CQCh. 2 - Prob. 45CQCh. 2 - Prob. 46CQCh. 2 - Prob. 47CQCh. 2 - Prob. 48CQCh. 2 - Prob. 49CQCh. 2 - Prob. 50CQCh. 2 - Prob. 51CQCh. 2 - Prob. 52CQCh. 2 - Prob. 1ETSQCh. 2 - Prob. 2ETSQCh. 2 - Prob. 3ETSQCh. 2 - Prob. 4ETSQCh. 2 - Prob. 5ETSQCh. 2 - Prob. 6ETSQCh. 2 - Prob. 7ETSQCh. 2 - Prob. 8ETSQCh. 2 - Prob. 9ETSQCh. 2 - Prob. 10ETSQCh. 2 - Prob. 11ETSQCh. 2 - Prob. 12ETSQCh. 2 - Prob. 13ETSQCh. 2 - Prob. 1DRQCh. 2 - Prob. 2DRQCh. 2 - Prob. 3DRQCh. 2 - Prob. 4DRQCh. 2 - Prob. 5DRQCh. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26P
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- y=(x^2+2x+1)(x-4)arrow_forwardWhile cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 28" x 28". 30 lb 13" A 4" 5 lb 1"arrow_forwardCross-Section A (Channel Cross-Section) The first cross-section is what is often referred to as an open 'channel' cross-section. The dimensions are given as: b = 160 mm ● ● ● d = 220 mm t = 40 mm ● • x b With reference to the origin shown above, what are the coordinates of the centroid for this cross-section: y - X -t- Imax • Imin mm mm d What is the maximum and minimum second moment of area about axes passing through the centroid: mm4 mm 4arrow_forward
- While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 30" x 30". 10 lb 20 lb 14" 10" 2" 6" Force = (of + of + ? k)lb (?? • ? + ?Ê) l6 - in Moarrow_forwardNumber the components from top to bottom, with component #1 being the 4x10 at the top and component #3 being the 4x4 at the bottom. We denote the distance from the centroid of component #3 to x-x axis as dy3, and the distance from the centroid of component #3 to y-y axis as dx3. Note that x-x and y-y are the axes going through the centroid of the entire area, C. What is dy3 and dx3?arrow_forwardDetermine the shape factor of the cross section.arrow_forward
- For the 2d coordinate system below, complete the following: a) Break up the force vector into Fx and Fy components; show these components on the figure. Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction b) Draw a position vector from the origin (0) to the tail (point a) of the force vector c) Break up the position vector into rx and ry components; show these components on the figure Add a superscript to each component to indicate whether they are acting in the positive (+) or negative (-) direction d) Calculate the "moment" of force F about the origin by multiplying F times its perpendicular distance from the origin (ry), and add the product of Fy times its perpendicular distance from the origin (rx). Assume that a counterclockwise rotation about the origin is a "positive" moment. Think of rx as a string connected to the origin. If you pull the string in the direction of d, will that cause a clockwise (-) or…arrow_forwardDRAW YOUR OWN FIGUREarrow_forwardlocate the centroid of the area shown. in part b note the symbol signifying that the area is symmetric about the centerlinearrow_forward
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