1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mash [69]
2 years ago
12

Show that p must be directed through centroids of cross sections if axial stress ? is not to vary over a cross section.

Mathematics
1 answer:
wolverine [178]2 years ago
7 0
Assuming P (usually written in upper case) represents a force normal to a given cross section.

If a point load is applied to any point of the section, stress concentration will cause axial stress to vary.

The context of the question considers the uniformity of axial stress at a certain distance away from the point of application (thus stress concentration can be neglected).

If a force P is applied through the centroid, sections will be stressed uniformly.  However, if the force P is applied at a distance "e" from the centroid, the equivalent load on the section equals an axial force and a moment Pe.  The latter causes bending of the member, causing non-uniform stress.

If we assume A=(uniform) cross sectional area, and I=moment of inertia of the section, then stress varies with the distance y from the centroid equal to
stress=sigma=P/A + My/I
where P=axial force, M=moment = Pe.
Therefore when e>0, the stress varies across the section.
You might be interested in
What is the measure of ∠HFG?<br> (See attachment)
madam [21]
92 degrees

Triangle= 180 degrees
180-60-28= 92

:)
7 0
3 years ago
Given the information below, QRS is UVT similar to ? If so, give the scale factor.
viktelen [127]
Look\ at\ the\ picture.\\\\\Delta QRS\sim\Delta UVT\ if\ \frac{|QR|}{|UV|}=\frac{|RS|}{|VT|}\\\\\frac{|QR|}{|UV|}=\frac{8}{18}=\frac{4}{9}\\\\\frac{|RS|}{|VT|}=\frac{16}{34}=\frac{8}{17}\\\\Answer:A.\ No,\ the\ triangles\ are\ not\ similar.

4 0
2 years ago
a young tree grows 6 cm per year. use the equation height = 6 cm x number of years to find how many years the tree would take to
AnnZ [28]
The tree grows 6cm per year and we need to find out how long it will take to grow 1 meter. We know that 1 meter is equal to 100 centimeters. So:
6x = 100
x = 16.67
It will take 16.67 years (or one and two-thirds of a year) for the tree to reach 1 meter.
7 0
3 years ago
Read 2 more answers
Determine the measure of the third angle. * o 48° O 62° O 70° 132 180°
Ede4ka [16]

Answer:

B. 30°

Step-by-step explanation:

5 0
2 years ago
(-8+1.5)x4/5 <br><br> Help please
fenix001 [56]

Answer:

-5.2

Step-by-step explanation:

-8+1.5 = -6.5

-6.5 * 4/5 = -6.5 * 0.8 = -5.2

7 0
2 years ago
Read 2 more answers
Other questions:
  • there are 36 roses and 27 carnations. anna is making flower arrangements using both flowers, if she made the maximum number of a
    8·1 answer
  • given cos θ= √35/6 and angle θ is in Quadrant I, what is the exact value of sin θ in simplest form? Simplify all radicals if nee
    5·1 answer
  • Given that f(x) = 9x2 − 180, find x
    10·2 answers
  • Jasmine started swim practice at 11:35 a.m. She finished swim practice at 1:18 p.m.
    8·2 answers
  • Which of the following correlation coefficients would correspond to a strong linear relationship in a data set?
    6·1 answer
  • Is 0.82 (reapting) rational
    5·1 answer
  • Helppppppp??????!!!!!!!!!!
    8·1 answer
  • Yossi used to have a square garage with 286 ft of floor space. He recently built an addition to it. The garage is still a​ squar
    14·2 answers
  • Use the figure below and determine the value of x<br> PLS HELP
    5·2 answers
  • G=b(a + D2)<br><br> Solve for A
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!