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mash [69]
3 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]3 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.
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Suppose three riders rode a total of 182 miles. If they used a total of 13 horses, and rode each horse the same number of miles,
umka21 [38]

Answer:

They rode 14 miles before replacing each horse

Step-by-step explanation:

We will be working under the assumption that all three riders sat on one horse at a time and rode it while the other horses rested.

From the problem, we can understand that the horses were each ridden for the same distance. This means that to get the total distance a horse rode before it was changed, we can divide the total distance by the number of horses that were used for the journey.

Distance each horse rode = 182/ 13 = 14 miles.

Therefore, each horse was ridden for 14 miles before it was changed.

5 0
3 years ago
Mr Hall earns $1500 per month. If income tax is deducted at 20%, find his net pay after tax.
Shtirlitz [24]

Answer:

$300

Step-by-step explanation:

1500 • 20%

1500 • 20/100

15 • 20

300

Hope this helps, good luck! :)

5 0
3 years ago
Read 2 more answers
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Alina [70]

Answer: A)

Step-by-step explanation: If You just look at the numbers you can single out which one is correct

3 0
3 years ago
What is the effect on the graph of the function f(x) = x^2 when f(x) is changed to f(x − 6)
olya-2409 [2.1K]

Answer:

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

Step-by-step explanation:

When we Add or subtract a positive constant, let say c, to input x, it would be a horizontal shift.  

For example:

Type of change               Effect on y = f(x)

y = f(x - c)                      horizontal shift: c units to right

So

Considering the function

f(x) = x^2

The graph is shown below. The first figure is representing f(x) = x^2.

Now, considering the function

\:f\left(x\right)=\left(x-6\right)^2

According to the rule, as we have discussed above, as a positive constant 6 is added to the input, so there is a horizontal shift, 6 units to the right.

The graph of \:f\left(x-6\right)=\left(x-6\right)^2 is shown below in second figure. It is clear that the graph of  \:f\left(x-6\right)=\left(x-6\right)^2  is shifted 6 units to the right as compare to the function f(x) = x^2.

The comparison graph is also attached in 3rd figure. In the 3rd figure, the graph with vertex (0, 0) is representing f(x) = x^2 and \:f\left(x\right)=\left(x-6\right)^2 is represented as being shifted 6 units to the right as compare to the function f(x) = x^2.

5 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30
anastassius [24]

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

3x-5y=-30

Move the -3x to the right side

-5y=-3x-30

Divide both sides by -5

y=\dfrac{3}{5}x+6

This should be your answer, let me know if you need any clarifications, thanks!

5 0
3 years ago
Read 2 more answers
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