Use a Mohr circle to find the maximum shear stress relative to the axial stress.
Here we assume the axial stress is sigma, the transverse axial stress is zero.
So we have a Mohr circle with (0,0) and (0,sigma) as a diameter.
The centre of the circle is therefore (0,sigma/2), and the radius is sigma/2.
From the circle, we determine that the maximum stress is the maximum y-axis values, namely +/- sigma/2, at locations (sigma/2, sigma/2), and (sigma/2, -sigma/2).
Given that the maximum shear stress is 60 MPa, we have
sigma/2=60 MPa, or sigma=120 MPa.
(note: 1 MPa = 1N/mm^2)
Therefore
100 kN/(pi*d^2/4)=100,000 N/(pi*d^2/4)=120 MPa where d is in mm.
Solve for d
d=sqrt(100,000*4/(120*pi))
=32.5735 mm
Answer: The next two numbers are 6,480, -38,880.
Step-by-step explanation:
The pattern is to multiply each consecutive term by (-6). Understand that a negative number times a positive number is a negative number (eg: 5 x - 6 = -30).
A negative number times a negative number is a positive number
(eg: -30 x -6 = 180). Also, (-1,080 x -6 = 6,480.) (6,480 x -6 = 38,880).
Hope this helps.
3420°
explanation:
the equation of the sum of interior angles are (n-2)x180
polygon above has 21 sides so you sub n as 21 and plug the equation in the calculator
Check the picture below.
so the pentagonal prism in the picture is been seen from the bottom, namely so we can see its base, however the base is at the bottom, what does that mean, it means that the pentagonal bases are the top and bottom of the prism, that matters, because the other sides are the lateral sides.
so, if we notice, the lateral sides are really just 5 rectangles, each one a 12x4, so if we simply get the area of all those rectangles.
5(12 * 4) = 240 in².
Answer:
Yes!
Step-by-step explanation:
In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!
