At a given instant of time, the temperature distribution within an infinite homogeneous body is given by the function T ( x , y , z ) = x 2 − 2 y 2 + z 2 − x y + 2 y z Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time.
At a given instant of time, the temperature distribution within an infinite homogeneous body is given by the function T ( x , y , z ) = x 2 − 2 y 2 + z 2 − x y + 2 y z Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time.
Solution Summary: The author evaluates the differentiation of the heat equation with constant properties and no heat generation.
At a given instant of time, the temperature distribution within an infinite homogeneous body is given by the function
T
(
x
,
y
,
z
)
=
x
2
−
2
y
2
+
z
2
−
x
y
+
2
y
z
Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time.
Question 6
What kind of problem would arise if components of the strain tensor were defined
as v
Double counting of the normal strains.
Strain discontinuity.
Rotation would lead to a shear strain.
Double counting of the shear strains.
please show steps, thanks
You design a pin joint. The pin is made of a material with the yield strength of 325
MPa and ultimate strength of 500 MPa. The maximum allowed stress in service is
expressed as a tensor
0
100 0
σ
100
0
0 MPa
0
0
Evaluate the safety factor SF for stress in this design.
Write answer unitless rounding to 2 decimal places and enter decimals even if those
are zeros.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License