Solving Expressions Analytically 1 point Consider the following equation, which describes the speed of sound a in an ideal gas:
The Mach number M describes the ratio of a velocity v to the acoustic velocity or speed of sound a The Mach number can also be written in terms of the stagnation temperature To. 2 (To Combine these equations and solve symbolically for the temperature T in terms of all other quantities except M. Your answer should be stored in a variable T.result, which will be a list containing one or more syspy expressions. Prefer Te instead of T.e in this case Starter code (oick to view 1 ihport sympy Answer Type here to search
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<u>Explanation:</u>
Determine the weight of footing
Where is the weight of footing, γ is the unit weight of concrete, L is the length of footing is the width of footing, and D is the depth of footing
Substitute for γ in the equation
Therefore, the weight of the footing is 35.4 kN
Determine the initial vertical effective stress.
Here, is initial vertical stress at a depth below ground surface γ is the unit weight of soil, D is depth and u is pore water pressure.
Substitute for u in the equation
Therefore, the initial vertical stress is 36 kPa
Determine the vertical effective stress.
Here, is initial vertical stress at a depth below ground surface γ is the unit weight of soil, D is depth and u is pore water pressure.
Substitute in the equation.
Therefore, the vertical stress at a depth below the ground surface is
9 kPa
Determine the influence factor at the midpoint of soil layer,
Here is the influence factor at the midpoint of soil layer
is initial vertical stress,
is vertical effective stress, and
is bearing pressure
Substitute in the equation
Therefore the influence factor at the midpoint of the soil layer is 0.693