Recent content by Chestermiller

  1. Chestermiller

    I Non-orthogonal bases

    In analyzing the mechanics of deformable membranes (such as, for example, the deformations and stresses within an automobile tire structure modeled as non-isotropic membrane), it is very convenient to use an embedded material coordinate system in which the material coordinates stretch and...
  2. Chestermiller

    Physics of Stretch: What pressure does a band apply on a cylinder?

    In scenario 2, the radius of the cylinder is found by ##2\pi R=1.2##or $$R=\frac{1.2}{2\pi}=\frac{0.6}{\pi}$$The pressure is given by $$P=\frac{T}{RW}=\frac{22.5\pi }{(0.6)(0.25)}$$
  3. Chestermiller

    Physics of Stretch: What pressure does a band apply on a cylinder?

    In the first scenario, there is definitely going to be significant widthwise contraction (and this would reduce the required tensile force) if, as indicated, the original width is much smaller than the original length. To avoid widthwise contraction in the first scenario, you would have to make...
  4. Chestermiller

    I Entropy and configurations of microstates

    In statistical thermodynamics, the following approximation is frequently used: $$\ln{(n!)}=\ln(1)+\ln(2)...\ln(n-1)+\ln(n)\approx \int_0^n{\ln{n'}dn'}=n\ln(n)-n$$so $$n!\approx n^ne^{-n}$$
  5. Chestermiller

    Physics of Stretch: What pressure does a band apply on a cylinder?

    Is the allowed to contract in width when scenario 1 is applied? Is it allowed to contract in with what scenario 2 is applied?
  6. Chestermiller

    Enthalpy - published values

    This is not a correct interpretation. The difference between H2O l enthalpy and H20 g enthalpy is primarily the result of the difference in internal energies of the liquid and vapor, with only a veery small contribution to the difference in PV.
  7. Chestermiller

    Enthalpy - published values

    I totally oppose introducing this description in an attempt to assign a physical interpretation to enthalpy. I have seen it accomplish nothing but causing confusion among generation after generation of neophytes to the subject of thermodynamics. Enthalpy is just a convenient shorthand...
  8. Chestermiller

    Cantilever help

    Let's see you analysis so far, starting with your schematic of the system.
  9. Chestermiller

    A Condensate rate of water for an air conditioning cooling coil

    You need to be able to calculate the outlet temperature of the condenser. For this, you need to know the heat transfer coefficient between the air and the heat transfer surface. This is a function of the flow velocity and the condenser geometry. There may be experimental correlations of heat...
  10. Chestermiller

    I I need to simulate clothing meshes for hanging garments

    Can the fibers slide at the crossovers or are they locked?
  11. Chestermiller

    Reconcile poundforce w/slug and lbmass

    No. The 32.2 is fixed. And the measured force at the equator would be < 1 lb.
  12. Chestermiller

    Solubility of MgSO47H2O in water

    Maybe they counted the water of hydration as part of the total water.
  13. Chestermiller

    Solubility of MgSO47H2O in water

    https://www.sigmaaldrich.com/US/en/support/calculators-and-apps/solubility-table-compounds-water-temperature?srsltid=AfmBOorUE7OLxWEVYh6G9RL0gi9uEg95IcpF7DQmoPcuCs4Wdy45Kaj6
  14. Chestermiller

    How Do I Draw This Shear and Moment Diagram?

    You write an equation for the shear stress and bending moment vs x for each section of the beam. You then plot these equations on a graph.
  15. Chestermiller

    How Do I Draw This Shear and Moment Diagram?

    OK. Let's see your moment balances now.
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