Monthly archive | MATHalino

Absolute Pressure, Gage Pressure, and Atmospheric Pressure

$p_{abs} = p_{gage} + p_{atm}$

Variations in Pressure

$p_2 = p_1 + \gamma h

Pressure Head

$h = \dfrac{p}{\gamma}$

Read more about Fluid Mechanics and Hydraulics
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Situation
The helical spring shown is axially loaded with a compression force P equal to 5 kN. The mean diameter of the spring is 100 mm and the wire used is 10 mm as indicated in the figure.

What is the shear stress at A?
What is the shear stress at B?
On diameter AB, locate the point of zero stress measured from C.

Read more about Problem 01 | Stress in Helical Spring
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Problem 908
A punch press has the cast steel frame shown in Figure P-908. Determine the greatest force P that can be exerted at the jaws of the punch without exceeding a stress of 18 ksi at section A-B. The properties of the area are as shown and 1-1 is the centroidal axis.

Read more about Problem 908 | Combined Axial and Bending
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Integral of csc^3 cos^3 xdx

Read more about Integral Calculus: $\displaystyle \int \csc^3 x \, \cos^3 x dx$
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Problem 907
Determine the largest load P that can be supported by the circular steel bracket shown in Figure P-907 if the normal stress on section A-B is limited to 80 MPa.

Read more about Problem 907 | Combined Axial and Bending
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At 2:00PM, a thermometer reading 80°F is taken outside where the air is 20°F. At 2:03PM, the temperature reading yielded by thermometer is 42°F, later the thermometer was brought inside where the air is at 80°F, at 2:10PM the reading is 71°F. When was the thermometer brought indoor?

Read more about Application of Differential Equation: Newton's Law of Cooling
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The weather vane of a ship points southeast when the ship is moving east at the rate of 25 km/hr. If the wind velocity is 5 km/hr., from what direction is it blowing?

13. The straight post B rests upon the front edge of the car A as shown which is ascending the 300 incline with an acceleration of 0.5 m/s2.at what angle must the post be inclined in order that it will maintain its position?

17. At what speed must a 1000kg car approach a ramp which has a slope and 12m high at the top such that it will just coast to the top. Assume the constant retarding force due to friction, wind, etc. to be 60kg.

Read more about Need this badly today
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what superelevation is required on a 40 railway curve for zero resultant flange pressure on a car running at a speed of 64kph?

C. What is the resultant flange pressure on a 450KN car moving around this curve at a speed of 96KPH.
Gage G of the track is 1.50m. (A 40 curve is one whose chord is 30.5m)

Read more about Need this badly today
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March 2017