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According to the Owner's Manual for the Gateway Arch by William Thayer, the construction made use of the following mathematical equation.
y(x) = a + b * cosh( c * x)
a= 693.8597 b= -68.7672 c=.010033
-299.2239 </= x </= 299.2239
Cross-sections of the arch are equilateral triangles, and (x,y) traces teh path of the centers of mass of the triangles whose area is given by the following equation:
A(x) = d * cosh (c*x)
d = 125.1406
1. Plot this expression and confirm its shape
2. Find the height to the top most point and the width at the base and mid-height.
Earth whose in situ weight is 110 lb per cf and compacted weight is 124 lb per cf is placed ina a fill at rate of 280 cy per hr, measured as compacted earth. The thickness of the compacted layers is 8 in.
Water flows uniformly at a depth of y1 = 40 cm in the rectangular troweled concrete channel shown, which is 10 m wide and has a bed slope of So = 0.040 . What is the velocity in the channel before the hydraulic jump
The student strikes the sign at a speed of 25 mi/h. if the student was travelling at 65 mi/h when the sign was first spotted, what was the student's associated perception reaction time
Determine the minimum distance from the diversion that a road sign should be located informing drivers of the temporary change on the highway. The letter height on the road sign is 5 inches.
Tank A has a volume of 100 liters and contains saturated vapor r-134 at 30C. With the valve open slightly flow enters cylinder B. a pressure of 200kpa is required to lift piston in b. the process ends when the pressue at A drops to 200kPa.
Determine the critical depth in a trapezoidal channel with a 20 foot bottom width and 3:1 (H:V) side slopes if the Q = 1000cfs.
A crane is used to lift a concrete pipe weighing 10kN into place. For precision positioning, the worker at C can apply up a 800N force to cable AC. Determine the largest distance d the concrete pipe may be moved.
In Chlorine disinfection (3-log reduction in Giardia- Cysts), determine the water pH for a contact time of 90 minutes using a chlorine concentration of 2 mg/L at 20 degrees C
determine a composite scs runoff curve number for a 600acre basin that is totally within soil group C. the land use is 40% contoured row crops in poor hydrologic condition. 60% native pasture in fair hydrologic condition.
a plane truss is subjected to a loads 2P and P at joints B and C, respectively, as shown in figure part a.The truss bars are made of two L102 x 76 x 6.4 stell angles having an ultimate stress tension equal to 390 MPa (cross-sectional are of the tw..
After the cone of depression has achieved equilibrium, the piezometric heads at two observation wells 40 and 95 m from the pumping well are measured as 78.9 and 83.4 above sea level, respectively.
Hydrogen sulfide (H2S) is an odorous gas that can be stripped from solution by gas stripping. The efficiency of the process will strongly depend on the pH of the solution. The equilibrium reaction is: in a pocess similar to ammonia.
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