Part A If a 12 in., locate the centroid y of the channel's cross-sectional area.(Eigure 1). Express your answer with the appropriate units.
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- Compute the surface area of the axi-symmetric domed structure.Determine the volume of the concrete arch dam.The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.
- A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).Generalize Prob. as follows. Denote length AB asH , length BC as L , and angle ABC as θ . Let the dam materialhave specifi c gravity SG. The width of the dam is b .Assume no seepage of water under the dam. Find an analyticrelation between SG and the critical angle θ c for whichthe dam will just tip over to the right. Use your relation tocompute θ c for the special case SG = 2.4 (concrete).19% @ uo 10:27 quiz1.docx Locate the centroid z of the right-elliptical cone. 10 ft 4 ff
- A trough whose cross section is a trapezoid is b = 8 m across at the bottom, a = 12 m across at the top, and 4 m deep. If the trough is filled to 1 m with water, what is the force due to water pressure on one end of the trough? F a C (Hint: Using SI units, pg = 9800 N/m³.) (Use decimal notation. Give your answer to two decimal places.) Incorrect b 55533.33 N| RN * ME3 4 o Switch account Determine the area and the centroid (x, y) of the area. 4m . e O (x=2.2m,y=6m) O None of above O (x=1.2m,y=3m) O (x=1.2m,y=4m) O (x=1.0m,y=2m) n Upload the answer 1} 0 ¥The rectangular lamina with breadth = 40 mm, depth = 60 mm. The Ixx value is mm4 Select one: O 10.66 x 104 O 24 x 104 O 72 x 104 O 32 x 104 Friction force always acts in a direction to the direction of motion. Select one: O inear O normal O opposite O perpendicular
- Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ур C + 2013 Michael Swanbom cc 10 BY NC SA a*b* - a a → x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 41 cm b 25 cm с 50 cm The x coordinate of the centroid is = cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I' The moment of inertia about the y' axis going through the centroid is I✓ cm4. cm4.Consider the channel shown in (Figure 1). Suppose that a = 320, mm b = 260 mm, c = 40 mm. Figure b 1 of 1 y X Determine the location y of the centroid of the channel's cross-sectional area. Express your answer to three significant figures and include the appropriate units. Submit Part B IT' = Value Submit Request Answer Determine the moment of inertia of the area about this axis. Express your answer to three significant figures and include the appropriate units. Value Provide Feedback Units Request Answer ? Units ?The cross sectional dimensions of a beam are shown. If the flange thickness, h, is 16.3 mm, determine the vertical distance from the bottom edge of the flange to the centroid of the cross section. Note: State your answer in mm Note: Do NOT include units in your answer. OMM Answer: I5O HM h mm 120 HA Previous page Next page ASUS VivoBook esc home 19 prt sc f7 f1o end fmPgup 12Pgdn