*6-40. Locate the centroid y of the cross-sectional area of the concrete beam. 120 mm 120 mm 30 mm 270 imm 60 mm TITY 30 mm
Q: F9-10. Locate the centroid (T. F) of the cross-sectional area. 4 in. Tos in. -3 in.- F9-10
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Q: Determine the coordinates of the centroid of the shaded area. 3" 6"- 2"
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Q: F6-3. Determine the centroid y of the area. 2 m Finti -1m- Prob. F6-3
A: Consider the following figure:
Q: 6-3. Locate the centroid Iof the area.
A: Draw a small section in the parabolic curve.
Q: *6-44. Locate the distance y to the centroid of the member's cross-sectional area. E0 mm
A: Consider the diagram shown below for the given section.
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Q: 6-53. The composite plate is made from both steel (A) and brass (B) segments. Determine the weight…
A: Given Data: The density of steel is ρst = 7.85 Mg/m3. The density of brass is ρbr = 8.74 Mg/m3. The…
Q: : Find the centroid of the next shaded area. 1m Im 1 Y 1.5m Im r=1
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Q: 6-27. Locate the centroid y of the area. ута 100 mm -100 mm-
A: The curve and line expressions are given as, The area of the shaded part is given as,
Q: 6-49. Determine the distance 7 to the centroid of the shape that consists of a cone with a hole of…
A: the given 3d object is a combination of cone and cylinder the centroid of the cylinder will be at a…
Q: 6-34. Locate the centroid of the quarter-cone.
A: Consider the diagram shown below for the element volume inside the quatre cone. Here,
Q: 6-22. Locate the centroid I of the area. y=a sin +
A: Write the expression of the cross-sectional area. Write the expression of the centroid of the…
Q: F9-1. Determine the centroid (x, y) of the shaded area. 1m 1 m F9-1
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Q: *6-8. Locate the centroid I of the area.
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Q: 9-62. Locate the centroid (x, y) of the member's cross- sectional area. 30 mm 40 mm 50 mm 100 mm -60…
A: We will draw the cross section of the members: As shown above the cross section is divided into…
Q: - 60 - - 60 - 60 R= 80 80 80 - 40
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Q: A 6 12 -Хо 12 Х
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Q: 6-51. The assembly is made from a steel hemisphere, Pa - 7.80 Mg/m, and Pal - 2.70 Mg/m'. Determine…
A: Given data: The density of steel hemisphere is ρst = 7.80 Mg/m3 = 8 x 103 kg/m3. The radius of the…
Q: 6-15. Locate the centroid (7, 9) of the area. т 1m -2 m- Prob. 6-15
A: Given Data: The equation of curve is y = 1-x2/4. Due to symmetry: The centroid of given area in…
Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. Answer: y = 1…
A: Correct answer: pi/2 = 1.57
Q: 6-21. Locate the centroid y of the area. x-b) -в—
A: The area with the strip is given as, The functions are given as, The area of the strip is written…
Q: F6-5. Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the y…
A: Given Data: The equation of the curve is z2 = y/4. The curve is rotated about the y-axis. The curve…
Q: 6-43. Locate the centroid y of the cross-sectional area of the built-up beam. 190m s 0 mm 490mm
A: A1=300×20 A1=6000 mm2 A2=200×2A2=4000 mm2 A3=A4=450×20=9000 mm2
Q: Locate the centroid y̅ of the beam’s cross-sectional area.
A: Given Data: The thickness of the web of the T section is t = 50 mm. The length of the web of the T-…
Q: 6-37. Locate the centroid y of the beam's cross-sectional area. Neglect the size of the corner welds…
A: Dividing beam cross section area in 3 Section. 1-Bottom circle , 2-Rectangle section , 3-Top circle.…
Q: 6-14. Locate the centroid (F, 7) of the area. y- 3(1 -)
A: The given function is, y =3 (1-x2) Consider a strip as shown in figure below of width dx and height…
Q: 6-25. Locate the centroid y of the area. Im -1 m
A: The given problem will be solved by using method of integration. We have to consider an elemental…
Q: 5-101 Locate the centroid of the shaded area shown in Fig. y y? = 2x 2 in. y= 0.52 2 in.
A: The diagram of the shaded area with a vertical strip is given as, The equations of curves are given…
Q: 6-41. Locate the centroid ỹ of the beam having the cross- sectional area shown. -150 mm - 15 150 mm…
A: Divide the given I section and divide it into 3 separate parts. Specify the coordinate system as…
Q: В 75 mm 250 mm 40°
A: Line Length Xi Yi XiLi YiLi AB 250mm 125cos40 125sin40 23938.889 20087.113 BC 3.14(75)…
Q: 9-6. Locate the centroid y of the area. =1-2 1m -2 m-
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Q: Locate the centroid (X, Y)of the shaded area. Please show all your work! y 4 m 1. 4 m 4-
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Q: -r = 100 mm 50 mm -180 mm 3.
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Q: Locate the centroid (X only) of the shaded area y =12 - 3 x 3 m Fig.1.A 3 m y = 4 – 2 m -2 m
A: Consider a small strip of length dx Integrating the area of the strip over the limits gives the…
Q: Locate the centroid (x, y) of the composite area. Oa) = 0.97 fty = 0.45 ft Ob) = 1.48 fty = 0.87 ft…
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Q: 6-5. Locate the centroid y of the area. y = -b-
A: Given Data: The given curve is y=hb2x2 The curve extends from (0,0) to (h,b). To determine the…
Q: 6-9. Locate the centroid y of the area.
A: Given Data: The given curve is y=x24 The curve extends from (0,0) to (4,4). To determine the y…
Q: *6-32. Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the…
A: Given: The equation formed by revolving the shaded region is y2+z-a2=a2 The centroid or center of…
Q: Determine the location of the centroid of the cross-section in the y-axis from the bottom (mm).
A: Given: h= 243 mm a= 112 mm b= 182 mm c= 10.8 mm t= 14.7 mm To determine: The location of the…
Q: Determine the distance from the upper surface of the symmetric double-T beam cross section to the…
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Q: 9-69. A triangular plate made of homogeneous material has a constant thickness that is very small.…
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Q: 6-42. Locate the centroid y of the cross-sectional area of the beam constructed from a channel and a…
A: The area of each segment and its respective centroid is shown below which is having all components…
Q: *6-4. Locate the centroid I of the area. y = -b-
A: Draw a small rectangular element as shown below, The area of small element is, dA=y×dx=hb2x2dx
Q: 6-33. Locate the centroid of the ellipsoid of revolution.
A: To find out the volume dV=πz2dy∫dV=∫0bπa2(1-y2b2)dyV=2πa2b3
Q: Locate the centroid (x̄, y̅) of the metal cross section.Neglect the thickness of the material and…
A: Draw a diagram for the cross-section and the cross-section can be divided into 4 parts marked as 1,…
Q: 6-13. Locate the centroid y of the area.
A: Given Data: The given curve is y=-ha2x2+h To determine the y coordinate of centroid take an…
Q: F6-7. Locate the centroid (T, 5, 7) of the wire bent in the shape shown. 300 min 600 mm 400 mm
A: From the given data: (1 m=1000 mm)
Q: A- Locate the centroid (X only) of the shaded area y =12 - 3 x 3 m Fig.1.A 3 m y = 4 – 2 m- 2 m-
A: The centroid of an area can be thought of as the geometric center of that area. The location of the…
Q: F9-7. Locate the centroid (I, ỹ, 7) of the wire bent in the shape shown. 300 mm 600 mm 400 mm
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Q: N N M R x Determine the centroid of the shape above if N = 1.5 m, M = 3 m and R = 2 m. (2.67, 3.11)…
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- Locate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes and determine thecentroids of the each rectangle. Use the formula AT (X) = A1 (x1) + A2(x2) + A3 (x3) to solve for x and AT (y)= A1(y1) + A2 (y2) + A3y3t o solve for Y. AT = A1+A2 + A3If the 600-kN force acts through the centroid of the cross-section, determine the location y of the centroid and the average normal stress on the cross-section. Also, sketch the normal stress distribution over the cross-section.The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.
- Determine the final metacentric height7-14The curved rod AD of radius r has a weight per length of w. If it lies in the horizontal plane, determine the resultant internal loadings acting on the cross-section at point B. Hint: The distance from the centroid C of the segment AB to point O is CO = 0.9745r.
- Determine the location y¯y¯ of the centroidal axis x¯−x¯x¯−x¯ of the beam's cross-sectional area. Neglect the size of the corner welds at AA and BB for the calculation. Take rrr = 66 mmmm .Determine the volume and the surface area of the solid obtained by rotating the area of Prob. 5.8 about (a) the x axis, (b) the y axis.L-length steel with a diameter at the wide end, twice the diameter at the narrow end determine the X and y coordinates of the center of mass of the bar in L. (The density of steel material is constant).
- The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor.The pipe has a mass of 12 kg>m. If it is fixed to the wall at A, determine the resultant internal loadings acting on the cross-section at B.Locate the center of mass x̄ of the straight rod if itsmass per unit length is given by m = m0(1 + x2/L2).