For the beam I-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid), where b1 = 10.50 mm, b2 = 2.50 mm, b3 = 38.50 mm, d1 = 1.50 mm, d2 = 36.50 mm and d3 = 12.50 mm. %3D Give your answer in mm4 to two decimal places. b1 d2 + b2 ɛp. b3
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- Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.Determine Iu for the inverted T-section shown. Note that the section is symmetric about the y-axis.a) The second moment of area about the centroidal x-axis (IXXcentroid) for the solid homogeneous beam section shown below is 737,101.55 mm4. What is the second moment of area about the centroidal y-axis (IYYcentroid). Give your answer in mm4 to two significant figures. b) If the second moment of area (IXX) for the solid homogeneous beam section shown below is 917,387.73 mm4, determine the diameter d. Give your answer in millimetres (mm) to two decimal places.
- For the beam I-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid), where b1 = 10.50 mm, b2 = 2.50 mm, b3 = 38.50 mm, d1 = 1.50 mm, d2 = 36.50 mm and d3 = 12.50 mm. Give your answer in mm4 to two decimal places.a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (σmax) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.a) A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. b) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.
- A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown. a.Determine the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths. b.Determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures. c. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures. d. Determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures.b)A simply supported beam has a symmetrical rectangular cross-section. If the second moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous c) The same rectangular cross-section beam in Q2b is subjected to a maximum bending moment of 25,000 Nm and experiences sagging. Assuming that the centroidal axis passes through the beam section at (d/2), calculate the maximum bending stress (?max) the beam will experience. Give your answer in N/mm2 and to 2 decimal places.A simply supported beam has a symmetrical rectangular cross-section. If thesecond moment of area (I) of a beam with a rectangular cross-section is 11.50 x 106 mm4 about its centroidal x-axis and the depth dimension (d) of the rectangular section is 180 mm, determine the breadth dimension (b) for this beam section. Give your answer in millimetres (mm) and to 2 decimal places. Assume the beam section material is homogeneous. (show all work)
- A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side is ?=0.655 m, the height of the top of the block is ℎ=0.915 m, and the top right corner overhangs a distance ?oh=0.195 m from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.Determine the second moment of area (Iyy) about the centroidal y-axis for a solid homogeneous beam section where the dimensions are b = 125 mm and d = 275 mm. Give your answer in m4 to 2 significant figures.For the composite beam section in Figure Q6a, calculate the second moment of areaabout its centroidal x-x axis (Ixx centroid), where b1 = 125.50 mm, b2 = 25.75 mm,b3 = 36.35 mm, d1 = 78.00 mm and d2 = 24.00 mm Give your answer to 2 decimalplaces.