The figure below represents the geometry of a beam that has a T-shaped cross-section. W h Find the Moment of Inertia, Ix, for the cross-section in units of in*. w = 5 in. h = 3 in. t = 0.7 in. s = 0.6 in.
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- Hi there sir/madam I need help on this question A beam with a solid homogeneous rectangular section is simply supported at A and B. A concentrated load F = 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the maximum bending stress and give your answer in N/mm2 to two decimal placesb)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) 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.Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 5 in. , b = 7 in. , and c = 1 in. Determine the moment of inertia for the beam's cross-sectional area about the y axis. Express your answer to three significant figures and include the appropriate units.Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 3 in., b = 4 in. , and c = 1 in. Pt A. Determine the distance y¯to the centroid of the beam's cross-sectional area. Pt B. Determine the moment of inertia about the centroidal x′ axis.
- *Consider the beam's cross-sectional area shown in (Figure 1). Suppose that a = 3 in. , b = 4 in. , and c = 1 in.* Pt A. Determine the moment of inertia about the centroidal x′ axis.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.Which of the following moments of inertia should be used in calculating the largest force P that the beam can carry? L = 1.0 m; σem = 140 MPa; τem = 70 MPa
- 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.*Consider the beam shown in (Figure 1). Suppose that a = 160 mm, b = 230 mm, c = 50 mm* Pt A. Determine the moment of inertia of the beam's cross-sectional area about the centroidal x axis. Pt B. Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axis.a. find the area and vertical distances from the bottom edge of the cross-section to the centoid of rectangles b. Find Iz, the area moment of inertia about the z centroidal axis for the cross-section. c. Find QH, the first moment of area about the z centroidal axis for the entire area below point H. This area has width 2c2c and height tt. Also, find QK, the first moment of area about the z centroidal axis for the entire area above point K with width b and height t. d. Determine the magnitudes of the shear stress at point H and the shear stress at point K. e. Find Qmax, the maximum first moment of area about the z centroidal axis for any point in the cross section, and τmax, the maximum horizontal shear stress magnitude in the cross section.