Calculate the moment of inertia of the shaded area shown in Figure: Q 3(b), with respect to the x and y axes. If this is a cross-section of a beam, which axis of the beam will be able to support more loads? Here, X = [0.6 + (Last 2 digit of your ID x 0.01)] m %3D
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![Calculate the moment of inertia of the shaded area shown in Figure: Q 3(b), with respect
to the x and y axes. If this is a cross-section of a beam, which axis of the beam will be able
to support more loads?
Here, X = [0.6 + (Last 2 digit of your ID x 0.01)] m
y.
0.3 m
0.2 m
1 m
0.3 m
0.1 m
0.1 m
0.2 m
Figure: Q 3(b)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25343bc7-fac0-49e9-b067-dac8bd09b0e9%2F6aaa76be-8c1e-4c4c-be3a-5a55a0de749d%2F2d32m98_processed.jpeg&w=3840&q=75)
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- A simply supported beam L meters long carries a uniformly distributed load of 21KN/m over its entire length and has the cross section shown . Find the moment of inertia of the given section in____ x106. All given dimensions are in mm.A T-beam with drawn x and y axis is shown in the picture. Determine the moments of inertia of the beam.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.Calculate the polar moment of inertia of an H-section (W 150 x 30) with respect to a z axis passing through its centroid and perpendicular to the cross section.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 beam is subjected to equal bending moments of Mz = 57 kip·ft. The cross-sectional dimensions are b1 = 8.3 in., d1 = 1.4 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.4 in., and d3 = 1.7 in. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.For the L5 x 3 x 1/2-in. angle cross section shown, use Mohr’s circle to determine (a) the moments of inertia and the product of inertia with respect to new centroidal axes obtained by rotating the x and y axes 30° clockwise, (b) the orientation of the principal axes through the centroid and the corresponding values of the moments of inertia.1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
- A beam is subjected to equal bending moments of Mz = 44 kip·ft. The cross-sectional dimensions are b1 = 6.5 in., d1 = 1.5 in., b2 = 0.90 in., d2 = 6.2 in., b3 = 2.6 in., and d3 = 1.8 in. Determine:(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis.(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.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.Thank you in advance Sandwich Section (3 Face Plates) has the following dimensions. Use the Face Sheets only in your calculations, t1 = 0.9, t2 = 8.6, t3 = 1.1, t4 = 0.70 Total = 11.3, and W = 14” Calculate the Moment of Inertia, Ix-x for the Cross Section based on the 3 face sheets, only: NA = __________in. Ix-x = ___________________ in4 (4 digits)