A 21.00-m steel beam with 6.000 cm × 6.000 cm cross-section is supported at opposite ends by two wires of equal length but of different composition and diameter. One wire, composed of copper, has a diameter of 0.8500 mm. The other wire is made of aluminum. If the steel beam remains perfectly level, find the diameter of the aluminum wire. (For the purposes of this problem, pretend that the information in the PUI is good to at least four significant figures.) (a) 0.6732 mm (b) 1.073 mm (c) 1.355 mm (d) 1.263 mm 6.

A 21.00-m steel beam with 6.000 cm × 6.000 cm cross-section is supported at opposite ends by two wires of equal length but of different composition and diameter. One wire, composed of copper, has a diameter of 0.8500 mm. The other wire is made of aluminum. If the steel beam remains perfectly level, find the diameter of the aluminum wire. (For the purposes of this problem, pretend that the information in the PUI is good to at least four significant figures.) (a) 0.6732 mm (b) 1.073 mm (c) 1.355 mm (d) 1.263 mm 6.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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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.
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.
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