Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in the diagram below. The beams (AB and CD) have different lengths with the magnitude stated in Table 3. Due to the arrangement of the beams, there is an initial gap, A, separating the beams. The gap is present before any load has been applied to the beams. y w = wo sin A () Symbol E B Gallow Tallow LI L2 A C X Note: Diagram not to scale. Beam cross-section -L₂²- Figure 3: Arrangement of beams for question 2. Both beams have built in end supports. Beam AB is loaded with a varying distributed load. You have been tasked with analysing the beam arrangement. a) A non-uniform distributed load is applied to beam AB as shown above. Determine the intensity of the distributed load, wo, that closes the initial gap, A. This means that the maximum deflection of point B for beam AB will be equal to A. You can assume that the beams will contact. Value 200.0 250.0 150.0 400.0 250.0 1.0 ✓ 45mm 45mm Units GPa MPa MPa mm mm mm

Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in the diagram below. The beams (AB and CD) have different lengths with the magnitude stated in Table 3. Due to the arrangement of the beams, there is an initial gap, A, separating the beams. The gap is present before any load has been applied to the beams. y w = wo sin A () Symbol E B Gallow Tallow LI L2 A C X Note: Diagram not to scale. Beam cross-section -L₂²- Figure 3: Arrangement of beams for question 2. Both beams have built in end supports. Beam AB is loaded with a varying distributed load. You have been tasked with analysing the beam arrangement. a) A non-uniform distributed load is applied to beam AB as shown above. Determine the intensity of the distributed load, wo, that closes the initial gap, A. This means that the maximum deflection of point B for beam AB will be equal to A. You can assume that the beams will contact. Value 200.0 250.0 150.0 400.0 250.0 1.0 ✓ 45mm 45mm Units GPa MPa MPa mm mm mm

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.
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