Two prismatic beams with identical cross-sections are fabricated from steel and arranged as shown in the...

 

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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 Li B C X Note: Diagram not to scale. Beam cross-section 45mm D 45mm 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, 0, 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. Symbol Value Units E 200.0 GPa O allow 250.0 Tallow 150.0 LI 400.0 mm L2 250.0 mm A 1.0 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 Li B C X Note: Diagram not to scale. Beam cross-section 45mm D 45mm 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, 0, 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. Symbol Value Units E 200.0 GPa O allow 250.0 Tallow 150.0 LI 400.0 mm L2 250.0 mm A 1.0 mm