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Q1. The figure shown below is extracted from bending stress in a beam experiment where an inverted Aluminum (E 69 GPa) T-sect

Load W is increased as (0, 100N, 200N, 300N, 400N and 50ON). The results (strains us) at each strain gauge for each loading a

Q1. The figure shown below is extracted from bending stress in a beam experiment where an inverted Aluminum (E 69 GPa) T-section is subjected to two point-Loads (each 1/2W). The strain across the depth of the cross section is measured using strain gauges which are sensors that experience a change in electrical resistance when stretched or compressed. Connections to digital strain display Beam Loading frame Pin support -Retaining pin Strain gauges Locating hole for STRBA load cel 7 mm Roller support 2 Strain Gauge 5 6 7 350 mm 350 mm 835 mm 38.1 mm
Load W is increased as (0, 100N, 200N, 300N, 400N and 50ON). The results (strains us) at each strain gauge for each loading are summarized in the table below: Gauge Bending moment (Nm 17.5 35 52.5 70 87.5 -536 -377.5 65.5 109.5 -213 -229.5 -155.5 -304.5 2,3 39.5 -26.5 31.7 88.5 6,7 38.1 49.5 96.5 145 193 8,9 Note that the strains value is dependent on the distance from neutral axis. So, for strain gauges 2 and 3, the strain readings would almost be the same because they are located on the same level). a) Calculate the location of the neutral axis. Why neutral axis must coincides with the centroid of the cross section. Calculate the second moment of area (or moment of inertia). b) c) Draw the bending moment diagram for the simply supported beam. Calculate the maximum bending moment for W bending moments shown in the table. Using flexural formula, calculate the bending stresses at each strain location. When the load is 500N. Determine the contribution of the flange in the bending moment. 100N, 200N, 300N, 400N and 50ON and compare them with values of d) e) II. Experimental Part: a) Draw graph of the strains against bending moment for each strain gauge. What is the relation Draw graph of the strain against the vertical position of strain gauges for all strain gauges. Where From the graph of Strains Vs. the vertical positions, Calculate the maximum stress in the section by turning the strains into stress values (at the b) xis? Compare to the one you've calculated in Part (U)-(a) c) d) maximum load). Compare this to the theoretical value.
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