For analysis, the roof awning shown in Figure Q4 (a) is simplified to the one shown...

 

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For analysis, the roof awning shown in Figure Q4 (a) is simplified to the one shown in Figure Q4 (b). The elastic main structure AB is supported by an elastic rod AC, and both components are pin-jointed to the wall at points B and C. A heavy load of P = 80 kN is then hung from point D. a) Using Castigliano's energy method, find the vertical deflection of point D [8 marks] b) WITHOUT PERFORMING ANY CALCULATION, will the slope of the beam at point A be exactly similar to point B? [2 marks] Use the following data: For AC: For AB: Solid high strength steel rod: E=240 GN/m²; Diameter = 6 mm Aluminum tube: E- 70 GN/m²; Outer radius= 22 mm; Inner radius Figure Q4 (a) 0.5 m D 1.5 m Figure Q4 (b) - 19 mm q 60° O B For analysis, the roof awning shown in Figure Q4 (a) is simplified to the one shown in Figure Q4 (b). The elastic main structure AB is supported by an elastic rod AC, and both components are pin-jointed to the wall at points B and C. A heavy load of P = 80 kN is then hung from point D. a) Using Castigliano's energy method, find the vertical deflection of point D [8 marks] b) WITHOUT PERFORMING ANY CALCULATION, will the slope of the beam at point A be exactly similar to point B? [2 marks] Use the following data: For AC: For AB: Solid high strength steel rod: E=240 GN/m²; Diameter = 6 mm Aluminum tube: E- 70 GN/m²; Outer radius= 22 mm; Inner radius Figure Q4 (a) 0.5 m D 1.5 m Figure Q4 (b) - 19 mm q 60° O B

Answer rating: 100% (QA)

To solve part a using Castiglianos theorem for the deflection at point D we need to express the strain energy in the entire structure due to the load ... View the full answer