A uniform dead load of 10 kN/m and a single live concentrated force of 25 kN...
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A uniform dead load of 10 kN/m and a single live concentrated force of 25 kN are imposed to the beam shown in Figure 1. For the support conditions, assume that the support at D is a pin, A and C are rollers, and B is a hinge. Strictly use the Müller-Breslau's principle and determine the followings: a. Draw the influence line for the moment at E. Provide the calculation details on finding the shape and peak point values. (10 marks) b. Draw the influence line for the shear at E. Provide the calculation details on finding the shape and peak point values. (9 marks) c. Determine the maximum negative moment at E created by the given loads. Provide the calculation details and explanations. (3 marks) d. Determine the maximum positive shear at E created by the given loads. Provide the calculation details and explanations. (3 marks) A 3m B 3m C + 3m E 3m D Figure 1. The beam structure considered in this question. A uniform dead load of 10 kN/m and a single live concentrated force of 25 kN are imposed to the beam shown in Figure 1. For the support conditions, assume that the support at D is a pin, A and C are rollers, and B is a hinge. Strictly use the Müller-Breslau's principle and determine the followings: a. Draw the influence line for the moment at E. Provide the calculation details on finding the shape and peak point values. (10 marks) b. Draw the influence line for the shear at E. Provide the calculation details on finding the shape and peak point values. (9 marks) c. Determine the maximum negative moment at E created by the given loads. Provide the calculation details and explanations. (3 marks) d. Determine the maximum positive shear at E created by the given loads. Provide the calculation details and explanations. (3 marks) A 3m B 3m C + 3m E 3m D Figure 1. The beam structure considered in this question.
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