The beam AD is fixed to a rigid wall at A and is supported by props...

 

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The beam AD is fixed to a rigid wall at A and is supported by props at B and C as shown in figure 1. In sections AB and BC, the flexural rigidity is EI, but in section CD the flexural rigidity is 2EI. The beam supports a linearly distributed load over span BC. Use Castigliano's Second Theorem (neglecting shear strain energy due to bending) to determine: 1. Reactions at end A. 2. Slope of the beam at the support C. -X B L C go L Figure 1: Beam loading for Problem 1 L D The beam AD is fixed to a rigid wall at A and is supported by props at B and C as shown in figure 1. In sections AB and BC, the flexural rigidity is EI, but in section CD the flexural rigidity is 2EI. The beam supports a linearly distributed load over span BC. Use Castigliano's Second Theorem (neglecting shear strain energy due to bending) to determine: 1. Reactions at end A. 2. Slope of the beam at the support C. -X B L C go L Figure 1: Beam loading for Problem 1 L D