Example Problem The generalized beam shown in Fig. 1 is loaded by a linear vertical distributed...

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Example Problem The generalized beam shown in Fig. 1 is loaded by a linear vertical distributed load (maximum value: q) in the range 0 < X L and a linear horizontal load (maximum value: p) in the range L X 4 + 4. The material constant (E) and the geometrical properties (I, A) are constant and the total length of the beam is equal to L + L. Model the member with two generalized beam finite elements of length L and L. Z I. X 90 E, I, A Example Problem Po LI LII Figure 1: Plane generalized beam structure with different distributed loads Determine: The unknowns at the nodes. The horizontal reaction force at node 1, i.e. for X = 0. Simplify the nodal unknowns for the special case 4 = 4 = L. Which nodal deformations are obtained for the special case L= L and L 0. Calculate and schematically sketch the bending line uz(X) in the range 0 X L + L for the special case 4 = 4|| = L. Example Problem The generalized beam shown in Fig. 1 is loaded by a linear vertical distributed load (maximum value: q) in the range 0 < X L and a linear horizontal load (maximum value: p) in the range L X 4 + 4. The material constant (E) and the geometrical properties (I, A) are constant and the total length of the beam is equal to L + L. Model the member with two generalized beam finite elements of length L and L. Z I. X 90 E, I, A Example Problem Po LI LII Figure 1: Plane generalized beam structure with different distributed loads Determine: The unknowns at the nodes. The horizontal reaction force at node 1, i.e. for X = 0. Simplify the nodal unknowns for the special case 4 = 4 = L. Which nodal deformations are obtained for the special case L= L and L 0. Calculate and schematically sketch the bending line uz(X) in the range 0 X L + L for the special case 4 = 4|| = L.

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To solve the example problem lets break it down into steps and address each part Step 1 Identify the unknowns at the nodes The unknowns at the nodes c... View the full answer