Question

To understand the notation, sign conventions, and use of the general slope-deflection equation. A section of a continuous beam (Figure 1) has three degrees of freedom: the angular displacements θΑ and θΒ and the linear displacement Using the slope-deflection method of analysis, these displacements are related to the internal moments at the supports A and B The internal moment at A, MAB, is the span's cord where k is the stifiness, is the stfines, A is t and (FEM)AB is the fixed end moment at A due to any loads applied on the span AB A similar equation can be written for the moment at B Figure 4 of 4

A) The internal span CD on a continuous beam is deflected as shown (Figure 2) as a result of loads on other portions of the beam, where L = 25 ft , α = 0.75 ∘, β = 0.35 ∘, E = 2.9×10⁴ ksi , and I = 1500 in4 . There is no vertical deflection at either end. What is the internal moment at D?

M_D

B)The end span EF on a continuous beam is deflected as shown (Figure 3) as a result of support settlement and loads on other portions of the beam, where L = 25 ft , α = 0.65 ∘, β = 0.1 ∘, ΔE = 2.2 in. , E = 2.9×10⁴ ksi , and I = 1500 in4 . What is the internal moment at E?

M_E

C)The internal span GH on a continuous beam is deflected as shown (Figure 4) as a result of loads on other portions of the beam, where L = 25 ft , α = 0.45 ∘, β = 0.1 ∘, ΔG = 2.2 in , ΔH = 1.2 in , E = 2.9×10⁴ ksi , and I = 1500 in4 . What is the internal moment at G?

M_E

Answer 1

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