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Use slope-deflection method to determine the reactions (all) of the statically indeterminate 2-span beam. Assume El is constant for all members. Fixed-End-Moment (FEM) table is given at the back of the exam. 3 k/ft. 5 k A 16 ft. 8 ft. 6 ft.

Use slope-deflection method to determine the reactions (all) of the statically indeterminate 2-span beam. Assume El is constant for all members. Fixed-End-Moment (FEM) table is given at the back of the exam. 3 k/ft. 5 k A 16 ft. 8 ft. 6 ft.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Use slope-deflection method to determine the reactions (all) of the statically indeterminate 2-span beam. Assume EI is constant for all members. Fixed-End-Moment (FEM) table is given at the back of the exam. 3 k/ft. 5 k В 16 ft. 8 ft. 6 ft. Formula’s and Positive Sign Convention: MA Mec Mac MN = 2Ek(20N + OF - 3) + (FEM)N For Internal Span or End Span with Far End Fixed Mea MN = 3Ek(0N - 4) + (FEM)N Only for End Span with Far End Pinned or Roller Supported where MN = internal moment in the near end of the span; this moment is positive clockwise when acting on the span. E,k = modulus of elasticity of material and span stiffness k = 1/L. ON, OF = near- and far-end slopes or angular displacements of the span at the supports; the angles are measured in radians and are positive clockwise. = span rotation of its cord due to a linear displacement, that is, = A/L; this angle is measured in radians and is positive clockwise. (FEM)N = fixed-end moment at the near-end support; the moment is positive clockwise when acting on the span; refer to the table on the inside back cover for various loading conditions.
Transcribed Image Text:Use slope-deflection method to determine the reactions (all) of the statically indeterminate 2-span beam. Assume EI is constant for all members. Fixed-End-Moment (FEM) table is given at the back of the exam. 3 k/ft. 5 k В 16 ft. 8 ft. 6 ft. Formula’s and Positive Sign Convention: MA Mec Mac MN = 2Ek(20N + OF - 3) + (FEM)N For Internal Span or End Span with Far End Fixed Mea MN = 3Ek(0N - 4) + (FEM)N Only for End Span with Far End Pinned or Roller Supported where MN = internal moment in the near end of the span; this moment is positive clockwise when acting on the span. E,k = modulus of elasticity of material and span stiffness k = 1/L. ON, OF = near- and far-end slopes or angular displacements of the span at the supports; the angles are measured in radians and are positive clockwise. = span rotation of its cord due to a linear displacement, that is, = A/L; this angle is measured in radians and is positive clockwise. (FEM)N = fixed-end moment at the near-end support; the moment is positive clockwise when acting on the span; refer to the table on the inside back cover for various loading conditions.
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