CIVL 7/8117
Chapter 5 - Plane Frame and Grid Equations - Part 1
Plane Frame and Grid Equations
Many structures, such as buildings and bridges, are
composed of frames and/or grids.
This chapter develop
CIVL 7/8117
Chapter 4 - Development of Beam Equations - Part 2
Beam Stiffness
General Formulation
We can account for the distributed loads or concentrated loads
acting on beam elements by considering
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Chapter 3a - Development of Truss Equations
Development of Truss Equations
Having set forth the foundation on which the direct stiffness
method is based, we will now derive the stiffness m
CHAPTER
4
Development
of Beam Equations
Introduction
We begin this chapter by developing the stiffness matrix for the bending of a beam
element, the most common of all structural elements as evidenced
CE
P113. Compute the reactions and draw the shear and
moment curves for the beam in Figure P113. E] is
constant.
M-30kN-m
c
MA p A, 3° hJ-‘M
6 ZIA a 697
$ 5 m I S'M ;
RA
BEAM ANALYSIS USING THE STIFFNESS
METHOD
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Development: The Slope-Deflection
Equations
Stiffness Matrix
General Procedures
Internal Hinges
Temperature Effects
Force & Displacement Transfor