# HW11 - 5 Determine the support reactions and check global...

This preview shows pages 1–2. Sign up to view the full content.

University of California, Berkeley Dept. of Civil and Environmental Engineering Spring Semester 2009 1 CE 121 — Advanced Structural Analysis Homework Set #11 (due May 1, 2009) 1. Problem (10 points) Axial deformations can be neglected in all elements of the structural model in the figure. The flexural stiffness of the elements is °± = 60,000 . The structure is subjected to a downward vertical force of 100 units as shown in the figure. 1. Identify the three independent, non-trivial degrees of freedom and determine the compatibility matrix ² ? [1 point]. 2. Form the structure stiffness matrix directly (by physical interpretation) [4 points]. 3. Solve for the displacements at the free degrees of freedom ³ ? − ³ 0 = ´µ ? [1 point]. 4. Determine the basic element forces and draw the moment diagram [2 points].

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5. Determine the support reactions and check global equilibrium [1 point]. 6. Draw the deformed shape of the structure [1 point]. University of California, Berkeley Dept. of Civil and Environmental Engineering Spring Semester 2009 2 2. Problem (5 points) The structure model below has a column with flexural stiffness °± ² and girders with flexural stiffness °± ? and a brace with axial stiffness °³ . The frame elements have negligible axial deformations. 1. Determine the structure stiffness matrix in terms of °± ² , °± ? , and °³ [3 points]. 2. Setup the ´ vector for the distributed load shown [1 point]. 3. Setup the ´ vector for a thermal curvature µ = 2 × 10 − 3 on the girders (elements b and c). For this question, assume °± ? = 50,000 [1 point]....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

HW11 - 5 Determine the support reactions and check global...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online