2-25 - CHAP 2 Uniaxial Bar and Truss Elements 129 25. In...

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

View Full Document Right Arrow Icon
CHAP 2 Uniaxial Bar and Truss Elements 129 25. In the structure shown below, the temperature of Element 2 is 100 o C above the reference temperature. An external force of 20,000 N is applied in the x -direction (horizontal direction) at Node 2. Assume E = 10 11 Pa, A = 10 -4 m 2 . (a) Write down the stiffness matrices and thermal force vectors for each element. (b) Write down the global matrix equations. (c) Solve the global equations to determine the displacement at Node 2. (d) Determine the forces in each element. State whether it is tension or compression. (e) Show that force equilibrium is satisfied at Node 2 Solution: (a) Since the truss joints (nodes) are allowed to move only in the horizontal direction, we can consider the two members as uniaxial bar elements, which have two DOFs. The element stiffness matrices and thermal load vectors become   1 1 7 2 11 10 u u    k , 2 2 7 3 10 u u k   1 (1) 2 10 T u AE T u      
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

2-25 - CHAP 2 Uniaxial Bar and Truss Elements 129 25. In...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online