AERSP_301_HW_7_FEM

AERSP_301_HW_7_FEM - AERSP 301: HW #7 Stationary Principle,...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
AERSP 301: HW #7 Stationary Principle, Finite Element Method Assigned: Wednesday, October 21, 2009 Due: Wednesday, November 4, 2009 Problem 1 (20 pts) Given the spring system below, use the Stationary Principle of Total Potential Energy to determine the displacements q1, q2, and q3. Leave your answers in terms of spring stiffness and loads. Problem 2 (20 pts): Using at least 2 elements, use the finite element method to analyze the rod shown below. Determine a) The global stiffness matrix and load vector b) The displacements at pts 1, 2, and 3 c) The reaction force at the cantilevered end using the constrained equation E = 10e3 psi , A = 2 in 2 , L = 40 in P1 = 50 lbs, P2 = 100 lbs, f = 5 lbs/in K 1 K 2 K 3 P 4 P 2 P 1 P 3 q 3 q 2 q 1 P 1 P 2 f EA, L 3 x = ¼ L 1 2
Background image of page 1

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

View Full DocumentRight Arrow Icon
Problem 3 (20 pts): Using at least two finite elements, use the finite element method to analyze the beam shown below. Determine: a) The global stiffness matrix and load vector b) The rotation at the pinned ends c) The deflection at the halfway point
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

AERSP_301_HW_7_FEM - AERSP 301: HW #7 Stationary Principle,...

This preview shows document pages 1 - 3. Sign up to view the full document.

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