8/18/2019 TALLER Workshop1 Link Element

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UNIVERSIDAD SANTO TOMAS

ENGINEERING DEPARTMENT

MECHANICAL ENGINEERING PROGRAM

Finite element Analysis

Workshop Link Element

Three rods of different materials are connected and placed between rigid supports at A and D, as shown

in the figure 1. Properties for each of three rods are given below. At the point B a force of 500 lb is

applied oriented to the left hand. At the point C a force of 750 lb is applied oriented to the right hand.

Using the matrix method determine:

a. 

The normal stresses in the three rods

b. 

The force exerted on the rigid supports

c. 

The deflections of joints B and C relative to rigid support A.

d. 

The strain in the three rods

e. 

Solve the problem using analytical solution

f. 

Solve the problem using Ansys software (link element)

g. 

Compare the results get by the three methods and calculate the error for the nodal

displacements, stress, and strain.

Figure 1.

Aluminum (1) Cast iron (2) Bronze (3)

L1 = 100 in L2 = 50 in L3 = 70 in

d1 = 1,25 in d2 = 2 in d3 = 0,75 in

E1 = 10.000 ksi E2 = 22.500 ksi E3 = 15.000 ksi