Write the element stiffness matrix for each of the members

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Reference no: EM133083126

Question 1: Consider the truss assembly shown in Fig. 1 which represents a crane carrying a load P = 210 kN. It is made of steel with Young's Modulus of E = 210 GPa. All members have a cross sectional area of A = 4.0 x 10^-4 m². The bars 1, 2, and 7 are of an equal length of L=1 m.

(a) Write the element stiffness matrix for each of the members in the truss.

(b) Write the reduced global matrix by applying boundary conditions.

(d) Find the stress in member 8.

1031_Stiffness matrix.jpg

Figure 1:

Question 2: Consider the truss assembly shown in Fig. 2. All members have cross sectional area of A = 1 in² and made of Aluminium with Young's modulus of E = 68 x 10⁶ psi.

(a) Write the element stiffness matrix for each of the members in the truss.

(b) Assemble the element stiffness matrix into a global stiffness matrix.

(d) Find all the unknown displacements.

(e) Find the stress in each member.

1917_Stiffness matrix1.jpg

Reference no: EM133083126

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