3. The center post B of the assembly has an original length of 124.8 mm whereas posts A and C have a length of 125 mm. If the caps on the top and bottom can be considered rigid, determine the average normal stress in each post. The posts are made of aluminum and have a cross sectional area of 400 mm². Ea=70 GPa. Use the Force Method 100 mm 100 mm- 125

Problem 7. [Concepts: Allowable stresses and factor of safety] Two aluminum rods AB and AC support a vertical load P. The allowable tensile stress for the aluminum is Gallow = 150 MPa. a) If P = 20 kN, determine the required diameters of the rods AB and AC. b) If the diameters of the rods AB and AC are 10 mm and 8 mm, respectively, determine the largest vertical force P that can be supported. U B

A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1160 mm2. Assume a = 2.3 m, b = 6.8 m, and c = 2.8 m. If P = 50 kN and Q = 75 kN, determine the normal stress in each member. L. Answers: JAB OBC i i JAC= i P b MPa (C) MPa (T) MPa (T)

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