The pin connected structure shown in the figure consists if a triangle shaped rigid bar, a cast iron bar(1) and an alluminum alloy rod(2). Bar (1) has a rectangular cross sectional area (width x thickness) of A1 = 50 * 25 mm2 and comes with material properties of E1 = 168 GPa and a1 = 10.8 * 10-6 /C . The diameter of rod (2) is d2 = 40 mm and it comes with material properties of E2 = 69 GPa and a2 = 23.6 * 10-6 /C. Both members are unstressed when the structure is assembled at 25 C. After the assembly, the temperature of the bar (1) is decreased by 45 C while the temperature of rod (2) is kept at 25 C. Determine : - The normal stresses in the bar(1) and rod (2) - The deflections of point B and point D - The total change (including both thermal and mechanical effects) in the width of bar (1) if it's poisson's ratio is given as v1 = 0.32
The pin connected structure shown in the figure consists if a triangle shaped rigid bar, a cast iron bar(1) and an alluminum alloy rod(2). Bar (1) has a rectangular cross sectional area (width x thickness) of A1 = 50 * 25 mm2 and comes with material properties of E1 = 168 GPa and a1 = 10.8 * 10-6 /C . The diameter of rod (2) is d2 = 40 mm and it comes with material properties of E2 = 69 GPa and a2 = 23.6 * 10-6 /C. Both members are unstressed when the structure is assembled at 25 C. After the assembly, the temperature of the bar (1) is decreased by 45 C while the temperature of rod (2) is kept at 25 C. Determine :
- The normal stresses in the bar(1) and rod (2)
- The deflections of point B and point D
- The total change (including both thermal and
![500 mm
350 mm
(),
B
100 mm
300 mm
E (2)
400 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4082bea-7e84-4342-a11b-06d15f2251a0%2F9438b192-fe6d-4586-952e-ee58511a0895%2Fxqlp66_processed.jpeg&w=3840&q=75)
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