MAY 30 For the truss shown below disregarding the weight of the structure: 20 KN All vertical members All horizontal membe not to scale (a) Calculate the left and right support reactions for the truss. For side reaction, provide the magnitude and direction of the ho vertical components. (b) Using the method of joints or method of sections, calculate the members a, b, c, d, e, f, and g. For non-zero forces, stat compression for each member. 45° 10 KN P

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 800 kN/m 125 mm 800 kN/m

For the truss shown below determine the vertical displacement at joint b. Assume A = 0.15 in², E = 29,000 ksi

If the allowable bearing stress for the material under the supports at A and B is = 710 psi, determine the maximum load Pmax that can be applied to the beam. The bearing plates each have square cross sections of 5 in. by 5 in. The reactions at the supports are vertical. Assume w = 650 lb/ft, a = 10ft, and b = 5 ft. Answer: Pmax i a B b lb

Determine the force in member CG. The force is positive if in tension, negative if in compression. Assume F1 = 12 kips, F2 = 9 kips, F3 = 12 kips. %3D н 10° G 10' F 10' E 10' A B F, F, F, Answer: CG = i kips %3D

-. For the following truss system, determine the stiffness matrix K and determine the support reactions. Assume A = 0.002 m² and E= 210 GPa 4m 1 B D 5 kN ( to Member 1) 3m SEJ 3m

1.5 m L E 2 t t T t A -2 m 3 kN D B 2 m Determine the force in each of the truss members using method of joints. Draw all pertinent free-body diagrams and indicate tension or compression for the internal forces. Identify any zero-force members.< C I=

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 800 kN/m 125 mm 800 kN/m

Calculate the forces in members BE and BD of the loaded truss. The forces are positive if in tension, negative if in compression. Assume F = 7.5 kN, a = 2.5m, b = 3 m, c = 2 m, and d = 2 m. A F Answers: BE= BD = a i i B b E a b O KN KN

Determine the force in member BE if the force on E is changed to 525kN. 24 kN 17 kN BY 0.8 m # E 8 kN D 7 kN Answer: 1.5 m -1.5 m- S OKN Tension ON Compression