Problem 1 Influence lines
The truss shown carries a moving uniform live load of 3 kips/ft and a moving concentrated live load of 20 kips along its top chord. What is the maximum force in member Bb. Use height h = 20 (not 20 ft).
Problem 2 Deflection of beams. double integration method
Use the double integration method to determine the slope at A and the deflection at C.
Beam is a W130 x 24, (Use the given section to obtain the moment of Inertia, I from the attached Table). [Hint: You may use method of superpositioning]
wo= 4 kNim, Pc = 6 kN, LA = 1.90 m, LBc = 1.90 m, E 200 GPa
Problem 3 a) Deflection of beams: Virtual work Use the virtual work method to compute the vertical deflection of the cantilever beam at point D in the Figure below, given: LkC = 2ICD, L1= 7ft = 6 ft L3= 7ft P = 9 kips w = 1 kift E = 29.000 psi, ICI) = 800 in4
b) What is the minimum required value of Moment of Inertia, I if the deflection of point C is not to exceed 0.4 in? use E = 29,000 psi., and the information above
Problem 4 Virtual work: truss deflection
A steel truss with pinned joints is constructed as shown. Support R1 is pinned and support R2 is a roller. The length:area ratio for each member is 40 in 1. The modulus of elasticity of the steel is 2.9 x 107 lbfin2. What is the vertical deflection at the point where the load P is applied? Use load P = 8000.
