Please show work Answer shown below Problem 4: Use the force-displacement equations for beams to find...
Please show work Answer shown below Problem 7: Consider the statically indeterminate beam shown below with the given loading. E-29,000 ksi and I-600 in. Use the stiffness method to find the rotation at node1 Draw the shear and moment diagrams for the beam. 12 k a) c) 18 ft Problem 7: a) 82.01 x 10-3rad b) P7.6k, M2-33.7k ft, P2 4.4k c) 7.0 4.4 45.6 33.7
Please show work Answer shown below Problem 8: Consider the statically indeterminate beam shown below with the given loading. E and I are constant. a) Find the rotation at node 2 using the stiffness method. b) Find the unknown reactions using equilibrium and the force-displacement relationships. Draw final free body diagrams of the two beam elements and node 2, showing all forces with the correct values and directions. c) 2.5 k/ft 30 ft 20 ft Problem : θ2=562.5k-ft2 rad a)...
Problem 4. Determine the reactions and draw the shear and bending moment diagrams for the beams shown below using the slope-deflection method. 20 k 3 k/ft 1.5 k/ft E 29,000 ksi 1 1,650 in.4
Please show work Answer shown below Problem 5: Consider the continuous beam structure shown below. For each node, state the force/moment and displacement/rotation boundary conditions required to properly set-up a solution by the stiffness method. Indicate unknown values with a "u 24 k 125 k-ft 200 k-ft Problem 5: M1 200k ft P1 24 k M2 0 k ft 1-u 0,- u Ma = 125k . ft 3-u
Problem Two: The beam shown below part is for an interior span and is cast monolithically with a one-way slab. The clear span for the beam is 30 feet, and the clear spacing between beams is 10 feet. (a) Reinforcement is shown for the positive moment region. Determine if the beam is adequate to support a uniformly distributed, factored load of 5 k/ft. (b) Design the slab reinforcement for the positive moment region using a factored load of 500 psf....
Problem 7: Consider the statically indeterminate beam shown below with the given loading. E- 29,000 ksi and I- 600 in a) Use the stiffness method to find the rotation at node 1. b) Determine the unknown reactions using the force-displacement relationships. c) Draw the shear and moment diagrams for the beam. 12 k 2
1. For the simply supported beam subjected to the loading shown, Derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) a. b. Plot the shear-force and bending-moment diagrams for the beam using the derived functions c. Report the maximum bending moment and its location. 42 kips 6 kips/ft 10 ft 20 ft
Problem # 2 For the plane truss shown below determine the horizontal displacement at joint 3. Assume A 0.4 in and E 29,000 ksi, 10 kip (2) 5 kip (3) 12 ft (1) (5) 1 (4) ttr 9 ft + + LF 8F L, in member F (1) (2) (3) (4) (5) "in Problem # 2 For the plane truss shown below determine the horizontal displacement at joint 3. Assume A 0.4 in and E 29,000 ksi, 10 kip (2)...
Please show work Answer shown below Problem 10: Use the moment-distribution method to find the member end moments for the beam shown below. EI-constant. Draw free body diagrams of both members with the final member end moments (do not calculate member end shears) 18 k 2 k/ft Problem 10: Мав-35.6k-ft, MBA--10 1.5k-ft, MBc-10 l .5 k-ft, MCB--1 74.2 k-ft 18 k 2 k/ft 35.6 k-ft 101.5 k-ft 101.5 k-ft 174.2 k-ft 10 ft 15 ft 30 ft
Problem 2 Determine the vertical displacement of joint C. Use the method of virtual work. E A is a roller and D is a hinge support. 29,000 ksi 6 ft wall 2 in2 8 ft 2 in A 2 in 80 k