3. Given the beam shown below with constant E and I: 6 kip 4 kip/ft 4...
The bending moment diagram of a fixed ended beam with an external moment couple of 200 kip-ft applied at midspan is shown below. The flexural rigidity EI is constant. In terms of El, determine (a) The equations for the slope v'(x) for each segment of the beam. (b) The equations for the deflection v(x) for each segment of the beam. (c) The slope at midspan. (d) BONUS 15%): Determine the maximum vertical deflection, the maximum slope, and the locations of each.
5.2 kip-ft 9.5 kip/ft I. PROBLEMS 3) (25 points) The cantilivered W16x45 beam is made of A-36 steel and is subjected to the loading shown. Determine: a) the shear and bending moment diagrams. b) the maximum deflection (in in) at the point B and maximum slope (in rad) of point B using superposition, and c) if a roller support is introduced at B, determine, the force on this additional roller. 1 1 1 1 1 1 1 WW 18 ft
A beam is subjected to the distributed transverse load Wo = 5.1 kip/ft as shown below. The beam lengths are given by d= 6 ft. Determine the magnitude of the resultant internal bending moment acting on the cross section at point C, assuming the reactions at the supports A and B are vertical. Express your answer in kip-ft. ti I . Oly
For the cantilever beam and loading shown, determine the slope and defection at point B Take w = 3 kipn and E = 29 x 106 psi. (Round the final answers to three decimal places.) 2.0 in. I kip 4.0 in 3 ft 10-3 rad 0.245 in The slope at point B is The deflection at point B is HintsReferences Book&Resources
For the cantilever beam and loading shown, determine the slope and defection at point B Take w = 3...
The simply support beam below is loaded as shown. O = 45° 75 kip 30 kip/ft 500 kip-ft me 1 ft 3 ft 1.5 ft 2.5 ft 2.5ft The exact value of the normal force (N), shear force (V), and bending moment (M) at a distance of x=7 feet. Be sure to indicate both magnitude and direction with arrows. (a) FBD and support reactions (b) FBD to find internal forces (c) Calculate N, V, and M at 7 feet
The simply support beam below is loaded as shown. = 45 75 kip 30 kip/ft 500 kip-ft mo 1 ft 3 ft 1.5 ft 2.5 ft 2.5ft The exact value of the normal force (N), shear force (V), and bending moment (M) at a distance of x=7 feet. Be sure to indicate both magnitude and direction with arrows. (a) FBD and support reactions (b) FBD to find internal forces (c) Calculate N, V, and M at 7 feet
3) For the beam and loading shown in figure, E = 30 x 106 psi, i = 200 inº. Determine (a) the reaction force at A and (b) the deflection at C. 3 ft 8 kip 2 kip/ft IA с B -8 ft
3) For the beam and loading shown in figure, E = 30 x 106 psi, I = 200 int. Determine (a) the reaction force at A and (b) the deflection at C. 3 ft 8 kip 2 kip/ft IA с в | -8 ft
3) For the beam and loading shown in figure, E = 30 x 106 psi, I = 200 in. Determine (a) the reaction force at A and (b) the deflection at C. 3 ft 8 kip 2 kipit IA с В | -8 ft
Рkip W kip/ft Problem No. 6 (30 points) The cantilever beam of length L and constant modulus of rigidity El is supported at B and subjected to uniformly distributed load w (kip/ft) throughout and a concentrated load P (kip) at A. (a) Using the method of integration, determine deflection at A (as fraction; do not use decimal). (b) Determine the rotation at A (as fraction; do not use decimal) (c) List two major assumptions used in solving this problem. El...