The steel beam shown below carries a uniform distributed load and a concentrated load at its...

  

Transcribed Image Text:

The steel beam shown below carries a uniform distributed load and a concentrated load at its free end. The elastic modulus, E=29000 ksi, and the second moment of area, I=1600 in¹, are constant along the length of the beam. There is a pin support at A and a roller support at B. A 0.3 kip/ft 20 ft Use virtual work with graphical integration of the internal work, to find the following quantities: 7777 B 5 ft 12 kip C 1. The magnitude and direction of the deflection at the free end of the beam (point C). (Answer: uc=0.080011 inch ↓) Note: You will find after drawing the virtual moment diagram, m(x), that you will want to construct the real curvature diagram, (x), by cantilever parts at B. 2. The magnitude and direction of the rotation at the roller support (point B). (Answer: 0B 0.0010086 rad) Note: You can re-use the real curvature diagram from the previous question. Make sure you use consistent length units. The steel beam shown below carries a uniform distributed load and a concentrated load at its free end. The elastic modulus, E=29000 ksi, and the second moment of area, I=1600 in¹, are constant along the length of the beam. There is a pin support at A and a roller support at B. A 0.3 kip/ft 20 ft Use virtual work with graphical integration of the internal work, to find the following quantities: 7777 B 5 ft 12 kip C 1. The magnitude and direction of the deflection at the free end of the beam (point C). (Answer: uc=0.080011 inch ↓) Note: You will find after drawing the virtual moment diagram, m(x), that you will want to construct the real curvature diagram, (x), by cantilever parts at B. 2. The magnitude and direction of the rotation at the roller support (point B). (Answer: 0B 0.0010086 rad) Note: You can re-use the real curvature diagram from the previous question. Make sure you use consistent length units.

Answer rating: 100% (QA)

Solutions Step 1 Explanation To calculate the deflection and rotation of the given beam using the method of virtual work with graphical integration we need to follow these steps Step 1 Calculate Defle... View the full answer