Question

For the loading shown in the below figure, knowing that wo 2 kN/m, the length of the beam is L 2 m, and the bending rigidity EI-204 kN-m2, a) Find the deflection equation for the beam by integration. Clearly specify the conditions to determine the constants of integration b) Find the vertical force needed at point A to prevent vertical displacement at point A (v(0)-0) c) Find the moment needed at point A to have zero slope at point A (v'(0)-0)

Answer 1

Do Bendrmig moment at ony distonce x from A 6 L 24 L С/Х Hee EuL 3o

Hence 30 4E Ox 2 201 20 3 /6 ST let p (A Force at A needed to barecent verhcal cle fechon a 3E1 3o EI 3EI 30 ET 3EI BER 30 EI

v'(o) moment needed at A to have zero Blobe at point A 3 E I 24 EI 3 V)333 334 Nm Anu