A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear springs at the ends P and Q. For the spring at the end P, the spring constant K_P = 100 kN/m. If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant (in kN/m) for the spring at the end Q (K_Q) is _______.