The magnitude of βL for the beam in Problem 10.44 is 2,532. Determine the maximum deflecti...

The magnitude of βL for the beam in Problem 10.44 is 2,532. Determine the maximum deflection and maximum flexural stress in the beam if the load is moved to one end of the beam. Use linear interpolation with the curves in Figure 10.10.

FIGURE 10.10

Problem 10.44

A steel I-beam (E = 200 GPa) has a length of L = 3.00 m, depth of 305 mm, flange width of 129 mm, and moment of inertia Ix = 95.3 × 106 mm4. The beam rests on a hard rubber elastic foundation whose spring constant is k0 = 0.300 N/mm3. If the beam is subjected to a concentrated load P = 270 kN at its center, determine the maximum deflection and maximum flexural stress in the beam.