Question

The beam ABC rests on simple supports at points A and Band is supported by a cable at point C (figure a). The beam has total length 2L and supports

a uniform load of intensity q. Prior to the application of the load, there is no force in the cable nor is there any slack in the cable. When the uniform load is applied, the beam deflects downward at point C and a tensile force T develops in the cable (figure b).Find the magnitude of this force. Find your solution based on Young's modulus of cable Ec, cross section area of cable Ac, length of the cable h, Young's modulus of the beam Ep, moment of inertia of beam Ip,L , and q.

Fig: 1

Fig: 2