(Solved): A cantilevered prismatic beam \( (\mathrm{ABC}) \) has a concentrated load applied at the mid span ...

A cantilevered prismatic beam \( (\mathrm{ABC}) \) has a concentrated load applied at the mid span (B). The beam has a square cross-section of side length, a. The left hand side (A) is a fixed support. A cable of length \( 950.0 \) is used to support the right hand side of the beam (C). The support at the top of the cable (D) can be considered a pinned support. You are tasked with calculating the magnitude of the reaction force at Point \( D \). Both the cable and the beam are fabricated from the same material and have an elastic modulus, \( \mathrm{E} \), of \( 200.0 \) GPa. The deflection of the cable is non-zero and needs to be accounted for when calculating the reaction force. The applied forced \( \mathrm{P} \), is \( 6,250.0 \mathrm{~N} \); The length of the beam \( L \), is \( 1,050.0 \mathrm{~mm} \); The side length of the beam, a, is \( 60.0 \mathrm{~mm} \) The length of the cable, Lc, is \( 950.0 \mathrm{~mm} \). The diameter of the cable, \( \mathrm{d} \), is \( 2.5 \mathrm{~mm} \). The elastic modulus, E, is \( 200.0 \mathrm{GPa} \).