A cantilevered prismatic beam (ABC) has a concentrated moment 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 650.0 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, 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 moment M, is 2,750.0 N.m; The length of the beam L, is 1,400.0 mm; The side length of the beam, a, is 60.0 mm The length of the cable, Lc, is 650.0 mm. The diameter of the cable, d, is 6.0 mm. The elastic modulus, E, is 200.0 GPa.
A cantilevered prismatic beam (ABC) has a concentrated moment 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 650.0 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, 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 moment M, is 2,750.0 N.m;
The length of the beam L, is 1,400.0 mm;
The side length of the beam, a, is 60.0 mm
The length of the cable, Lc, is 650.0 mm.
The diameter of the cable, d, is 6.0 mm.
The elastic modulus, E, is 200.0 GPa.
Step by step
Solved in 3 steps with 23 images
