The rigid bar AB is supported by a pin at B and by two the cables...
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The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam) and AD (inclined with respect to the beam) attached at A as shown in Fig. 3. A C 30 in D B 80 in stress, o (MPa) 600 500 400 300 200 100 0 0.00125, 250 0,0 0.02 0.04 strain, & (mm/mm) 0.05, 600 Figure 3. Rigid bar supported by cables and stress-strain curve for the cables. If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, and both cables have a diameter of 5 mm, find: a) The normal strain for both wires using both the small angle approximation and exact geometrical analysis (no approximations of any kind). Is the approximation better for one cable than for the other? b) The load P needed to produce the rotation if the cables have the stress-strain curve shown, where points defining the two lines of the bilinear o-ɛ relationship are provided. Use the strains from the exact analysis in your calculation. The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam) and AD (inclined with respect to the beam) attached at A as shown in Fig. 3. A C 30 in D B 80 in stress, o (MPa) 600 500 400 300 200 100 0 0.00125, 250 0,0 0.02 0.04 strain, & (mm/mm) 0.05, 600 Figure 3. Rigid bar supported by cables and stress-strain curve for the cables. If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, and both cables have a diameter of 5 mm, find: a) The normal strain for both wires using both the small angle approximation and exact geometrical analysis (no approximations of any kind). Is the approximation better for one cable than for the other? b) The load P needed to produce the rotation if the cables have the stress-strain curve shown, where points defining the two lines of the bilinear o-ɛ relationship are provided. Use the strains from the exact analysis in your calculation.
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