Question: Prove that for a uniform cross section beam
Prove that for a uniform-cross-section beam with simple supports at the ends loaded by a single concentrated load, the location of the maximum deflection will never be outside the range of 0.423l ≤ x ≤ 0.577l regardless of the location of the load along the beam. The importance of this is that you can always get a quick estimate of ymax by using x = l/2.
Relevant QuestionsSolve Prob. 4–12 using singularity functions. Use statics to determine the reactions.Solve Prob. 4–30 using singularity functions. Use statics to determine the reactions.Find the range of resistance for the following resistors: a) 1 k ohms with a tolerance of 5%. b) 470 ohms with a tolerance of 2%. c) 22 ohms with a tolerance of 10%.A cable is made using a 16-gauge (0.0625-in) steel wire and three strands of 12-gauge (0.0801-in) copper wire. Find the stress in each wire if the cable is subjected to a tension of 250 lbf.The steel shaft shown in the figure is subjected to a torque of 50 lbf-in applied at point A. Find the torque reactions at O and B
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