Problem 3 The cantilevered handle in figure is made from mild steel. Let Fy= 250 lbf and Fx = F₂ = 0. Using Castigliano's theorem, determine the vertical deflection (along the y axis) at the tip. Repeat the problem with shaft OC simplified to a uniform diameter of 1 in for its entire length. What is the percent error from this simplification? 2 in 1-in dia. -in R. D 9 in 1-in dia. -in dia. B 2 in 1-in dia. 12 in
Problem 3 The cantilevered handle in figure is made from mild steel. Let Fy= 250 lbf and Fx = F₂ = 0. Using Castigliano's theorem, determine the vertical deflection (along the y axis) at the tip. Repeat the problem with shaft OC simplified to a uniform diameter of 1 in for its entire length. What is the percent error from this simplification? 2 in 1-in dia. -in R. D 9 in 1-in dia. -in dia. B 2 in 1-in dia. 12 in
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.10P: Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the...
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Step 1: Evaluate the equivalent force-moment system at point C due to applied loads at D.
VIEWStep 2: Apply dummy load at point C.
VIEWStep 3: Apply Castigliano's theorem for deflection at C.
VIEWStep 4: Evaluate deflection for simplified shaft.
VIEWStep 5: Evaluate percent error in deflection for simplified shaft.
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