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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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
y
1-in dia.
-in R.
9 in
1-in dia.
-in dia.
12 in
B
2 in
1/-in dia.

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Step 1: Evaluate the equivalent force-moment system at point C due to applied loads at D.

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Step 2: Apply dummy load at point C.

VIEW

Step 3: Apply Castigliano's theorem for deflection at C.

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Step 4: Evaluate deflection for simplified shaft.

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Step 5: Evaluate percent error in deflection for simplified shaft.

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