Two identical 10 mm diameter A36 steel wires support the rigid beam shown. Determine the maximum load P that can be applied if a Factor of Safety of 2.0 is required. See the text Appendix for any material properties that are needed. D E 4 m +2m 2 m -3 m

Two identical 10 mm diameter A36 steel wires support the rigid beam shown. Determine the maximum load P that can be applied if a Factor of Safety of 2.0 is required. See the text Appendix for any material properties that are needed. D E 4 m +2m 2 m -3 m

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.6.4P

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Question

Two identical 10 mm diameter A36 steel wires support the rigid beam shown. Determine the maximum
load P that can be applied if a Factor of Safety of 2.0 is required. See the text Appendix for any material
properties that are needed.
E
4 m
A
-3 m
2 m

Expert Solution

Step 1-Use the deflection equation of body

Given: F.O.S=2

$A s w e k n o w t h e d e f l e c t i o n i n t h e b o d y : δ = \frac{P L}{A E} C o n s i d e r t h e d e f l e c t i o n a n d l e n g t h o f s e c t i o n : \frac{δ_{B}}{3} = \frac{δ_{C}}{7} \frac{1}{3} \times \frac{P_{B} L}{AE} = \frac{1}{7} \times \frac{P_{C} L}{AE} \frac{1}{3} \times \frac{P_{B} L}{AE} = \frac{1}{7} \times \frac{P_{C} L}{AE} 7 P_{B} = 3 P_{C}$

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