Steel Design (Activate Learning with these NEW titles from Engineering!)
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 4, Problem 4.9.3P
To determine

Radius of gyration

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The rigid beam embedded in the Figure is fixed at the top by two posts, one in AISI 4340 steel (dext = 40mm) and the other in 6063-T6 aluminum. If it is desired that the beam appears horizontal after applying a homogeneously distributed load of 400 kN/m; Determine the diameter of the aluminum pole that felt this condition. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σFe) in the posts. Calculate the factors of safety. Use EFe = 200 Gpa , and Eal = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa) (answer :dAl = 67.6 mm δAl  =  -0.40 mm ;  δFe = -0.40 mm σAl  =  -55.7 Mpa ; σFe = -159 Mpa ; FSAL = 3.8  FSFE = 4.9)
The W8 * 48 cantilevered beam is made of A-36 steel and is subjected to the loading shown. Determine the displacement at C and the slope at A. (Use the principle of supperposition and Appendix C to answer this question). Ix = 184 in4 . E=29000 ksi.
A simply supported beam is loaded as shown. Use E = 200,000MPa and I=150 x 106 mm4. a)Compute for the value of C1 in the equation of the slope for the first segment. b)Compute for the deflection at C. c)Compute for the value of C3 (constant of the 1st integration) in the equation of the slope for the 2nd segment. d)Compute for the value of C4 (constant of the 2nd integration) in the equation of the deflection for the 2nd segment. e)Compute for the slope at support A & B.
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