Explanation Given Information: The length of the column, L = 11.5 ft The allowable load, P = 80 k The value of the young modulus, E = 29000 ksi The value of maximum stress, s y = 42 ksi The thickness of the steel pipe, t = .30 in. here d is the outside diameter of the steel pipe. Concept Used: d i = d − 2 ( t ) A = π 4 ( d o 2 − d i 2 ) I = π 64 ( d o 4 − d i 4 ) r = I A L c = critical length of column in ft. Then we choose different diameters d and calculate till the value of P a l l o w =P i = 1 , 2...4 n 1 i = N A i if K L i r > K L c r & n 1 i = 5 3 + 3 ( K L i r ) 8 ( K L c r ) − ( K L i r ) 3 8 ( K L c r ) 3 i f K L i r ≤ K L c r n 2 i = 23 12 if K L i r > K L c r & n 2 i = N A if K L i r ≤ K L c r σ a l l o w = σ y [ 1 n 1 i ( 1 − ( K L i r ) 2 2 ( K L c r ) 2 ) ] i f K L i r ≤ K L c r σ a l l o w = σ y [ ( K L c r ) 2 2 n 2 i ( K L i r ) 2 ] i f K L i r > K L c r P a l l o w = σ a l l o w × A Calculation: d i = d − 2 ( t ) A = π 4 ( d 2 − ( d − .6 ) 2 ) Here, t = .30 i n . I = π 64 ( d 4 − ( ( d − 2 ( .30 ) ) 4 ) = π 64 ( d 4 − ( d − .6 ) 4 ) r = π 64 ( d 4 − ( d − .6 ) 4 ) π 4 ( d 2 − ( d − .6 ) 2 ) K L c / r = 2 π 2 29000 42 = 116

Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card

9th Edition

ISBN: 9781337594301

Author: Barry J. Goodno, James M. Gere

Publisher: Cengage Learning

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Chapter 11, Problem 11.9.19P

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180- Dimensions in mm 100 100 D E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. PROBLEM 2.40 Solve Prob. 2.39, assuming that rod AC is made of brass and rod CE is made of steel. PROBLEM 2.39 Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E = 200 GPa and E, 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C. = R = 45.5 kN ← A

Dimensions in mm 100 100 -180- -120-+- C D Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. E PROBLEM 2.39 Two cylindrical rods, one of steel and the other of brass, are joined at Cand restrained by rigid supports at A and E. For the loading shown and knowing that E = 200 GPa and E₁ = 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C.

(read image) (Answer: vE = 0.514 m/s)

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Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 2 Terms (12 Months) Printed Access Card

Ch. 11 - A rigid bar of length L is supported by a linear...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - -2-3. Two rigid bars are connected with a...Ch. 11 - Repeat Problem 11.2-3 assuming that R= 10 kN ·...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - An idealized column consists of rigid bar ABCD...Ch. 11 - An idealized column is made up of rigid segments...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - The figure shows an idealized structure consisting...Ch. 11 - The figure shows an idealized structure consisting...

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