Solucion tutoria 3 2017

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Problem 1: The rigid bar CDE, shown in Figure, is horizontal before de load P is applied. Tie rod A is a hot-rolled steel (E=200GPa) bar with a length of 450 mm and a cross-sectional area of 300 mm2. Post B is an oak timber (E=12GPa) with a length of 375mm and a cross-sectional area of 4500mm2. After the 225-kN load P is applied, determine. a) The normal stresses in bar A and post B b) The shearing stress in the 20-mm-diameter pin at C, which is in double shear c)The vertical displacement of point D P=225000 N C D E A B Fcx Fcy FD FD FE FD FE FE Rigido 500 mm 850 mm 1350 mm Analisis sobre la barra rigida CDE

Transcript of Solucion tutoria 3 2017

Page 1: Solucion tutoria 3 2017

Problem 1:The rigid bar CDE, shown in Figure, is horizontal before de load P is applied. Tie rod A is a hot-rolled steel (E=200GPa) bar with a length of 450 mm and a cross-sectional area of 300 mm2. Post B is an oak timber (E=12GPa) with a length of 375mm and a cross-sectional area of 4500mm2. After the 225-kN load P is applied, determine. a) The normal stresses in bar A and post B b) The shearing stress in the 20-mm-diameter pin at C, which is in double shear c)The vertical displacement of point D

P=225000 N

C D E

A

B

Fcx

Fcy

FD

FD

FE

FD

FE

FE

Rigido

500 mm 850 mm

1350 mm

Analisis sobre labarra rigida CDE

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SsteelST

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Problem 2:A ½-in-diameter alloy-steel (E=30,000 ksi) bolt passes through a cold-rolled brass (E=15,000 ksi) sleeve as shown in Figure. The cross-sectional area of the sleeve is 0.375 in2. Determine the normal stresses in the bolt and sleeves by tightening the nut ¼ turn (0.020in) 6 in

0.02 in

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A circular brass bar of diameter d is member AC in truss ABC which has load P _ 5000 lb applied at joint C. Bar AC is composed of two segments brazed together on a plane pq making an angle _ 36° with the axis of the bar (see �gure). The allowable stresses in the brass are 13,500 psi in tension and 6500 psi in shear. On the brazed joint, the allowable stresses are 6000 psi in tension and 3000 psi in shear. a)What is the tensile force NAC in bar AC? b)What is the minimum required diameter dmin of bar AC?

FAX

FAX

FAY

FAY

FA

FA

FAXFAY

P

BY

BX

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FAX

FAYFA

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d

FA

Fn

Fc

A A’

36°

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