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9.18 Two solid cylindrical rods are joined at B and loaded as shown AB is made of steel (E = 200 GPa)
and rod BC of brass (E = 1 GPa). Determine (a) the total deformation of the composite rod ARC (b)
the deflection of point B.
P = 30 KN + 30 mm 250 mm 40 KN 300 mm -50 mm Fig. P9.18
Engineering Mechanical Engineering
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The given Rod is 1 PORN TAN 250 m som som +8 A = 1787 = 17(257² = 1962.5
mm² Az = 1787 = 11 (15) ² = 706.5 mm² E = 105 GPa = 105X16² MPa of Morm E200 x 183 comen? 4 =300mm 2= 250mm Uk 50mm 3com Now Analysis of
interned forces 30k Bt A Pp-30=0 {Fy=0 Pe-40-30=0 Pe=10 kN =P; : P2 = 30 kN
= P₂0
Now we know a) Total deformation of composite rod is S- 1 PIE 10x300 30x250]
1962.5x105X163 706.5x200x133 JAE, ALE S = 6.75X165 mm (ANS) b) Deformation
at point B. So =PB L2 - 30x250 A₂ 706.5x200x103 Se = 5.30x109 mm - 5.30 x fans)
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