lb ( psi)( in ) (29 10 psi)(5.9641in ) E (29 10 psi)( ) psi
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1 P POBLM ft 18 in. 1 The.5-ft concrete pot i reinforced with ix teel bar, each with a 1 -in. diameter. 8 Knowing that 2 10 pi and c =.2 10 pi, determine the normal tree in the teel and in the concrete when a 50-kip axial centric force P i applied to the pot. Let Pc portion of axial force carried by concrete. P portion carried by the ix teel rod. PL PL P c c c c c c L P L P Pc P ( cc ) L P L c c d (1.125in.) 5.1in d c c (18 in.) 5.1 in 28.51in L.5 ft 5 in lb (.210 pi)(28.51 in ) (210 pi)(5.1in ) (2 10 pi)( ) pi 8. ki (.210 pi)( ) pi c ki c c POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 128
2 POBLM in. kip 1.25 in. kip B polytyrene rod coniting of two cylindrical portion B and B i retrained at both end and upport two -kip load a hown. Knowing that pi, determine (a) the reaction at and, (b) the normal tre in each portion of the rod. 15 in. 2 in. (a) We expre that the elongation of the rod i zero. P L P L 0 B B B B 2 2 d B d B From the free body diagram, But PB PB Subtituting and implifying, L L 0 B B 2 2 db db Subtituting (1) into (2), LB db LB db.27 (1) 12 kip (2) kip 2.28 kip From (1),.27(2.2785).7217 kip PB (b) B 2 (1.25) B B B.72 kip ki PB ki 2 B (2) B B B POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 12
3 Dimenion in mm D Steel B Bra 0 kn 0 kn POBLM 2.1 Two cylindrical rod, one of teel and the other of bra, are joined at and retrained by rigid upport at and. For the loading hown and knowing that 200 GPa and b 105 GPa, determine (a) the reaction at and, (b) the deflection of point. 0-mm diam. 0-mm diam. to : to : Pa (0) mm m N Pa (0) 70.8 mm m N to B: B to : P L 180 mm m B PL (0.180) P 0 10 L 120 mm m B PL ( 010 )(0.120) POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 1
4 POBLM 2.1 (ontinued) to D: D to : to : P 0 10 L 100 mm m B PL ( 010 )(0.100) P L 100 mm m D PL ( )(0.100) B B D D Since point cannot move relative to, 0 (a) N 2.8 kn N 7.2 kn (b) B B ( )( ) m. m POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 15
5 Dimenion in mm D Steel B Bra 0 kn 0 kn 0-mm diam. 0-mm diam. POBLM 2.2 Solve Prob. 2.1, auming that rod i made of bra and rod i made of teel. POBLM 2.1 Two cylindrical rod, one of teel and the other of bra, are joined at and retrained by rigid upport at and. For the loading hown and knowing that 200 GPa and b 105 GPa, determine (a) the reaction at and, (b) the deflection of point. to : to : to B: B to : to D: Pa (0) mm m N Pa (0) 70.8 mm m N P L 180 mm m B PL (0.180) P 0 10 L 120 mm m B PL ( 010 )(0.120) P 0 10 L 100 mm m D PL ( 010 )(0.100) POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 1
6 POBLM 2.2 (ontinued) D to : to : P L 100 mm m D PL ( )(0.100) B B D D Since point cannot move relative to, 0 (a) N 5.5 kn kn (b) B B ( )(5.710 ) m 8.8m POPITY MTIL. opyright 2015 McGraw-Hill ducation. Thi i proprietary material olely for authorized intructor ue. Not authorized for ale or ditribution in any manner. Thi document may not be copied, canned, duplicated, forwarded, ditributed, or poted on a webite, in whole or part. 17
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