静定结构弯矩图百题练习

静定结构弯矩图百题练习 (15)(14)(13) (12)(11)(10) (9)(8)(7) (6)(5)(4) (3)(2)(1) 一、梁 L/ 2 L/4L/4 q L q L q L 2M=qL P=qL L q L q L P=qL M=PL2P LL q L P=qLM LL q L L L L 2PP L LL q L P LL P P=2qL L q L PL2PL P LLL/2 2M=qLq L q L L (22)(21) (20)(19) 二、悬臂式刚架 (18) (17)(16) P P L L L/ 2 L/2L/2 L / 2 030 P L L 2M=qaP=qa P=2qa qq 4a2aaa2a2aa3a M=2qaq a2aa2m2m2m 1560q=10 2m M=PL (28)(27) (26)(25) (24) (23) q q 2a a a a / 2 q qa a / 2 a q qa a a P L 2 L L L L P 2 L L L P P a a a 2PL qa2 2m 2m 2m (34) (33) (32)(31) (30)(29) q qa a a a a L q L L/ 2 L/ 2 q L 3m 30kN 20kN/m 3 m 3m 3m 40kN 10kN/m P=40kN 2m 2 m 2 m a P aa (40) (39) (38) (37) L (36)(35) 三、简支式刚架 a a qq 2a qa2 a 2qa a q a a q q/2 a/2 qa a a a/2 P L PP aa a /2 a qa2 (46) (45) (44) (43) (42)(41) 3m 4m 4m q qL q L L L 40kN 10kN/m 3 m 3m3m 3m 3m a a a 2a qa q a a 2a 2M=qa q a/ 2 a/ 2 a 4Pa (48)(47) PP L 2L L q LL q (49) q q q q a/2 a/2 a a (52) (53) (50) (51) a a a a M a a 2a P P L LL 1. 5 L L L L q L (58)(57) L/2 L/2 L/2 L/2 四、三铰式刚架 (56) L M 50kN 0.5m 4m 50kN 0.5m 4 m 2m L/2 L P (55) 3 a 3a2a (54) qa q q=20kN/m a a/2a/2 a/ 2 a /2P M M L L P a a 2a q 1 .5 a a a M a a 1. 5a q a a 1 .5 a M a a 1 .5 a q aa a a q 2 qa (59) (60) (61) (62) (63) (64) (65) (66) L/ 2 (70) L/2 L/2 2q (68) 2m 2m L /2 q 2 m 2 m a (71) a a 2m a (69) 2m 12kN 3m 3m 1. 5 m 5m3m 3m 1. 5m 1. 5m 60kN a/2 (67) a a q a/2 2 a 五、复杂刚架 a L q P a a/ 2 a/ 2 a (76) a q qa (77) 2a 2 a 2a q L L (74) L a /2 (72) a P L/2 (75) q L/2 L/ 2 (73) a a a P a qa 2 q (79) 4m P q=10kN/m 2m (82) 2m2m 2m 4m 2kN 2a a (80) a 2a qa q a a (78) a a a a a a a (81) a a a P qa a a2a (86) aaa a 2 a P (84) 4X3m=12m 5kN5kN 5kN 2m (83) 2m a a 8 m 3 m a/2 (85) a/2 qa 1 m 1 m 2m 2m 10kN q=4kN/m q (87) 2m 1. 5m P 2m 4m 2 2 4m (88) P 2m 2m 2m 2m 2m P 2m 2m 2m 20kN 10kN/m10kN/m 2m (90) 2m 20kN/m 4m (89) 4m 2m 40kN 2m2m 2m 10kN/m 2m 2m m40kN 20kN 10kN/m a (95) a aa aa a a (94) (93) 2m a a a a P 4m 2m a 4m P 4 m L (91) L L q L (92) L 0 0 30 30 P L /2 L /2 P M a (100) a a a (98) 1 0k N /m 2m 2m2m L m100kN 50kN 2m 2 m 20kN 2m (96) 2m 60kNm 2m 2 m 60kN 2m m 2 m a 2 a 10kN/m a / 2 a /2 L (99) L L P L a (97) a a P M 静定结构弯矩图百题练习 答案 八年级地理上册填图题岩土工程勘察试题省略号的作用及举例应急救援安全知识车间5s试题及答案 2 2qL 8 qL2 2 2qL qL2 4 8 2qL 2qL 8 PL 4 2qL 2 qL /8 L q M=qL 2 L/2 L L P2PL PL L q L P=2qL P L L P L q L LL P 2P L LLL q L L M P=qL L q L L 2P M=PL P=qL L q L q L P=qL M=qL2 L q L q L q L/4 L/4 L/ 2 一、梁 (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) 2PL 9qL2 2 PL 3 4pL 5pL 3 qL2 2 M 2 qL2 qL 2 2 + pL pL 2 2qL 2 25qL 3qL 2 2 2 2qL qL2 8 8 2qL 5qL2 32 32 25qL 8 qL2 qa2 2 3qa2 28 2qa 8 29qa PL 2 2 3PL 3PL3PL 2 PL 2 2 PL PL 2m q=10 60 15 2m 2m 2m a 2a a q M=2qa 3a a 2a 2a a a 2a 4a q qP=2qaP=qa M=qa2 L M=PL L P 300 L/ 2 L/2 L/2 L /2 L L P P (16) (17) (18) 二、悬臂式刚架 (19) (20) (21) 30 55 5 20 2 2qa PL 2 PL 22qa 4qa2 28qa 16qa2 15qa2 17qa2 2 q L (22) 2 2qL qa2 qa2 2 2 2qa 2 2qa 2qa 3PL 2PL PL 3PL Pa Pa (28)(27) (26)(25) (24) (23) q q 2a a a a /2 q qa qa a/ 2 a q qa a a 2PL P L 2 L L L L P 2L L L P P a a a 2Pa qa /82 2qa /2 qa2 2qa 2qa 2qa /8 2qa PL 2 2 2qa qa2 2 2qa2cosα 2qL 2 + 2 qL2 2cosα qL2 qL2 2 2 2qL 90 90 100 80 60 100 100 Pa Pa 2m 2m 2m (34) (33) (32)(31) (30)(29) q qa a a a a L q L L /2 L /2 q L 3m 30kN 20kN/m 3 m 3m 3m 40kN 10kN/m P=40kN 2m 2m 2m a P aa 4 15qa2 21qa2 8 2 2qa 2 2qa qa2qa2 2qa2qa 2 PL PL Pa 2 2 Pa 2Pa Pa (40) (39) (38) (37) L (36)(35) 三、简支式刚架 a a qq 2a qa2 a 2qa a 2qa q a a q q/2 a/2 qa a a a/2 P L PP aa a/ 2 a 2 Pa 2 Pa qa2 27qa 4 (46) 2.595q 7qL2 4 qL2 4 2 23qL 345 45 390 480 690 690 4Pa 3 3 4Pa 4Pa 2qa 2 25qaqa2 2 qa2 2 qa2 2 (45) (44) (43) (42)(41) 3 m 4 m 4m q qL q L L L 40kN 10kN/m 3m 3m3m 3 m 3m 4Pa a a a 2a qa q a a 2a 2M=qa q a /2 a / 2 a 3qa2 2 PL PL 2qL qL2 2 (48)(47) PP L 2L L q LL 8 5qa2 2qa 8 2qa 8 8 qa2 2qa 8 qq q 8 qa2 25qa 8 q q (49) M M 2 Pa 2 PP 2 无弯矩 N=P/2 22qL2qL2 (52) (53) (50) (51) a a a a M a a 2a P P L LL 1 .5 L L L L q L M Pa 2 PL M M/2 M/2 M/2 25kN.m25kN.m Pa/2 5qa/2 9qa/2 (58)(57) (56) (55) (54) L L/2 L/2 P L/2L/2 L M L/2 q=20kN/m 50kN50kN 0.5m0.5m 2m 4m 4m a/ 2 a/2 P a/ 2 a/2a 3a 3a2a qqa 2qa Pa/2 65kN.m 25kN.m 25kN.m PL PL PL 四、三铰式刚架 22qa/3 2qa 2qa/2 PL (65) (64) (63) (62) (61) (60) (59) q a a a a q 1. 5a aa M 1. 5a aa q 1 .5 a aaaa 1 .5 a q 2a aa P L L qa/22 qa/222qa/2 M M M M qa2 qa2/8 MM MM /82qaqa2/8 2qa/32 2qa/32 22qa/3 qa/2 2 PL 2 M M M qa M/4 3M/4 M/2 M/2 M/2 M/2 36kN.m 36kN.m 2q 2q 对称 23qa/8 2qa/8 2qa/2 100kN.m 200kN.m 300kN.m 300kN.m 3 m 1. 5 m 1 .5 m (71) (70) (69) (68) (67) (66) a a a a L/ 2 L/2 L /2 L/2 3m 2m 3 m 12kN 2m q 2q 2 m 2m2m 2m q a/2a/2 a 2a a 1 . 5m 5m3m 60kN 100kN.m qa/22 qa/82 3qa/82 M/2 M/2 M/2 q q 2q 2q 2qa 22qa 2qa 2qL/2 Pa Pa/4 Pa/4 (77)(76) (75) (74) (73) (72) 五、复杂刚架 q a 2 a 2a q a/ 2 a aa q L/2 L /2 L/2 q L L LL aa a P a P P a/ 2 a/ 2 aa Pa Pa qL/82 2qL/32 2qa/8 qa/22 2 qa qa 2 2qa /8 2qa Fpa/2 Pa aa a a Fp a a a a q qa a 2a 2 a a qa q a a a a a P 2kN q=10kN/m 2m2m2m 2m 4m 4 m (78) (79) (80) (81) (82) Fpa/2 对称 qa2 22qa 2qa/2 3qa 2 4Pa6Pa 4P -8Pa 12kN.m 4kN.m 8kN.m 80kN.m 24kN.m 56kN.m Pa 4Pa Pa 2Pa 2qa2 qa/2 2 qa/4 2 20kN.m 8kN.m (86) (85) (83) 2m2m 2 a a aaaa2a P q a/2 a qa a a/2 10kN 1m q=4kN/m 1 m 2m2m 21.82kN.m21.82kN.m (84) 5kN5kN 5kN 4X3m=12m 3 m 8 m -3.536kN 2.27kN 2.27kN -5kN -10kN 10 .6 1k N 2.27kN2.27kN -5kN10.61kN -3 .5 36 kN -10kN P/2 P P P/2 80kN.m P 3P 80kN.m 100kN.m 60kN.m 30kN.m 70kN.m 10kN.m40kN.m 30kN.m 2m2m2m 2m2m2m2m2m2m 2m (90) (89) (88) (87) P 2m2m2m2m 1. 5 m 20kN/m 40kN 2m2m4m 4 m 2 2 P P 2m 4m 4 m 2m 10kN/m m40kN 20kN20kN 10kN/m10kN/m10kN/m 20kN.m 20kN.m 40kN.m 80kN.m 80kN.m 2P M Pa/2Pa/2Pa/2 Pa/2 Pa/2 Pa/2 4P 4P PL/2 2qL/2 2 3qL/2 (95) (94) (93) (92) (91) a aaaaaa a P a aa a a P 2m 4m 4m2m4m 0 30 0 30 PP L/ 2 L/ 2 L L q L LL MM M 4P 4P 4P 4P 4P PL/2 M 20kN.m 20kN.m 40kN.m 20kN.m 60kN.m 100kN.m M -2P6P 4P 2PL 3PL PL 2Pa 2 m (100) (99) (98) (97) (96) aaa a/ 2 a/ 2 a P LLL L L 10 k N/ m 2m m 2m50kN 100kN 2m 2m2m P aa a 2a a 60kNm m60kN 10kN/m 20kN 2m 2m 2m 2m2m M 5k N. m 5k N .m 4PL 2Pa