aqaMB?qa??FCy?2a?0 FCy??1kN
24FCx?0
(2)以整体为研究对象
?Fx?FCx?FAx?0 FAx?0
7qa?7kN 4?Fy?FCy?FAy?2qa?0 FAy??M?M
A?2qa?2a?M?FCy?4a?0 MA??20kN?m
8.桁架结构如图所示,杆AB为圆截面钢杆,杆BC为方截面木杆,已知载荷F=50kN,钢的许用应力[σs]=160MPa,木的许用应力[σw]=10MPa,试确定钢杆的直径d与木杆截面的边宽b。 答案:
解:(1)计算杆AB和杆BC的内力
0.8 l C A l ?0.6 l B F
FABsin??F?0 FAB?F?62.5kN sin?FABcos??FBC?0 FBC??FABcos???37.5kN
(2)确定钢杆的直径d与木杆截面的边宽b ?s?FAB62.5kN?462.5kN?4??? d??22.31mm ??sAAB?d2???s??w?
FBC37.5kN37.5kN???b??61.24mm ??wABCb2??w? 26