
發表於 :
2009 11月 10 (週二) 12:58 pm
#2 由 laimaddux31
(a)
設座標`r_1=theta_(xa)(rarr),r_2=theta_(za)(uarr),r_3=V_a(darr)`
ac桿矩陣`[k^(ac)]_(3X3)=[((EI)/L+(3GJ)/(4L),-(sqrt(3)EI)/L+(sqrt(3)GJ)/(4L),(3EI)/(L^2)),(-(sqrt(3)EI)/L+(sqrt(3)GJ)/(4L),(3EI)/L+(GJ)/(4L),(-3sqrt(3)EI)/(L^2)),((3EI)/(L^2),-(3sqrt(3)EI)/(L^2),(24EI)/(L^3))]`
(b)
`[(R_1),(R_2),(R_3)]=[((w*L^2)/24),(-(sqrt(3)*w*L^2)/(24)),(P+(3*W*L)/8)]`
(C)
`[K]=[(((4EI)/L+(GJ)/L),0,(3EI)/(L^2)),(0,((4+2sqrt(3))(EI)/L+(GJ)/(2L)),(-3(2+sqrt(3))EI)/(L^2)),((3EI)/(L^2),(-3(2+sqrt(3))EI)/(L^2),((24EI)/(L^3)+(12K)/(13)))]`