16-8.Concentrated load of fixed beams at both ends
16-8. Concentrated load of fixed beams at both ends
Symbol description and unit
Maximum deflection： (mm)
δmax =2/3*W*L
1
3
*L
2
2
/(E*I*(3*L
1
+L
2
）
2
)
δmax =
Maximum deflection angle： ( Every time)
Ｉ max(x=L
1
) =1/2*W*L
1
2
*L
2
2
*(L
2
-L
1
)*180/(E*I*L
3
*π)
Ｉ max(x=L
1
) =
Maximum stress： (Kg/mm
2
)
σmax(x=0) =Mmax/Z=W*L
1
*L
2
2
/(L
2
*Z)
σmax(x=0) =
σmax(x=L
1
) =Mmax/Z=2*W*L
1
2
*L
2
2
/(L
3
*Z)
σmax(x=L
1
) =
E： Young's modulus(Kg/mm
2
)
Steel:21000、 Stainless steel:19000
Aluminum:7000、 cast iron:10000
I： Moment of inertia of area (mm
4
)
Z： Moment of inertia (mm
3
)
Ｗ： Load B (Kg)
L： Beam length (mm)
L
1
： Beam length to load position (mm)
L
2
： Beam length to load position (mm)
Reference: "Machine Design Handbook for Engineers" (Revised version by Saburo Kano) Applied Structural Mechanics Beam Calculation Table, page 145, refer to beams and columns.