16-5. Concentrated load on both ends of double-point support beam
16-5. Concentrated load on both ends of double-point support beam
Symbol description and unit
Maximum deflection： (mm)
δmax =1/24 *W*L
1
*L
2
*(3-4*L
1
2
/L
2
)/(E*I)
δmax =
Maximum deflection angle： (Every time)
Ｉ max(x=0) =1/2 *W*L
1
*(L
1
+L
2
)*180 /(E*I*π)
Ｉ max(x=0) =
Ｉ max(x=L
1
) =1/2 *W*L
1
*L
2
*180 /(E*I*π)
Ｉ max(x=L
1
) =
Maximum stress： (Kg/mm
2
)
σmax =Mmax/Z=W*L
1
/Z
σmax =
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)
three References: "Machine Design Handbook for Engineers" (Revised version by Saburo Kano) Applied Structural Mechanics Beam Calculation Table, page 142, refer to beams and columns.