16-3.Concentrated load of support beams at both ends
16-3.Concentrated load of support beams at both ends
Symbol description and unit
Maximum deflection：(mm)
δmax=1/(9*3
0.5
)*W*L
2
*(L
2
-L
2
2
)
1.5
/(E*I*L)
δmax=
Maximum deflection angle：( Every time)
Ｉ max(x=0)=1/6 *W*L
2
*(L
2
-L
2
2
)*180/(E*I*L*π)
Ｉmax(x=0)=
Ｉmax(x=L)=1/6 *W*L
1
*(L
2
-L
1
2
)*180/(E*I*L*π)
Ｉmax(x=L)=
Maximum stress：(Kg/mm
2
)
σmax=Mmax/Z=W*L
1
*L
2
/(L*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)
Reference: "Machine Design Handbook for Engineers" (Revised version by Saburo Kano) Applied Structural Mechanics Beam Calculation Table, page 141, refer to beams and columns.