16-9.Fixed at one end Support beam at the other end Concentrated load
16-9. Fixed at one end Support beam at the other end Concentrated load
Symbol description and unit
Maximum deflection： (mm)
δmax(x=L
1
)=1/12*W*L
1
2
*L
2
3
*(4*L
1
+3*L
2
)/(E*I*L
3
)
δmax(x=L
1
)=
Maximum deflection angle： ( Every time)
I max(x=L
1
) =1/4*W*L
1
*L
2
2
*(L
2
-3*L
1
2
+2*L
1
*L
2
)*180/(E*I*L
3
*π)
I max(x=L
1
)=
Maximum stress： (Kg/mm
2
)
σmax(x=L
1
)=Mmax/Z=1/2*W*L
1
*L
2
2
*(3*L
1
+2*L
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.