2. the deflection under no-load q is 5 * Q * L 4/(384EI).
3. Under various loads, a unified mid-span deflection formula can be approximately obtained by using the mid-span bending moment m: 0. 1 * m * l 2/(ei). You can check the above two formulas yourself.
Calculation formula of maximum deflection of simply supported beam under various loads;
The maximum deflection under uniformly distributed load is in the middle of the beam, and its calculation formula is:
Ymax = 5ql^4/(384EI).
Where: Ymax is the maximum deflection of beam span (mm).
Q is the standard value of uniformly distributed load (kn/m).
E is the elastic modulus of steel, and for engineering structural steel, E = 2 100000 N/mm 2.
I is the moment of inertia of section steel, which can be found in the section steel table (mm^4).
The maximum deflection under the action of concentrated load in the midspan is in the midspan of the beam, and its calculation formula is:
ymax = 8pl^3/(384ei)= 1pl^3/(48ei).
Where: Ymax is the maximum deflection of beam span (mm).
P is the sum of the standard values of each concentrated load (kn).
E is the elastic modulus of steel, and for engineering structural steel, E = 2 100000 N/mm 2.
I is the moment of inertia of section steel, which can be found in the section steel table (mm^4).
The maximum deflection under the action of two equal concentrated loads arranged at equal intervals between spans is in the middle of the beam, and its calculation formula is:
Ymax = 6.8 1pl^3/(384EI).
Where: Ymax is the maximum deflection of beam span (mm).
P is the sum of the standard values of each concentrated load (kn).
E is the elastic modulus of steel, and for engineering structural steel, E = 2 100000 N/mm 2.
I is the moment of inertia of section steel, which can be found in the section steel table (mm^4).
The formula for calculating the maximum deflection under three equally spaced concentrated loads is:
Ymax = 6.33pl^3/(384EI).
Where: Ymax is the maximum deflection of beam span (mm).
P is the sum of the standard values of each concentrated load (kn).
E is the elastic modulus of steel, and for engineering structural steel, E = 2 100000 N/mm 2.
I is the moment of inertia of section steel, which can be found in the section steel table (mm^4).
When the free end of the cantilever beam is subjected to uniform load or concentrated load, the maximum deflection of the free end is respectively, and its calculation formula is:
Ymax = 1ql^4/(8EI).； Ymax = 1pl^3/(3EI).
Q is the standard value of average wiring load (kn/m). P is the sum of the standard values of each concentrated load (kn).
Some load cases such as 1/400 and 25kn/m can be controlled according to the maximum deflection.