Jib Crane Cantilever Bending Moment Calculator

The jib crane cantilever bending moment calculator computes the forces acting on the cantilever beam of a jib crane, using key parameters including cantilever beam length, capacity, cantilever beam self‑weight, and maximum slewing radius. Cantilever bending moment calculation helps avoid fracture risks. It also makes it easy to compare how different lifting capacities and working radii affect the cantilever beam structure of jib cranes. Furthermore, the jib crane cantilever bending moment calculator verifies whether the cross‑sections of the cantilever beam and column meet working strength requirements, evaluates the rationality of design schemes, and provides references for subsequent jib crane design.
jib crane cantilever bending moment calculator 1
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Total Moment M (N·mm)
Total Moment M (N/m)

Jib Crane Cantilever Bending Moment Calculator Formula

q1 =
Gbeam
L1
M1 = (Ghoist + G) × L3
M2 = q1 × L2 ×
L2
2
− q1 × (L1 − L2) ×
(L1 − L2)
2
M3 = Gcounterweight × L4
  • q1: uniformly distributed load (unit: N/mm)
  • G-beam: cantilever beam weight (unit: N)
  • L1: total cantilever beam length (unit: mm) 
  • G-hoist: hoist weight (unit: N)
  • G: capacity (unit: N)
  • L3: maximum slewing radius (unit: mm)
  • L2: length from rotation center to cantilever front end (unit: mm)
  • G-counterweight: cantilever beam counterweight (unit: N)
  • L4: distance from the counterweight to the rotation center (unit: mm)
M = M1 + M2 − M3
  • M: the total jib crane cantilever bending moment (unit: N/mm)
  • M1: the moment of the hoist and load at the maximum radius of gyration (finite radius)
  • M2: the moment caused by the weight of the cantilever beam weight
  • M3: the moment caused by the cantilever beam counterweight

Notes

When calculating, it’s necessary to consider the different structural types of some jib cranes. Therefore, this jib crane cantilever bending moment calculator includes two variables, L1 and L2:

  • L1 = Total length of the entire beam
  • L2 = Length from the center of rotation to the front end

Therefore, if the cantilever beam of the jib crane has an overhang, then Lrear = L1 – L2. Only then can the formula for calculating the moment M2 caused by the self-weight of the boom be used.

Applicable Jib Cranes

  • Free Standing Jib Cranes
  • Wall Mounted Jib Cranes
  • Wall Travelling Jib Cranes
  • FEM Standard Jib Cranes
  • Workstation Jib Cranes

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