MMD · Naval architecture
Eight beam problems, drawn to the cut.
Shear force and bending moment diagrams for the Marine Gurukul SF & BM sheet. Reactions, station tables, and a probe you can drag.
The sheet
8 problems
01
|M| 155 N·m
Light beam, two point loads
10 m knife-edge beam. 50 N at mid-span, 30 N at 2 m from A.
02 · MMD January 2022
|M| 78.57 kgf·m
Overhanging 16 m beam
112 kg beam, supports 2 m from A and 4 m from B, 13 kg at mid-length.
03 · MMD August 2021
|M| 375 N·m
Beam on a flat bed
10 m beam, 61.162 kg, concentrated 30.581 kg at centre, fully bedded.
04 · MMD May 2019
|M| 191.24 kgf·m
16 m beam, max BM and contraflexure
160 kg beam, supports 2 m from each end, 15 kg at 6 m from A.
05 · MMD November 2017
|M| 25 kN·m
Symbolic simply-supported UDL
Length ℓ, weight w per unit length, supported at the ends.
06 · MMD May 2018
|M| 630 kN·m
Cantilever, UDL plus tip load
6 m cantilever, 45 kN at the free end, 20 kN/m over the whole length.
07 · MMD April 2021
|M| 80 kN·m
Uniform log, 2 m stations
10 m log, 100 kN, knife edges 2 m from each end, 30 kN at B.
08
|M| 1000 t·m
40 m beam on a level bed
320 t beam on a plain surface, 200 t end patches, 800 t mid patch.