The free-body diagram of a loaded timber composite beam, is shown in Fig 1 (dimensions in meters). The timber has a Young's modulus of 15GPa, a fracture strength of 110MPa and cross-sectional dimensions as also shown in Fig 1 (in mm). The timber is joined by nails running along its length, each having a shear- load capacity of 2kN. 9.375kN 0.1m 50kN/m 25kN 20.625kN | 0.1m 0.1 30mm 5mm 55mm Fig 1 Construct a shear force and bending moment diagram for the beam. Determine the minimum number of nails that could be used to join the two timber beams, assuming spacing can vary. Derive a general expression for calculating the moment at any point along the beam and determine the greatest axial stress 0.175m from the LHS. Is the chosen material suitable for the load case provided?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The free-body diagram of a loaded timber composite beam, is shown in Fig 1
(dimensions in meters). The timber has a Young's modulus of 15GPa, a fracture
strength of 110MPa and cross-sectional dimensions as also shown in Fig 1 (in
mm). The timber is joined by nails running along its length, each having a shear-
load capacity of 2kN.
9.375kN
50kN/m
0.1m
25kN
20.625kN
0.1m 0.1m
30mm
5mm
55mm
Fig 1
Construct a shear force and bending moment diagram for the beam.
Determine the minimum number of nails that could be used to join the two
timber beams, assuming spacing can vary.
Derive a general expression for calculating the moment at any point along the
beam and determine the greatest axial stress 0.175m from the LHS. Is the
chosen material suitable for the load case provided?
Transcribed Image Text:The free-body diagram of a loaded timber composite beam, is shown in Fig 1 (dimensions in meters). The timber has a Young's modulus of 15GPa, a fracture strength of 110MPa and cross-sectional dimensions as also shown in Fig 1 (in mm). The timber is joined by nails running along its length, each having a shear- load capacity of 2kN. 9.375kN 50kN/m 0.1m 25kN 20.625kN 0.1m 0.1m 30mm 5mm 55mm Fig 1 Construct a shear force and bending moment diagram for the beam. Determine the minimum number of nails that could be used to join the two timber beams, assuming spacing can vary. Derive a general expression for calculating the moment at any point along the beam and determine the greatest axial stress 0.175m from the LHS. Is the chosen material suitable for the load case provided?
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