c) It has been noticed that the grain of this particular piece of timber is not parallel to the longitudinal axis of the beam. The capacity of timber changes relative to the direction of the grain. It is therefore useful to know the shear and normal stresses relative to the direction of the grain in order to assess the suitability of the piece of timber in this circumstance. The angle of the grain is 10° from the longitudinal axis. Assuming that the grain slopes down to the right as shown in the diagram (clockwise from the longitudinal axis), determine the stress normal to the grain (ie stress perpendicular to the grain) and the shear stress along the grain (using Mohr's circle of stress drawn earlier), at the bottom of the beam, just to the left of the point load. d) If the beam is flipped, so that the grain now slopes down to the left, determine the tensile stress across the grain, and the shear stress along the grain, at the bottom of the beam, just to the left of the point load. 20KN 200mm 600mm 38mm 125mm |15 kN Shear Force Diagram 5 kN Bending Moment Diagram (drawn on tension side) 3.0 kNm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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c) It has been noticed that the grain of this particular piece of timber is not parallel to
the longitudinal axis of the beam. The capacity of timber changes relative to the
direction of the grain. It is therefore useful to know the shear and normal stresses
relative to the direction of the grain in order to assess the suitability of the piece of
timber in this circumstance. The angle of the grain is 10° from the longitudinal axis.
Assuming that the grain slopes down to the right as shown in the diagram (clockwise
from the longitudinal axis), determine the stress normal to the grain (ie stress
perpendicular to the grain) and the shear stress along the grain (using Mohr's circle of
stress drawn earlier), at the bottom of the beam, just to the left of the point load.
d) If the beam is flipped, so that the grain now slopes down to the left, determine the
tensile stress across the grain, and the shear stress along the grain, at the bottom of
the beam, just to the left of the point load.
20kN
200mm
600mm
38mm
125mm
|15 kN
Shear Force Diagram
5 kN
Bending Moment Diagram
(drawn on tension side)
3.0 kNm
Transcribed Image Text:c) It has been noticed that the grain of this particular piece of timber is not parallel to the longitudinal axis of the beam. The capacity of timber changes relative to the direction of the grain. It is therefore useful to know the shear and normal stresses relative to the direction of the grain in order to assess the suitability of the piece of timber in this circumstance. The angle of the grain is 10° from the longitudinal axis. Assuming that the grain slopes down to the right as shown in the diagram (clockwise from the longitudinal axis), determine the stress normal to the grain (ie stress perpendicular to the grain) and the shear stress along the grain (using Mohr's circle of stress drawn earlier), at the bottom of the beam, just to the left of the point load. d) If the beam is flipped, so that the grain now slopes down to the left, determine the tensile stress across the grain, and the shear stress along the grain, at the bottom of the beam, just to the left of the point load. 20kN 200mm 600mm 38mm 125mm |15 kN Shear Force Diagram 5 kN Bending Moment Diagram (drawn on tension side) 3.0 kNm
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