Situation A:In the given figure and values of a Swietenia macrophylla King timber beam, determine the following:B = 100 mm (width)D = 250 mm (depth)Bending and Tension Parallel to Grain = 16.5 MPaModulus of Elasticity in Bending = 4.66 MPaCompression Parallel to Grain = 10.5 MPa5 kN2 kN/m1.0 m |1.0 mCompression Perpendicular to Grain = 3.83 MPaShear Parallel to Grain = 2.71 MPaDraw the shear and moment diagram and determine the location and magnitude of the maximum shear and maximum moment.Determine the value of the maximum actual shear and flexural stresses carried by the beam.Determine the location and magnitude of the maximum deflection using the double integration method.Check whether the structure is safe or not, if the allowed deflection is L/360.

Answered: Image /qna-images/answer/87b8622c-21dc-4491-8f64-6e72bd1b4181.jpg

100 mm (width) 250 mm (depth) ding and Tension Parallel to Grain = 16.5 MPa ulus of Elasticity in Bending = 4.66 MPa npression Parallel to Grain = 10.5 MPa 2 kN/m 5 kN A 1.0 m . 1.0 m pression Perpendicular to Grain = 3.83 MPa m ar Parallel to Grain = 2.71 MPa w the shear and moment diagram and determine the location and magnitude of the maximum shear and maxin ermine the value of the maximum actual shear and flexural stresses carried by the beam. ermine the location and magnitude of the maximum deflection using the double integration method.

100 mm (width) 250 mm (depth) ding and Tension Parallel to Grain = 16.5 MPa ulus of Elasticity in Bending = 4.66 MPa npression Parallel to Grain = 10.5 MPa 2 kN/m 5 kN A 1.0 m . 1.0 m pression Perpendicular to Grain = 3.83 MPa m ar Parallel to Grain = 2.71 MPa w the shear and moment diagram and determine the location and magnitude of the maximum shear and maxin ermine the value of the maximum actual shear and flexural stresses carried by the beam. ermine the location and magnitude of the maximum deflection using the double integration method.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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Situation A:
In the given figure and values of a Swietenia macrophylla King timber beam, determine the following:
B = 100 mm (width)
D = 250 mm (depth)
Bending and Tension Parallel to Grain = 16.5 MPa
Modulus of Elasticity in Bending = 4.66 MPa
Compression Parallel to Grain = 10.5 MPa
5 kN
2 kN/m
1.0 m |
1.0 m
Compression Perpendicular to Grain = 3.83 MPa
Shear Parallel to Grain = 2.71 MPa
Draw the shear and moment diagram and determine the location and magnitude of the maximum shear and maximum moment.
Determine the value of the maximum actual shear and flexural stresses carried by the beam.
Determine the location and magnitude of the maximum deflection using the double integration method.
Check whether the structure is safe or not, if the allowed deflection is L/360.

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