Calculate Bending Moment of Wooden Joist - 1.0 & 2.0 m

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To calculate the bending moment of a wooden joist spanning 5.0 m under a 30 kN load placed 3.0 m from the right end, it is essential to first create a free-body diagram to identify reaction forces. The bending moment can be determined using the formula M/I = sigma/y = E/R, where M is the moment, I is the moment of inertia, sigma is the stress, y is the distance from the neutral axis, E is the modulus of elasticity, and R is the radius of curvature. The calculations for the bending moments at 1.0 m and 2.0 m from the right-hand end will depend on these initial reactions and the load distribution. Understanding the maximum tensile strength of 12 MPa is crucial for ensuring the joist's structural integrity. Accurate calculations will help in assessing the joist's performance under the given load conditions.
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3) A wooden joist of rectangular cross-section spans a gap of 5.0 m and supports a load of 30 kN placed 3.0 m from the right-hand end. The joist has a depth of 150 mm and the maximum tensile strength that it is allowed to withstand is 12 MPa.

a) Calculate the bending moment 1.0 m and 2.0 m from the right-hand end.



M/I = sigma/y = E/R

Have no clue, cheers
 
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Recommend starting with a free-body diagram, then finding the reaction loads.
 
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