A pile of length L carrying a uniformly distributed load W per metre length is suspended at the centre and from other two points 0.15 L from either end ; the maximum hogging moment will be

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To find the maximum hogging moment in the pile, we need to consider the bending moments induced by the uniformly distributed load and the suspensions at the center and 0.15L from either end. Given:

• Length of the pile (L)
• Uniformly distributed load (W)
• Suspension points at 0.15L from either end

At the center of the pile, the bending moment due to the uniformly distributed load will be maximum. Additionally, the suspensions at 0.15L from either end also induce bending moments. These bending moments can be calculated by considering the reaction forces at the suspensions and their respective lever arms. The maximum hogging moment in the pile occurs when the bending moment due to the uniformly distributed load is greater than the total bending moment induced by the suspensions. Therefore, we need to calculate the bending moment at the center of the pile due to the uniformly distributed load, and then subtract the bending moments induced by the suspensions at 0.15L from either end. This calculation will provide us with the maximum hogging moment in the pile.