Question

In the sugar mill they have a single bar with a central groove that is used to press the waste from the cane and place a belt on them to package it and then send it to a later process. The bar is made of a hot-rolled AISI 1095 steel, which has been machined at 2 in diameter and the central slot was machined with a radius of 0.1 in. Due to the process of pressing the rod waste, the bar is a fluctuating load that generates moments that fluctuate between 0 lbf to 25 Klbf in the smallest diameter due to the concentration of stress (in the slot).

Estimate:

1. DCL of the slotted bar under flexing moments

Answer 1

The DCL (Deflection of a Circular Loaded Bar) of the slotted bar under flexing moments can be estimated by calculating the point of maximum tensile stress in the slot.

Step-by-step explanation:

The DCL (Deflection of a Circular Loaded Bar) of the slotted bar under flexing moments can be estimated by calculating the point of maximum tensile stress in the slot. The maximum tensile stress occurs at the edge of the slot, and it can be calculated using the equation:

σ = Mmax * c / I

where σ is the maximum tensile stress, Mmax is the maximum moment, c is the distance from the center of the slot to the edge, and I is the moment of inertia of the cross-section of the slot. Once the maximum tensile stress is known, the DCL can be determined using the material's stress-strain relationship.