International Journal of Naval Architecture and Marine Technology

Deflection Analysis of a Beam Structure with Cantilever Constraint Using Superposition Method

Najzwa Gita Purnama Putri — 2025-10-01

This study analyzes the maximum deflection of a cantilever beam subjected to a uniformly distributed load using analytical The analysis focuses on determining reaction forces, moments, and maximum deflection at the free The cantilever configuration with a fixed support at one end and a distributed load throughout its length represents a fundamental case in structural Results show that the maximum deflection occurs at the free end and is directly influenced by the beam's length, load magnitude, elastic modulus, and moment of This foundational analysis supports further studies of statically indeterminate beams and serves as a reference for more complex load conditions or numerical simulations such as Finite Element Analysis (FEA).

Application of the Generalized Reduced Gradient Method to Minimize Fuel Consumption in Ship Allocation: A Case Study at PT. Wilmara

Dyah Ayu Dwi Anggraini — 2025-10-01

Fuel efficiency is a persistent challenge in the maritime industry, particularly for companies managing the transportation of bulk commodities such as crude palm oil. This study investigates vessel allocation at PT. Wilmara can be optimized to reduce overall fuel consumption while ensuring that operational requirements are fulfilled. The primary goal is to identify the most effective distribution of cargo among available ships so that all port demands are met without exceeding vessel capacities. The research formulates this problem as a nonlinear optimization model and applies the Generalized Reduced Gradient method, utilizing Excel Solver, to find the optimal solution. Operational data, including ship capacities, specific fuel oil consumption rates, sailing speeds, port demands, and voyage distances, are incorporated into the model. The optimization process produces a cargo allocation plan that minimizes total fuel usage and operational costs compared to non-optimized scenarios. The results demonstrate that the Generalized Reduced Gradient approach is effective in improving both fuel efficiency and cost-effectiveness in fleet management. These findings underscore the practical benefits of advanced optimization techniques for shipping operations, contributing to more sustainable and efficient maritime logistics practices.

Keywords: Fuel Consumption Optimization; Generalized Reduced Gradient; Ship Allocation; Maritime Logistics

Analysis Double Integration-Based of Deflection in Cantilever Beam Structures

Aulia Nuri Izzati — 2025-10-01

This study analyzes the deflection behavior of cantilever beam structures using a
theoretical approach based on the double integration method. Cantilever beams, which are
commonly used in shipping engineering and building structures, are prone to deflection due
to vertical loads such as point loads, uniform loads, and applied moments. The analysis
focuses on mathematically determining the deflection profile through solving elastic curve
differential equations, in order to understand the deformation pattern and structural
response more clearly. This research utilizes a qualitative analysis method with
reinforcement through literature study and software-assisted validation. The results confirm
the importance of deflection analysis in structural planning to ensure safety, prevent
excessive deformation, and support optimal engineering decision-making, especially in
maritime applications.

The Optimization Scenario of Loading and Unloading of Containership Using Linear Programming

Muhammed Naves Syafi’illah — 2025-10-01

Container ship loading and unloading optimization represents a critical challenge in maritime logistics, directly impacting global supply chain efficiency and operational costs. This research presents a comprehensive analysis of linear programming applications for optimizing container ship operations, focusing on stowage planning, berth allocation, and terminal operations. The study develops mathematical models that minimize operational costs while ensuring vessel stability and safety constraints. Through implementation of mixed-integer linear programming approaches, the research demonstrates significant improvements in container handling efficiency, with potential reductions of 15-20% in total operation time compared to conventional methods. The findings indicate that integrated optimization approaches considering multiple operational levels simultaneously achieve superior results compared to isolated optimization processes. This work contributes to the advancement of mathematical optimization techniques in maritime logistics, providing practical solutions for modern container terminal operations.

The Deflection Analysis on Cantilever Beam with Load Point Applied at Free End Using Double Integration Method

Faiz Yudihistira Hidayat — 2025-10-01

This study analyzes the deflection behavior of a cantilever beam subjected to a concentrated load at its free end using the double integration method. The objective is to derive and validate the deflection equation of the beam based on classical beam theory (Pytel & Kiusalaas, 2012). The methodology involves applying the Euler-Bernoulli beam equation and performing successive integrations with appropriate boundary conditions to determine the deflection function (Gere & Goodno, 2012). The results indicate that the maximum deflection occurs at the free end and is directly proportional to the magnitude of the applied load and the cube of the beam’s length, and inversely proportional to the flexural rigidity (Hibbeler, 2017). The analytical solution obtained is consistent with standard beam deflection formulas, confirming the accuracy and reliability of the double integration approach (Pytel & Kiusalaas, 2011). This method provides a fundamental and systematic procedure for structural analysis in engineering mechanics (Gere & Goodno, 2012).

Keyword: Beam Deflection, Cantilever Beam, Double Integration Method, Structural Analysis