# CES521 Indeterminate Structures UITM Assignment Sample Malaysia

CES521 Indeterminate Structures is a course offered at UITM (Universiti Teknologi MARA) is designed to provide students with a comprehensive understanding of structural analysis and design of indeterminate structures. Indeterminate structures are systems in which the behavior and response cannot be determined solely from the application of equilibrium equations, requiring additional methods and techniques for analysis. This course will cover topics such as force and displacement methods, moment distribution, slope deflection methods, and matrix analysis of structures.

Students will learn how to analyze and design structures that are commonly used in civil engineering, such as beams, frames, and trusses, with a focus on understanding the behavior of indeterminate structures under different loading conditions. Through lectures, tutorials, and practical exercises, students will develop skills in analyzing and designing indeterminate structures using both manual and computer-aided methods. This course aims to equip students with the necessary knowledge and skills to effectively analyze and design indeterminate structures, which are critical in modern civil engineering practice.

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In this section, we will provide some assignment tasks. These are:

### Assignment Task 1: Analyze reactions and internal forces as well as deformations in statically indeterminate structures.

Statically indeterminate structures are those that cannot be analyzed using only the equations of static equilibrium. These structures have more unknown forces and deformations than the number of equations available to solve them. Therefore, additional equations are needed to analyze these structures.

One method to analyze statically indeterminate structures is the stiffness method. This method involves breaking down the structure into smaller parts called members, which can be analyzed separately. Each member is assigned a stiffness value based on its material properties, geometry, and boundary conditions. The stiffness values are then used to create a system of equations that can be solved to determine the internal forces and deformations of the structure.

To analyze the reactions, internal forces, and deformations in a statically indeterminate structure using the stiffness method, the following steps are typically followed:

1. Identify the support conditions and boundary conditions of the structure. These conditions can be used to determine the number of unknowns in the system.
2. Discretize the structure into smaller parts or members, and assign stiffness values to each member. The stiffness values can be determined using the material properties, geometry, and boundary conditions of each member.
3. Assemble the stiffness matrix for the entire structure by combining the stiffness values of all the members. The stiffness matrix relates the internal forces and deformations of the structure.
4. Apply the boundary conditions to the stiffness matrix to account for the known values of the internal forces and deformations at the supports. This reduces the number of unknowns in the system.
5. Solve the system of equations to determine the internal forces and deformations at all the locations in the structure.
6. Calculate the reactions at the supports using the equations of static equilibrium.
7. Verify the solution by checking that the internal forces and deformations satisfy the equations of equilibrium and compatibility and that the boundary conditions are satisfied.

### Assignment Task 2: Develop compatibility principles in structural analysis of common statically indeterminate skeletal structures.

When it comes to analyzing statically indeterminate skeletal structures, there are several compatibility principles that engineers should follow to ensure accurate results. Here are some of the most important principles:

1. Displacements must be compatible: The displacements of all the joints in the structure must be compatible with each other. In other words, the displacement of each joint must be such that it fits with the displacement of the adjacent joints. This principle ensures that the structure remains stable and does not experience any deformation.
2. Forces must be compatible: The forces applied to each joint in the structure must be compatible with each other. This means that the forces acting on one joint must be balanced by the forces acting on the adjacent joints. This principle ensures that the structure remains in equilibrium and does not experience any unbalanced forces.
3. Compatibility of bending moments: The bending moments at each joint in the structure must be compatible with each other. This principle ensures that the structure remains stable and does not experience any torsional deformation.
4. Compatibility of shear forces: The shear forces at each joint in the structure must be compatible with each other. This principle ensures that the structure remains stable and does not experience any shearing deformation.
5. Compatibility of axial forces: The axial forces at each member in the structure must be compatible with each other. This principle ensures that the members do not experience any buckling or compression deformation.

By following these compatibility principles, engineers can ensure that their analysis of statically indeterminate skeletal structures is accurate and reliable.

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