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SEV320 Theory of Structures Analysis of Determinate Structures

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Added on: 2024-04-29 12:48:40
Order Code: CLT00008
Question Task Id: 0
  • Subject Code :

    SEV320

General Information

This assignment is designed to assess your knowledge about analysis of determinate structures and consists of problems related to internal forces and displacement calculation of determinate structures. You will find the lecture notes, seminar contents and the prescribed textbook as excellent resources for completion of this assignment. This assignment item relates to the unit learning outcomes (ULOs) 1 and 2.

Each student is required to prepare a calculation report which details the full solution procedure for each of the problems. The submission must be typed and in .pdf format (convert word file to pdf).

Calculation report shall include clear and concise calculations, neat and clear diagrams and concise written summaries as required by the assignment. Ensure that you clearly identify final answer (e. g. underline each answer). You should always use appropriate significant figures after the decimal point and SI units.

On the first page of the submission, students must include the following items:

  • Unit code and title
  • Your full name and student ID
  • The title of the assignment

Ensure all pages are numbered.

Submissions must be the students own individual work.

Problem 1: Shear Force and Bending Moment Diagrams (6 marks)

Draw the Shear Force and Bending Moment Diagrams of the frame loaded as shown in Figure 1 below. Make use of free body diagrams and show salient points i.e., locations and magnitudes of maximum and minimum values. Support at A and D are pin and there is an internal pin (hinge) at B.

Problem 2: Deflection Calculation (Conjugate beam method) (10 marks)

Determine the slope at B and vertical deflection at D in the beam loaded as shown in the Figure 2 below using Conjugate beam method. Also draw the deflected shape of the beam. EI is uniform throughout the beam. B is a roller support, and C is a pin support.

Problem 3: Deflection Calculation (Virtual work method) (9 marks)

Determine slope at A and vertical deflection at point D of the beam loaded as shown in Figure 3 below using virtual work method. The cross session of the beam is constant throughout its length and moment of inertia is 150 x 106 mm4. A is a rollersupport, and C is a fixed. There is an internal pin (hinge) at point B. Take E = 200 GPa.

The value of P must be calculated using your student ID and the following equation:

Round the calculated value of P UP to the nearest whole number (see example below)

The value of C is given in following table.

For example if your student ID is 211456789, then sqrt(211456789) = 14541.55. Constant from table for student ID started with 21 = 14500. So, P =(14541.55-14500)/10 = 4.155 and rounded up to nearest whole number. Hence P = 5 kN

This is an example only, students must use value of P as per above equation using your own student ID number for all calculations involved in problem 3.

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  • Uploaded By : Mohit
  • Posted on : April 29th, 2024
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