What is the total vertical deflection at g

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Reference no: EM131048205

Deflection of determinate structure and analysis of indeterminate structure

Problem 1 - Deflection Calculation

A truss is shown in the following figure. Compute the vertical deflection of joint G of the truss for the situation described in each of the following questions. Use method of virtual work. For all bars, area A = 400 mm2, E = 200 GPa. Support at A is a pin, support B is a roller. All truss joints are pins.

a) The loads acting as shown in figure.

b) Temperature rise of 600C of members AB and BC. Take coefficient of thermal expansion, α = 12 × 10-6/0C.

c) If member CE is fabricated 6 mm too short.

d) What is the total vertical deflection at G due to all effects i.e. a, b and c?

1849_Theory of Structures.jpg

Problem 2 - Analysis of Indeterminate structure

Use Force Method to compute all the support reactions for the following beam and draw the bending moment diagram. A is a pin support, and B & C are roller supports. EI is constant. The load value P must be calculated using your student ID and the following equation:

p(kN) = (√(Student ID)) - Constant

Round result UP to the nearest whole number

The value of constant is given in following table.

Student ID Constant
First two digits of your student ID starts with 20 14000
First two digits of your student ID starts with 21 14500
First two digits of your student ID starts with 50 22300
First two digits of your student ID starts with 70 26400

For example if your student ID is 213456789, then sqrt(213456789) = 14610.16 and rounded up to nearest whole number = 14611. Constant from table for student ID started with 21 = 14500. Hence, P =14611-14500 = 111 kN

This is an example only, students must use P as per above calculation using your own student ID number for all Problem 2 calculations.

1084_Theory of Structures1.jpg

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The given solution is a scanned copy of handwritten solution. The solution has 13 A4 sized pages. The solution mentions all the data taken from the problem given, with the annotation and nomenclature. The formulae are used as applicable and diagrams are provided wherever necessary.

Reference no: EM131048205

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