A point load of 2.236kN is applied at point 3 of a frictionless pin- jointed structure which consists of members as shown in Fig Q2. Displacements at point 1 are fixed in x and y directions whereas only displacement in y direction is fixed at point 2. Member 1 has end points 1 and 2, member 2 has end points 2 and 3 and member 3 has end points 1 and 3. The cross sectional areas of member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm² respectively. Length of both member 1 and 2 is 10 m. Young's modulus (E) for all members is 200,000 N/mm². 2.236 KN 2 Fig Q2: Pin-jointed structure (b) Calculate horizontal and vertical displacements at point 2 and point 3.

A point load of 2.236kN is applied at point 3 of a frictionless pin- jointed structure which consists of members as shown in Fig Q2. Displacements at point 1 are fixed in x and y directions whereas only displacement in y direction is fixed at point 2. Member 1 has end points 1 and 2, member 2 has end points 2 and 3 and member 3 has end points 1 and 3. The cross sectional areas of member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm² respectively. Length of both member 1 and 2 is 10 m. Young's modulus (E) for all members is 200,000 N/mm². 2.236 KN 2 Fig Q2: Pin-jointed structure (b) Calculate horizontal and vertical displacements at point 2 and point 3.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

s 2b

A point load of 2.236kN is applied at point 3 of a frictionless pin-
jointed structure which consists of members as shown in Fig Q2.
Displacements at point 1 are fixed in x and y directions whereas only
displacement in y direction is fixed at point 2.
Member 1 has end points 1 and 2, member 2 has end points 2 and 3
and member 3 has end points 1 and 3. The cross sectional areas of
member 1, 2 and 3 are 500 mm², 250 mm² and 1414.42 mm²
respectively. Length of both member 1 and 2 is 10 m. Young's
modulus (E) for all members is 200,000 N/mm².
N
117
2.236 KN
Fig Q2: Pin-jointed structure
(b)
Calculate horizontal and vertical displacements at point 2 and
point 3.
Element stiffness (ke) matrix of a pin-jointed element is:
cos²
[k]-(45)
A.E cos sin
-cos²
cos sin
sin²
-cos sin
-cos²
-cos sin
- cosesin
- sin²
cos²
cos sin
-cos sin
sin² 0
cos sin
sin²
Subscript 'e' stands for element, L is length of an element, e is the
angle of inclination of the element measured anti-clockwise from the
x-axis.

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Step 1: Evaluate local stiffness matrices for all the members.

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Step 2: Evaluate global stiffness matrix.

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Step 3: Develop displacement matrix and force matrix.

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Step 4: Apply equilibrium equation.

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