Edupanda » Mechanika techniczna »  Statics - Planar force system » Equilibrium of a planar arbitrary system of forces II

List of examples

Example 1

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There is a frame supported as shown in the diagram. Release the structure from constraints and write the equilibrium equations.

Example 2

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The frame supported as shown in the figure is given. Release the system from constraints and write the equilibrium equations.

Example 3

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The frame shown in the diagram is given. Release the structure from constraints and write the equilibrium equations. \( \alpha = 45^0 \).

Example 4

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A frame supported as shown in the diagram is given. Free the system from restraints and write the equations of equilibrium.

Example 5

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A frame supported as shown in the diagram is given. Release the system from constraints and write balance equations.

Example 6

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The frame shown in the diagram is given. Release the system from constraints and write the equilibrium equations.

Example 7

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A frame supported as shown in the illustration is given. Release the structure from constraints and write the equilibrium equations.

Example 8

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The frame is supported as shown in the diagram. Release the system from constraints and write the equations of equilibrium.

Example 9

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Calculate the support reactions and reactions at the hinge. Data: AB=2a, BC=CD=a, CE=b.

Example 10

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Calculate the support reactions without dividing the system into two parts by a hinge.

Example 11

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Calculate the support reactions and the reactions at the hinge.

Example 12

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Calculate the support reactions and the reactions at the hinge.

Example 13

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A beam-and-rod system is given. Beam AC (with weight G) and beam CD (with weight Q) are articulatedly connected. Beam AC is freely supported at point A, additionally suspended by the cable BE. Calculate support reactions and reactions at the joint.

Example 14

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Determine the values of reactions \(R_A\), \(R_B\), and \(R_C\) in the beam shown in the figure. Assume a moment \(M = 400 kNm\), a force \(P = 100 kN\), a distributed load \(q = 10 kN/m\), and a length \(L = 10 m\).