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  • METHOD OF SECTIONS Learning Objectives...12 Method of Sections Example 2 Given: The overhead sign truss shown is a K-truss which is supported by a pin joint at U and a rocker support
13
7 METHOD OF SECTIONS Learning Objectives 1). To employ the method of sections to evaluate the axial force carried by selected members in a truss. 2). To do an engineering estimate of the load in select members of a truss. Procedure 1). Draw a FBD of the entire truss showing the reaction forces at the supports and the external loads. Write the equilibrium equations and solve for as many unknowns as possible. 2). Locate the force members to be evaluated. Identify whether any of these forces can be determined by observation (e.g., zero-force members). 3). Identify section to be used and draw a FBD of the section including any support reactions, external loads and internal forces of sectioned members. Remember , the cutting plane must cut through the members of interest. Also the cutting plane need not be straight, it may be curved. 4). Write the equilibrium equations for one of the two sections. The equations for either half of the section will yield the same member forces. 5). Three equilibrium equations are available, so up to three unknowns can be solved with a single section. 6). At times more than one section may be necessary.

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  • 7

    METHOD OF SECTIONS

    Learning Objectives

    1). To employ the method of sections to evaluate the axial force

    carried by selected members in a truss.

    2). To do an engineering estimate of the load in select members

    of a truss.

    Procedure

    1). Draw a FBD of the entire truss showing the reaction forces

    at the supports and the external loads. Write the

    equilibrium equations and solve for as many unknowns as

    possible.

    2). Locate the force members to be evaluated. Identify whether

    any of these forces can be determined by observation (e.g.,

    zero-force members).

    3). Identify section to be used and draw a FBD of the section

    including any support reactions, external loads and internal

    forces of sectioned members. Remember, the cutting plane

    must cut through the members of interest. Also the cutting

    plane need not be straight, it may be curved.

    4). Write the equilibrium equations for one of the two sections.

    The equations for either half of the section will yield the

    same member forces.

    5). Three equilibrium equations are available, so up to three

    unknowns can be solved with a single section.

    6). At times more than one section may be necessary.

    Yangfan Liu

    Yangfan Liu

    Yangfan Liu

  • 8

    Method of Sections

    Example 1

    Given: Truss A-M is supported by a pin support at joint A and a roller support at joint M. The truss is loaded with two 15kip forces as shown. (Note: 1kip = 1,000lbs.)

    Find:

    a) Determine the reaction forces at supports A and M.

    b) By inspection, identify all zero-force members in the truss. What else can you

    determine about the truss by inspection?

    c) Using the method of sections, determine the loads in members DE, KL, and

    DK. State whether each of these members are in tension or compression.

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  • 12

    Method of Sections

    Example 2

    Given: The overhead sign truss shown is a K-truss which is supported by a pin joint at U and a rocker support at V. The truss is loaded with these forces as shown and is in static equilibrium.

    Find:

    a) Determine the reactions at supports U and V.

    b) Determine the loads in members DE, DR, KR, and JK. State whether each

    member is in tension or compression.

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  • Method of Sections

    Group Quiz

    Group #: ____________ Group Members: 1) ______________________________

    (Present Only)

    Date: ______________ Period: _________ 2) ______________________________

    3) ______________________________

    4) ______________________________

    Given: The bridge truss is loaded as shown.

    Find:

    a) Determine the reaction forces at A and E.

    b) Identify any zero-force members.

    c) Do an engineering estimate of whether

    members CD, DG and FG are in compression

    or tension.

    d) Using the method of sections, determine the

    load carried in members CD, DG, and FG.

    Solution:

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