Why does the author use Δ1 + Δ2 for C instead of just Δ2?

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Homework Help Overview

The discussion revolves around the displacement of a frame under the influence of two horizontal loads, specifically addressing why the author uses the notation Δ1 + Δ2 for the displacement at point C instead of just Δ2. The subject area pertains to mechanics and structural analysis.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the reasoning behind the author's choice of displacement notation, questioning whether Δ1 should be included in the calculation for C. There are attempts to understand the implications of defining Δ2 as an additional displacement beyond that of B.

Discussion Status

The discussion is ongoing, with participants raising questions about the author's definitions and the potential simplifications that arise from them. Some participants express confusion regarding the necessity of including Δ1 in the displacement at C, while others suggest that the author's approach may lead to simpler equations.

Contextual Notes

There is a focus on the simultaneous application of the two horizontal loads and how this affects the definitions of displacement. Participants are considering the implications of these definitions on the overall analysis without reaching a consensus.

fonseh
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Homework Statement


I know that when the 80kN act on B , the frame will be dispalced by Δ1 to the right .. When the 40kN act on C , the frame will be displaced Δ2 to the right ... Why the author use Δ1 + Δ2 for C ?

Homework Equations

The Attempt at a Solution


Is the author wrong ? I think the author should use Δ2 at C instead of Δ1 + Δ2 for C , am i right ? Δ1 can / cannot be the same as Δ2 [/B]
 

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The two horizontal loads are applied together. The author chooses to define Δ2 as C's additional displacement beyond that of B.
Do you have an issue with an equation based on that?
 
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haruspex said:
The two horizontal loads are applied together. The author chooses to define Δ2 as C's additional displacement beyond that of B.
Do you have an issue with an equation based on that?
why The author chooses to define Δ2 as C's additional displacement beyond that of B ? why can't the author define the displacement at C = Δ2 only ??
 
fonseh said:
why The author chooses to define Δ2 as C's additional displacement beyond that of B ? why can't the author define the displacement at C = Δ2 only ??
If you follow through the equations, some of them turn out simpler with the author's choice. Whether it is simpler overall I have not tried to determine.
 

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