Question
Asked Aug 20, 2019
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The frame shown supports a mass of m=250kg mass suspended from point F. The frame is supported by a pin connection at Point A and a roller at Point D. Internal pin connections are located at Points B, C, and E. The dimensions of the frame are h1=0.7m, h2=1.6m, h3=0.5m, L1=1.2m, L2=0.4m. Determine:

  • The vertical and horizontal components of the reaction force at Point A.
  • The vertical and horizontal components of the force at Pin C.
  • The reaction force at Point D.
D
h3
B
A
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D h3 B A

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Expert Answer

Step 1

Given:

The frame having following values.

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m 250kg h 0.7m 1.6m h0.5m L 1.2m L 0.4m

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Step 2

Calculation:

Now, draw the free body diagram for the given frame is

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RD E L2=0.4m E L1-1.2m h3 0.5m h2=1.6m m-250Kg B h1-07m НА VA

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Step 3
  1. Calculating vertical and horizontal components o...
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ΣΗ-0, ΣF -0 md ΣΜ,-0. From figure HA-RD 0 H RD And, V250kg And from,M= 0 RDX(0.7+1.6+0.5)= 250 x (1.2+0.4) RDx (2.8) 250x (1.6 RDx(2.8) 400 400 RD 2.8 RD 142.85kg We already know that H4 R Therefore H4 142.85kg

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Civil Engineering

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