Question
Determine the $x$ and $y$ componcnts of cach force acting on the gusset plate of a bridge truss. Show that the resultant force is zero.
Step 1
The forces are given as follows: F1 = 8 kN, F2 = 6 kN, F3 = 6 kN, and F4 = 4 kN. The angles are given by the 3-4-5 triangle, so the cosine of the angle for F1 and F2 is 4/5 and the sine is 3/5. Show more…
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Determine the $x$ and $y$ components of each force acting on the gusset plate of a bridge truss. Show that the resultant force is zero.
Determine the x and y components of each force acting on the gusset plate of the bridge truss. Show that the resultant force is zero.
(II) A heavy load $M g=66.0 \mathrm{kN}$ hangs at point $\mathrm{E}$ of the single cantilever truss shown in Fig. $70 .$ (a) Use a torque equation for the truss as a whole to determine the tension $F_{\mathrm{T}}$ in the support cable, and then determine the force $\vec{\mathbf{F}}_{\mathrm{A}}$ on the truss at pin A. (b) Determine the force in each member of the truss. Neglect the weight. of the trusses, which is small compared to the load.
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