(II) A heavy load M g=66.0 kN hangs at point E of the single cantilever truss shown in Fig. 70 .

step 1 Hello friends here it is given 4 cm long slide wire. The length of the slide wire is 4 cm. Moves

(II) A heavy load M g=66.0 kN hangs at point E of the single...

(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.

(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.

Key Concepts

Static Equilibrium

The principle of static equilibrium states that for a system at rest, the sum of all forces and the sum of all moments (torques) must be zero. This concept is fundamental in structural analysis and is used to formulate the equations needed to solve for unknown forces in the truss problem.

Torque (Moment) Equilibrium

Torque, or moment, equilibrium involves summing the moments about a pivot or a point so that their net sum is zero. In the truss problem, a torque equation is used for the entire structure to determine the tension in the support cable, highlighting how moments balance due to applied loads and support reactions.

Truss Analysis

Truss analysis involves determining the force in each member of a truss, typically through methods such as the method of joints or the method of sections. This concept assumes that forces act along the members and that the connections are pin joints, which simplifies the analysis by allowing the assumption that members carry only axial forces (either tension or compression).

Free-Body Diagrams

Creating free-body diagrams (FBDs) is an essential step in structural analysis. FBDs visually represent the forces and moments acting on a body or a component, helping to systematically isolate and analyze the forces acting on the truss and its individual members.

Force Decomposition

Force decomposition involves breaking down forces into their horizontal and vertical components. This method is crucial for solving equations of equilibrium because it allows the analysis of how different force components contribute to the overall balance of the structure, particularly when dealing with inclined members or support cables.

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