To analyze a nail tip and fixed support beam subjected to multiple forces including external and body forces, determine the average shear stress experienced on a single nail face, and letermine the minimum thickness of the beam to support these loads. As shown, a nail is being slowly driven into beam EF using a steady force of H = 250 N ; the beam supports a sign S = 380 N at Fand the beam has a weight of w = 640 N . The nail tip is ocated a = 0.5 m from the fixed support at E and the hook that holds the sign is located b = 0.45 m from the nail tip; the beam is c = 15 cm in height. The angle between the nail and the peam axis is e = 60 ° and the tip is angled at ø = 20 ° above the horizontal. An isometric view of the nail tip is shown highlighting the two faces of the nail tip that bear the load; each load bearing face has a rectangular area of Atip = 2.5 mm² . For simplicity, we assume that these faces bear the same load, the forces on each face are in the opposite direction of H, and the riction along the shaft is negligible. Nail Tip 11
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
![### Part C - Determine the minimum thickness of the beam
Determine the minimum thickness of the beam at the fixed edge given its height \( c = 15 \, \text{cm} \) and a maximum average shear stress of \( 50 \, \text{kPa} \); the beam has a rectangular cross-section.
**Express your answer to three significant figures with the appropriate units.**
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**Input Fields:**
- **Minimum Beam Thickness:**
- **Value:** [Input Field]
- **Units:** [Input Field]
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