Civil Engineering - beam question

Then, use the equilibrium equations to solve for the internal forces and moments. For Part e, you can use the equation delta = PL/AE to calculate the deflection at the left end of the beam, where P is the total load, L is the length of the beam, A is the area of the cross-section, and E is the Young's Modulus.In summary, the given conversation discusses various aspects of a beam, including the total load applied, stress in each column, strain, internal shear, axial and bending moment, and deflection. The values mentioned are 20kN for the total load, 100MPa for stress, and 4.83x10^-4 for strain. To solve for internal
  • #1
jumbo123
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Homework Statement



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(a) The total load applied to the beam and its direction (in kN)
(b) The stress (σ) in each column given that Their cross-sections are solid square sections 10 x 10 mm
(in MPa)
(c) The strain in each column if the Young’s Modulus (E) of the steel is 207 GPa.
(d) The internal shear (V), axial (N), and bending moment (M) in the beam at its mid-length.
(e) The distance (in mm) that the left hand end of the beam moves down under the given loading.

The Attempt at a Solution


I think that a is 20kN. B is 100MPa. C is 4.83x10^-4.

I don@t know what to do from here. Any help is appreciated.
 
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  • #2
For Part d, you should draw a FBD of the beam showing the loads and the reactions at the supports.
 

1. What is a beam in civil engineering?

A beam is a structural element that is designed to resist bending and carry loads from one point to another. It is typically horizontal in shape and can be made of various materials such as wood, steel, or concrete.

2. What are the primary types of beams used in civil engineering?

The primary types of beams used in civil engineering are simply supported beams, cantilever beams, and continuous beams. Simply supported beams are supported at both ends, cantilever beams are supported at one end, and continuous beams are supported at more than two points.

3. How are beams designed and analyzed in civil engineering?

Beams are designed and analyzed using various structural analysis methods such as the moment distribution method, the slope deflection method, and the finite element method. These methods take into account the material properties, loading conditions, and structural constraints to determine the optimal design for a beam.

4. What factors should be considered when designing a beam in civil engineering?

Several factors should be considered when designing a beam in civil engineering, including the material properties, loading conditions, structural constraints, safety requirements, and cost-effectiveness. It is important to also consider potential changes in loading conditions and the potential for future modifications or expansions.

5. How does the design of a beam affect the overall stability and safety of a structure?

The design of a beam plays a crucial role in the overall stability and safety of a structure. A poorly designed beam can lead to structural failure, while a well-designed beam can provide structural integrity and stability. It is important to consider all factors and use proper design techniques to ensure the safety and stability of a structure.

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