Two-Way Slab Design Calculations: Steps and Formulas

Step 1: Design Constants

  • For M20 & Fe415:

    • τc max = 1.4 N/mm² (from IS:456 Table 73)

    • σ = 2.76 (used in moment capacity formula)


Step 2: Effective Span Calculation

Slab Type Check

  • Cy/Cx = 6/4 = 1.5, which is < 2 → Two-Way Slab Panel

Effective Depth Calculation

Using IS 456 empirical formula:

$$\frac{L}{d} = \text{MF} \times \text{BF}$$

  • Basic factor (BF) = 26

  • Modification factor (MF) = 1.3

$$d = \frac{L}{\text{MF} \times \text{BF}} = \frac{6000}{1.3 \times 26} = 177.51 \, \text{mm} \approx 180 \, \

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Mole and Equivalent Concept Formulas for Chemistry

Mole and Equivalent Concept Cheat-Sheet

1. Basic Measurements

  • Density (ρ): ( ρ = \frac{\text{mass}}{\text{volume}} )
    • Mass: ( \text{mass} = ρ \times \text{volume} )
    • Volume: ( \text{volume} = \frac{\text{mass}}{ρ} )
    • SI Unit: ( \text{kg/m}^3 )

2. Mole Concept and Avogadro’s Number

  • Number of Moles (n): ( n = \frac{\text{mass}}{\text{molar mass}} )
    • Molar Mass: ( \text{molar mass} = \frac{\text{mass}}{n} )
    • Mass from Number of Particles: ( \text{mass} = \left( \frac{\text{Number of particles}}{N_A} \right)
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Construction Earthwork and Excavation Techniques

Geotechnical Testing and Site Preparation

Geotechnical Soil Testing

Soil testing (geotechnical) is performed through test borings to determine foundation pressure and bearing capacity. Samples are taken across the site and summarized in a comprehensive geotechnical report.

Subgrade Preparation and Layout

Subgrade preparation involves several critical steps:

  • Clearing the site and removing organic topsoil.
  • Excavating to the required depth.
  • Grading and compacting the soil to the proper density.
  • Replacing soft
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Essential Techniques in Underground Construction and Tunneling

Underground Construction Fundamentals

Underground construction refers to the building of structures beneath the Earth’s surface. This can include various types of facilities like tunnels, subways, basements, mines, parking lots, utility networks (e.g., water, sewer, and electrical lines), and even underground buildings or storage facilities.

Key Aspects of Underground Construction

Purpose and Applications

  • Transportation: Subways, tunnels for highways, and pedestrian passageways are essential for efficient
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Geologic Time Scale, Earth’s Structure, and Rock Properties

The geologic time scale (GTS) is a system of chronological dating that relates geological strata (stratigraphy) to time. It is used by geologists, paleontologists, and other Earth scientists to describe the timing and relationships of events that have occurred during Earth’s history.

The 4.6 billion-year geologic time scale is subdivided into different time periods of varying lengths. All of Earth history is divided into two great expanses of time.

The Precambrian began when Earth first formed 4.6

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Construction Materials: Types, Properties, and Uses

Ceramics

NSF rocks are composed of significant-sized mineral particles and indeterminate forms. They are used for building stone.

Igneous Rocks

These include:

  • Granite: Composed of quartz, feldspar, and mica. Used in the form of crushed gravel for making concrete.
  • Gabbro and Diorite: Used as an ornamental stone and for laying road surfaces.
  • Basalt: Slightly resistant to atmospheric effects.
  • Liparita and Pumice: Very porous rocks, used for the preparation of lightweight aggregates.

Sedimentary Rocks

  • Siliceous
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