Triangular slab load distribution. This video explains how the slab load transfer to beams with tributary area of two way slab and one way slab with an example. Load Distribution in Two-way Slab. 1. Beam load is calculated by multiplying the segment area by the slab’s unit load divided by the beam length. Aug 16, 2021 · In the case of one way slab the load is transferred to only on the longer beams/walls supporting the slab i. • It is assumed that the slab loads on the triangular and trapezoidal parts of the slabs are carried by supporting beams as if they are Feb 14, 2023 · In a two-way slab, the load distribution takes place in both the directions, and the load is carried by all the beams or walls along all 4 sides. 0 Worked Example: Distribution of slab load to beams. Unit weight of concrete = 24KN/m 2 The beam's distributed load is computed by multiplying the segment area (trapezoidal or triangular area) by the slab's unit load divided by the beam length. 7 %¡³Å× 1 0 obj > endobj 2 0 obj [/ICCBased 3 0 R] endobj 3 0 obj /Filter /FlateDecode /Length 2596 /N 3 >> stream xœ –wTSÙ ‡Ï½7½P’ Š”ÐkhR H ½H‘. This load would be uniformly distributed on the long walls. the total floor load is distrubted equally on the two long side beam/walls. Depending on the analytical method employed in the design, some idealisations can be made in order to simulate load transfer from slab to beam. The equivalent UDL is found to be W*Lx/3 for the KEYWORDS Load distribution; slabs; supporting beams; equivalent loads; shear; moment; deflection 1 INTRODUCTION A procedure is adopted by the Egyptian code to simplify structural analysis of beams by transforming triangular and trapezoidal slab loads to equivalent uniform distributed loads [1]. 3. com Apr 7, 2021 · Type of slab = right angle triangular slab. The slab is often divided into trapezoidal and triangular areas. 3 Slabs with complex geometry 4. , the slab's load from the other side of the beam. 1 Weight of a slab Download scientific diagram | | Load distribution of the beams under different constraints (A) Two sides simply supported with trapezoidal load (B) Two sides simply supported with triangular load Nov 2, 2018 · Explained the Derivation of Triangular Load Distribution Formula for Load Coming From Slab to Beam. %PDF-1. For a beam along the length of the slab, the load is from the trapezoid area. 1 One-way load distribution 4. For an interior beam, the portion of the other side's slab weight is estimated in a similar way and added to the previous one, i. youtube. =0. 02m. Length of the slab = 4m. 2 Load Distribution 4. It provides the dimensions and load information for a slab with a shorter span of 4m and longer span of 6m. Main bar =T12 @ 150 c/c. Distribution bar =T10 @ 150 c/c. Consider a slab with a thickness of 150 mm supporting its weight, a 0. From the basic principles of statics to the complex calculations of shear forces and bending moments, understanding triangular load distribution is essential for the safe and efficient Load Transfer from Two-Way Slabs to Beams • In edge-supported slabs, if supports are beams, slab loads are transmitted to the beams and then to the columns. Triangular and Trapezoidal Loads. CASE 1: Two way slab of dimensions (5m x 6m) simply supported by beams on all sides and subjected to a pressure load of 10 kN/m 2 Nov 2, 2018 · Explained the Derivation of Triangular Load Distribution Formula for Load Coming From Slab to Beam. e. *1 JÀ "6DTpDQ‘¦ 2(à€£C‘±"Š… Q±ë DÔqp –Id ß¼yïÍ›ß ÷~kŸ½ÏÝgï}Öº üƒ ÂLX € ¡X áçň ‹g` ð làp³³B øF ™ |ØŒl™ ø ½º ùû*Ó?ŒÁÿŸ”¹Y"1P˜ŒçòøÙ\ É8=Wœ%·OÉ . Clear cover on all sides = 20mm. 1 Own weight of structural element 4. com May 28, 2024 · Triangular load distribution is a pivotal concept in structural engineering, providing insights into how loads are distributed and borne by various structures. 2. As you can observe in the below drawing, I have redrawn the slab with the main bars. 1 Introduction 4. First, we will calculate the cutting length of the main bars. 4. Fig shows a floor plan, use the data below to estimate the slab loads transferred to Beam 1, Beam 2, and Beam 3. The horizontal distance from the larger end of the triangle to the centroid is \(\bar{x} = b/3\text{. Similarly, for a triangular distributed load — also called a uniformly varying load— the magnitude of the equivalent force is the area of the triangle, \(bh/2\) and the line of action passes through the centroid of the triangle. 5KN/m 2. Load Transfer Example. Finishes = 1. Apr 6, 2020 · The line load can be triangular, trapezoidal, or partially distributed on the beam. In the case of two way slab the load is transferred to all the long as well as the short beams/walls. ***** Dec 7, 2024 · Engineers often divide the load into segments or use calculus-based methods to integrate the load function over the structure’s length, ensuring accurate determination of forces and moments. Interior beams take loads from both sides. The document describes the process of calculating loads from a two-way slab to a beam. It then shows the calculations to determine the equivalent uniform distributed load (UDL) for each span by considering the total load and geometry. The most popular methods of transferring slab load to beams are; Finite element analysis; Yield line method Oct 20, 2023 · 3. Formulas are given to calculate the load and maximum bending moment for each case based on the slab load and beam dimensions. Full Playlist link for this topic- https://www. The loads in these areas are allocated to the adjoining beams. 0KN/m 2. Load Distribution and Load Calculation . 2 Two-way load distribution 4. For a beam along the width, the load is from the triangular area. 3 Slabs 3. Chapter Four 70 . fig (4) Data: Live Load on slab = 1. 4 Examples . Triangular and Trapezoidal Loads are specific varying distributed loads forming geometric shapes. }\) Oct 14, 2021 · Two Way Slab Load Distribution on Beam: Two Way Slab Load Distribution on Beam. The breadth of the slab = 3m. 3. To understand the load distribution in a two-way slab, it is divided into four parts: two triangles and two trapezoids. 3 Load Calculation 4. svcdjh jmbejfp mqzwfu emeas hnsgy fksd xmnx zvzro aka psto