School of Civil Engineering FACULTY OF ENGINEERING UNIVERSITY OF LEEDS CIVE1360 - Structural Design and Analysis Coursework 3 (2023/2024) Timetable Start of Project = Thursday 29th February 2024 (Week 18) Submission Requirements Submit your project via the Minerva -Gradescope No later than on the specified submission deadline date. • Fully identified by a title page. • Assignment type: Major (5%) Feedback Individual feedback in the form of grades and comments will be given by Tuesday 7th May 2024 (Week 24). 3 2 3600 1 2700 3400 2900 School of Civil Engineering FACULTY OF ENGINEERING A 3750 B 4600 C 4600 D 250x150x12.5 RHS BEAM C COLUMN OVER BEAM A 203x133 UKB 25 CENTRAL ATRIUM BEAM A COLUMN OVER BEAM E BEAM B 178x102 UKB 19 BEAM D 203x203 UKC 71 140 THK DENSE BLOCK WALL BELOW INDICATES SPAN DIRECTION OF 175x47 C24 FLOOR JOISTS @MAX 600mm c/c - REF. JOIST 1 INDICATES SPAN DIRECTION OF THE 47mm WIDE ## C16 FLOOR JOISTS @MAX 400mm c/c - REF. JOIST 2 Figure 1 - Part 1st Floor Plan Overview Figure 1 shows a part 1st floor plan for the redevelopment of a substantial residential property. You have been appointed by the owner of the property, following a visit to site by the Local Authorities Building Control Inspector, to design a series of floor beams and joists to enable the works to be progressed. Client Requirements. You are required to complete a formal design for the floor structure shown, adopting the general rules for bending and deflection that have been covered in your studies to date, and satisfying the design criteria given below. 2 UNIVERSITY OF LEEDS School of Civil Engineering FACULTY OF ENGINEERING • C16 Timber floor boards and joists: • ○ Characteristic bending strength (fm,k) = 16N/mm² o Young's modulus (E) = 8kN/mm² O Density =310kg/m³. C24 Timber floor joists: O Characteristic bending strength (fm,k) = 24N/mm² o Young's modulus (E) = 11kN/mm² • ○ Density =350kg/m³. Standard joist sizes: UNIVERSITY OF LEEDS ◉ Depth (d) 97, 122, 147, 175, 195, 220, 250, 300mm ■ Breadth (b)-38, 47, 50, 63 & 75mm Steel beams and section: ○ Yield stress (fy) ■ ■ 355N/mm², ("t" the thickness of the largest element ≤ 16mm). 345N/mm², ("t" the thickness of the largest element > 16mm ≤ 40mm). Young's modulus (E) = 210kN/mm² O ○ Density of 7850kg/m³. ○ Standard plate sizes: ◉ - Depth (d) 150, 180, 200, 220, 250, 300mm ■ Breadth (b)-6, 8, 10, 12, 15, 18, 20, 25, 30, 35, 40, 45, 50mm о Loading For standard steel section properties see: https://www.steelforlifebluebook.co.uk/ 。 Variable - Occupancy Class B1 - See EN1991:1:1, and the appropriate NA. qk = 2.5kN/ m² Permanent " Self-weight of structural elements – as calculated. ◉ Floor boarding · as calculated - 19mm thick C16 Timber. No design check required. ■ Finishes = 0.15kN/m². ■ Services = 0.15kN/m². Ceiling 0.27kN/m². = 3 School of Civil Engineering FACULTY OF ENGINEERING UNIVERSITY OF LEEDS Design Requirements 1. Floor joists - Ref. JOIST 1. The drawing details 175mm × 47mm C24 joists at 600mm centres. You are required to complete a design check for these joists, considering both bending and deflection. If the joists fail the design checks you are to propose an alternative section, based on standard section sizes that satisfies all the required checks. You should note that the maximum joist depth should not exceed 250mm. [30 Marks] 2. Floor joists - Ref. JOIST 2. The new infill floor is to be constructed with C16 floor joists 47mm wide. You are required to specify a joist depth that satisfies the bending and deflection criteria. [20 Marks] 3. Beam A & B Design check required, i.e. check the maximum stress at the outer most fibre of the section and the mid span deflection. Comment on your results. [50 Marks] School of Civil Engineering FACULTY OF ENGINEERING Design Criteria UNIVERSITY OF LEEDS All timber and steel beams and joists to be checked for both bending and deflection. Bending Checks For bending you should check that the applied bending stress, developed as a result of the applied moment, is less than the maximum permissible stress. All your design calculations associated with bending and stress are to utilise the applied loads at the Ultimate Limit State. You are to adopt the simplified fundamental load combination as follows: Where: WULS = 1.359k + 1.5qk = gk Permanent actions = qk Variable actions For information, the Engineers Theory of Bending is as follows: σ 617 M I =- Where: M = Bending Moment σ = Bending Stress E = Young's Modulus of Elasticity Deflection y I = Second Moment of Area y = Distance from centroid to extreme fibre R = Radius of Curvature For deflection, you should ensure that the maximum mid-span deflection is less that the deflection limits given below. When considering deflection, you should design for the Serviceability Limit State i.e.: WSLS = 1.09k + 1.0qk The maximum mid span deflection can be calculated as follows: 5WL³ For UD load - max = 384EI PL³ For mid span point load бтах = 48EI Where: W = Total load on the beam (kN). L = Beam span (m). P = Point load (kN). E = Young's Modulus (kN/mm²). | = Second moment of area (cm4). LO 5