Q2 a) This is a concrete beam (the interior lines represent reinforcing bars), If P is live load, draw the BMD and the SFD as a result of ULTIMATE LOAD. P= 50 kips 20 ft. 20 ft. 40 ft. Own weight of the beam= 1.0 kip/ft. (Uniform dead load)
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A beam is a primary component that basically resists loads applied laterally to the beam's hub. Its method of diversion is principally by bending. The heaps applied to the beam bring about response forces at the beam's support points.
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- A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with d-20-mm-dismeter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is M0 mm and at the bottom is 70 mm. Use concrete strength r'e-21 MPa und steel yield strength fy 415 MPa for 20- mm bars and fy= 275 MPA for 16 mm bars Detenmine the design moment capacity n kN m of the beam in negative bending. A 40.06 O45.07 C. 42.70 D47.55Design economical spacing of 10 mm diameter stirrups for the beam which carries the loads shown. Design shear reinforcement of prestressed beam with the following properties listed. Properties: f^c=28 MPa fy = 276MPa Aps = 800 mm² Ds = 10mm Dm = 18mm fse = 800 MPa fpu = 1500 MPa fpe = 860 MPa Pe = 250kNス F. reinforced concete structure is shown The floor framing plan oF in the figure. The beams are 280 mm wide and S20 mm deep, and the slob is 110mm thick an edditional (super impes) veight,1 and live lo ad of OTher than conerete weight, the floor subjected other to Is dead load of 3k Pa si2 k Por. Unit weight of concrete is 23.5 kN/m® le Determine the total uniform load on beam DEF and ABC axial load 20 Determme the total on columns A and B,D an) E 2Sm 티 2.Sm 6.2m 6.2m
- 30" Design the reinforcement for the T-beam in the middle which carries a live load of 200 lb/ft². The length of the beam is 25 ft. In your design assume concrete with a compressive strength of 3,000 psi density 150 lb/ft³ and Grade 60 Steel. 27" 12" 10'-0" 12" 10'-0" 12"Design economical spacing of 10 mm diameter stirrups for the beam which carries the loads shown. Design shear reinforcement of prestressed beam with the following properties listed. Properties: f’c = 28 MPa fy = 276 MPa Aps = 800 mm2 Ds = 10 mm Dm = 18 mm fse = 800 MPa fpu = 1500 MPa fpe = 860 MPa Pe = 250 kNDesign the shear reinforcement of the beam loaded as shown using WSD with fc’ = 20.7 MPa and fy = 276 MPa, fs = (fy/2)
- a) Design a cantilever beam with a span length of 2.6m. The beam is exposed to 34kN/m dead load and 20kN/m live load. Height, width and concrete cover of the beam are 69cm and 30cm and 4cm respectively. Use C35 concrete and S420 steel and choose Ø16 bars. b) Calculate the spacing between the bars and indicate whether the bars can be placed as a single layer or not. Assume 2.1 cm concrete cover on the sides, 25mm maximum aggregate size and Ø10 stirrups. c) Draw the cross-section of the beam showing all reinforcement and dimensions. Use Ø12 hanger bars if required.9.4- A concrete slab with 180 mm thickness support dead load 5kN/m² include self- weight and service live load 4kN/m2, find: 1- Adequacy of slab thickness. 2- Steel area required at point 1, 2, 3&4. 3- Total load on beam AB and DC. Use Ø12 mm, f = 28MPA and fy = 400MPA 5 20 m- 5.20 m- -5.00 m- -5.20 m- opening 6.00 m B 2 6.00 m D 2.00 mWood planks are used on each working level. The deck width/bearer span is 5 ft.. The bearers and posts are standard pipe and the pipe material is A36 steel with a yield stress of 36,000 psi and modulus of elasticity of 29,000,000 psi. Bearers are to be located at a vertical spacing of 10 ft (largest, lowest post height). Posts are to be 7 ft oc (plank length) parallel to the building wall and 5 ft apart (bearer length) perpendicular to the building wall. There are four working levels and the anticipated scaffold loading will be med duty. A. Assuming the ultimate bending strength of the planks is 3,800 psi (apply a 4:1 F.O.S.), determine the required minimum plank thickness to the nearest 100th. B. Based on the bearer material provided, what is the minimum pipe size that can be safely used? See Appendix 2 in your textbook for steel pipe properties. C. Based on the post material provided, can a 2” standard pipe be used safely? Be sure it satisfies buckling stress conditions only.
- Exercises 1- A rectangular beam reinforced with 4 o18 bars has h=650mm, bw=250mm and d'=30mm. Applied moment is 67 kN.mMaterials used are C25 and S220. Allowable compressive stress and modulus of rupture for concrete are 10MPA and 2.3 N/mm2 respectively. Allowable stress for steel is 140 MPa. Is this beam cracked or uncracked? Is this beam designed adequately to carry the applied moment safely? 2- Does this beam have enough capacity to carry the applied moment? Also, calculate the position of neutral axis. h=50cm, bw= 25 cm, and d'=3cm. C25 and S420 are used. (kı= 0.85; fod= 17 MPa; fya=365 MPa; E= 2X10°N/mm?) DL= 30 kN/m LL= 15 kN/m 4Ф 22 5.3 m 3- Calculate the moment carrying capacity of the beam shown? Choose the required steel reinforcement to carry this moment. d=470mm b= 270mm and d'=30mm. C20: Allowable stress=7MPA S420: Allowable stress=220 MPa A, n=15Details of a rectangular column are as follows: Column width along X-axis-250 mm Column Depth along the Y-axis-600 mm 8-25 mm diameter bars distributed equally along the longer sides. 10 mm diameter ties spaced at 10 mm on centers Concrete 28th day Compressive strength, fc;=20.7 MPa Reinforcing Steel yield strength, fy-415 MPa Assume that compression steel yields. a) Which of the following gives the nominal balanced load Pb (kN). A = 90.4 mm b) Which of the following gives the nominal axial load (kN) that the column n carry at an eccentricity of 200 mm along the X axis from the centroidal Y-axis.Note: please use set B data W 2° Me A B C * 4 m 2 m The cantilever beam above is made up of concrete with E= 70 MPa, refer to the table below for the properties and loads for the beam: PROPERTIES LOADS SET h (mm) w (kN/m) Mb (kN-m) b (mm) 300 500 20 40 A (1,3,5,7,9) 400 15 45 B (2,4,6,8,0) 250 Using area moment method, determine the following: Moment reaction at A. MA