The plan view of a typical floor in a building frame is shown. Assuming that the load on the floor is 2 kN/m², compute (a) the loading on the beam A-B, (b) the loading on the beam C-D, and (c) the loading on the beam E-F.
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- A TIMBER BLOCK "B x B" mm SQUARE IS REINFORCED ON OPPOSITE SIDES BY A "B" mm AND 't' mm THICK STEEL PLATES. DETERMINE THE THICKNESS 't' SO THAT THE ASSEMBLY WILL SUPPORT AN AXIAL LOAD OF 1000 KN WITHOUT EXCEEDING A MAXIMUM TIMBER STRESS OF 12 MPa OR A MAXIMUM STRESS IN STEEL OF 350 MPa. MODULUS OF ELASTICITY OF STEEL AND TIMBER ARE 210 GPa & 7 GPa RESPECTIVELY. B t B t PROB 04Seatwork No. 11 whole yellow sheet of paper or bondpaper A rectangular beam having a 7-m simple span is to Support a superimposed dead load of 28 kN/m and a live lood of x. The unit weight of concrete is 24 kN/m² Consider only 1 layer of reinforcements at the tension Zone. Ise Pmax to compute your area of steel. Given fc-40 MPa fg 400 MPa X= ID. No. 1000≤x≤ 2000 424 - 1000 = 1424 N/m 3950 - 2000 = 1,950 N/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.
- Water tank Sth Floor Ath Floor 3rd Floor 2nd Floor 1st Floor Column C1 Ground Floor Figure la. (3D View) Secondary beam Column C1 Activate 1 Go to Settin Figure 1b. (Plan) 6.2 Span L" in metre Height (H1) in metre Live Load on the slab (kN/m2) WKN) E (Concrete) MPa E (Truss) GPa 3.135 7.68 28.00 276 186 Slab thickness in 'mm' 162 4814 Truss Area (mm2) Q2. Moment Distribution Method (Continuous Beam) For continuous beam CDEF. a) Find the degree of Indeterminacy. b) Using Moment Distribution Method, Draw B.M.D and S.F.D and find reactions at all supports.LL= \00 PSF DL= 60 PSF 20' ASD LOAD COMBO: TL= LL +DL 30' 5 EaUAL SPACES Delermine tolel unifum looding (wn) on beam Bl. BIDiscuss aboout Self-straining loads
- Wed 20 Apr 45% Stresses in Beams part 5 thi qar (5 of 6) Second Class Lecturer: Dr. Ali Al Asadi Example 3: The beam shown below has a cross section of channel shape with width b=300 mm and height h=80 mm, the web thickness is t=12 mm. Determine the maximum tensile and compressive stresses in the beam due to uniform load. 300mm 3.2 KN / m 80 mm -12 mm 3 m 1.5 m 14.4 KN EM, =0 B,x3-14.4x2.25=0 B=10.8 KN B F = 0 A A,+10.8-14.4=01. For the beams described below, determine the nominal capacity oMn Assume f'c = 4ksi fy = 60ksi Clear cover = 2 inches a) 3 No 6 Pmin=0.0033 Pmax=0.01806 b = 8in h=20in b) b=5in h=16in 4 No 3It is desired to remove the spike from the timber by applying force along its horizontal axis. An obstruction A prevents direct access, so that two forces, one 320 Ib and the other P, are applied by cables as shown. Compute the magnitude of P necessary to ensure a resultant T directed along the spike. Also find T. 6" 3" A 5" 320 lb Answers: P = i Ib T = i Ib
- It is desired to remove the spike from the timber by applying force along its horizontal axis. An obstruction A prevents direct access, so that two forces, one 500 lb and the other P, are applied by cables as shown. Compute the magnitude of P necessary to ensure a resultant T directed along the spike. Also find T. r 4" A 6" V 500 lb Answers: P= lb T= lb iWork Sheet No. I Example 1 A rectangular concrete beam of cross-scction 30 cm deep and 20 cm wide is prestressed by means of 15 wires of 5 mm diameter leeated 6 5 em from the bottom of the beam and 3 wires of diameter of 5 mm, 2.5 cm from the top. Assuming the prestress in the steel as 840 N/mm', calculate the stresses at the extreme libers of the mid-span section when the beam is supporting its own weight over a span of 6 m. If a uniformly distributed live load of 6kN/m in imposed, evaluate the maximum working stress in conLiete. The density of concrete is 24KN/m Clheck the alluwable stresses of ACI code 200 mm I 25 mm o 12 MPa fei= 33 MPa K- A 300 Answer Tas 65 mm The resultant working stresses đue to (self weight + prestress + LL) in the concrete =11.16 N/mm (compressive) and 1.16 N/mm (tensile)The uniformly distributed live load on the floor plan in the figure given below is 65 lb/ft². Consider the live load reduction if permitted by the ASCE standard. A (B) B2 G3 -6 @ 6.67' = 40- I B4 G4 B1 40' G1 C2 G2 C3 Establish the loading for girder G3. The loading (P) for girder G3 is [ B3 20' kips. (3) 2 @ 10' = 20' I+ 5 @ 8'=40'