The beam shown carries an ultimate load of 28.5 kN/m. The beam has a limited width of 275 mm and height 450 mm. Tension and compression reinforcement shall be placed at 65 mm from outer face. Determine the required tension and compression reinforcement at support and midspan of the beam. Use f'c-21 MPa and fy=280 MPa. 2m 4m 2m
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- A cantilever of rectangular section is 70 mm wide and 250 mm deep at the fixed end andtapers uniformly to 75 mm wide and 100 deep at the free end. The projecting length is1800 mm, and there is a load of 1800 N at the free end. Calculate the deflection of thefree end and the maximum bending stress. Take E = 14000 N/mm2. The cantilever is madeof timber.A rectangular beam has a width of 300mm and an effective depth of 537.50 mm to the centroid of tension steel bars. Tension reinforcement consists of 6 – 28mm dia in two rows, compression reinforcement consists of 2 – 22mm dia, fc’ = 27.6MPa, fy = 414.7MPa, d’ = 60mm, L = 4m, the Unit weight of concrete is 24.56kN/cu.m The ultimate moment capacity of the beam is _____kN.m.Calculate the ultimate moment capacity of the beam whose width is 400mm and effective depth, d = 700. The distance of the centroid of bars from the extreme concrete fiber is 80 mm. The compression steel area is 1953 mm2 and the tension steel area is 4,784 mm2. Use fy = 415 MPa and f’c = 34.5 MPa. Use the NSCP 2015.
- A cantilever beam AB of length L = 6.5 ft supportsa trapezoidal distributed load of peak intensity q,and minimum intensity q/2, that includes the weight ofthe beam (see figure). The beam is a steel W12 X14wide-flange shape (see Table F-1(a), Appendix F).Calculate the maximum permissible load q basedupon (a) an allowable bending stress σallow =18 ksiand (b) an allowable shear stress τallow = 7.5 ksi.Note: Obtain the moment of inertia and section modulusof the beam from Table F-1(a).Check the shear strength of an interior beam-column joint. The columns have 20 in. square cross-section, and 12ft clear height. The maximum probable moment strength of columns is (Mpr)ed. 520 ft-kips. The framing beams have the following geometry and reinforcement: Mpr = 345 ft-kips and Mpr = 213 ft-Kips; Top Bar = 5- #8 & Bot. Bar = 3 #8 Additional given data: fe= 4,000 psi; fy=60,000 psiUse WT230x26 Standard Steel Shape Assume: LAB=3m, LBC=1m, WAB=27kN/m, WBC=6kN/m, PC=15kN Determine: a) Maximum Tension (+) at any location along the beam b) Maximum Compression (-) at any location along the beam
- A horizontal tension member is to be constructed of two pieces of plastic gluedalong the incline pq at an angle of 30 deg with the horizontal. The allowable stresseson the glued joint in tension and shear are 5MPa and 3MPa respectively. Determinethe largest load P. Assume that the strength of the glued joint controls the design. Thecross-sectional area of the bar is 225 mm2.Situation 11. An overhang beam is loaded as shown below. The beam cross-section was built by attaching two (2) channels to a 9mm thick plate using 16mm rivets The property of the channel is given below: Depth, D=225 mm Flange Width, Bf=112.5 mm. Flange Thickness, tf=9mm Web Thickness, tw=9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of τ= 100 MPa on shear, for bearing, σb=200 MPa on single sheer, σb= 260MPa on double shear. 3. Determine the maximum allowable moment, M(all) in kn-m, base on the beam's cross-section. 4. Determine the location of the maximum moment on the beam in meters.Situation 11. An overhang beam is loaded as shown below. The beam cross-section was built by attaching two (2) channels to a 9mm thick plate using 16mm rivets The property of the channel is given below: Depth, D=225 mm Flange Width, Bf=112.5 mm. Flange Thickness, tf=9mm Web Thickness, tw=9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of τ= 100 MPa on shear, for bearing, σb=200 MPa on single sheer, σb= 260MPa on double shear. 7. Determine the maximum shearing stress on the beam in MPa. 8. Determine the flexural stress, In MPa, on the fiber 30mm above NA at distance 1m from A
- Situation 11. An overhang beam is loaded as shown below. The beam cross-section was built by attaching two (2) channels to a 9mm thick plate using 16mm rivets The property of the channel is given below: Depth, D=225 mm Flange Width, Bf=112.5 mm. Flange Thickness, tf=9mm Web Thickness, tw=9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of τ= 100 MPa on shear, for bearing, σb=200 MPa on single sheer, σb=260MPa on double shear. 1. Determine the location of centroid, y, from top of the beam in mm .Question (1): A rectangular beam has a width b = 400 mm, and effective depth d = 850 mm and a total height h = 900 mm. The beam is subjected to an ultimate moment Mu = 1500 kN.m and an ultimate shear force Vu = 700 kN. 1- ) Design the beam for flexure to calculate the required area of steel. 2-) Using stirrups Φ 10 mm ( No.10) diameter, calculate the required spacing (s) between the stirrups at the ultimate shear force section. For all questions, Use f’c= 28 MPa and Fy= 420 MPaSituation 11 An overhang beam is loaded as shown below. The beam cross-section was built by attaching two (2) channels to a 9mm thick plate using 16mm rivets The property of the channel is given below: Depth, D=225 mm Flange Width, B=112.5 mm. Flange Thickness, tf=9mm Web Thickness, tw9 mm The allowable flexural stress on the beam is 180 MPa. Rivets has a capacity of t 100 MPa on shear, for bearing, o.-200 MPa on single sheer, a-260MPa on double shear. 2. Determine the moment of inertia, I, of the section in mm^4.