the rectangular beam given in figure below has been designed for flexure; design the necessary shear reinforcement given that that beam is loaded by a uniformly distributed live load of 25 kN/m and a dead load (including self-weight) of 40 kN/m, take f. = 28 MPa, fyt %3D = 420 MPa, O 542 mm 600 mm 5020- -300 mm Face of Support 300 mm 7.0m
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- 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: 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 Determine the location of centroid, y, from top of the beam in mm Determine the moment of inertia, I, of the section in mm^4. Determine the maximum allowable moment, M(all) in kn-m, base on the beam's cross-section. Determine the location of the maximum moment on the beam in meters. Determine the maximum moment, in kN-m, on the beam Determine the maximum flexural stress on the beam in MPa.A reinforced concrete beam has a width of 400 mm and an effective depth of 600 mm. It is reinforced at the bottom with As = 4097 mm². The beam has a simple span of 7.3 m and carries a uniformly distributed service load of 43.8 kN/m live load and 23.4 kN/m dead load which includes its own weight fc' = 17.24 MPa, fy = 344.7 MPa. Use U = 1.2D + 1.6L, = 0.75 1. Which of the following gives the nominal shear strength of concrete considering the effect of moment at the critical section for shear. a. 206 b. 249 c. 235 d. 220 2. Which of the following gives the required spacing of 10 mm Ф stirrups. a. 200 mm b. 180 mm c. 190 mm d. 210 mm 3. Which of the following gives the max. spacing required. a. 251 mm b. 330 mm c. 340 mm d. 300 mm
- 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 ASituation 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 .
- A rectangular beam has the following properties: fc'=28MPa fy=270MPa b=300mm d=450mm As=4 of 36mm diameter bars Compute For: 1.) The magnitude of the ultimate moment capacity is Blank 1 kN.m 2.) If the fc' is reduced by 50%, the depth of the concrete stress block is Blank 1 mm.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, 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.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, 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. Determine the maximum flexural stress on the beam in MPa. Determine the maximum shearing stress on the beam in MPa.
- Q) Determine the elastic and plastic moment of resistance of the RC beam. The beam is a trapezoid in shape. B1 at top = 300mm, B2 at bottom = 500mm, total height = 600mm, height from top to the bottom of the steel reinforcement = 570mm, As = 1473mm^2, Fy=350MPa, Fcu=30MPa Solve this early I upvoteA 550mmx800mm column reinforced with 12 pcs of D20mm (3 bars each on outer ends). The column carries an ultimate load of 3500kN at an eccentricity 325mm. Assuming concrete strength and steel strength to be 25MPa and 420MPa respectively. Take clear cover to be 40mm and diameter of ties to be 10mm. Determine the balanced compression depth, mm. Determine the balanced moment, kN-m. What is the design strength, kN.Q) Determine the elastic and plastic moment of resistance of the RC beam. The beam is a trapezoid in shape. B1 at top = 300mm, B2 at bottom = 500mm, total height = 600mm, height from top to the bottom of the steel reinforcement = 570mm, As = 1473mm^2, Fy=350MPa, Fcu=30MPa Solve this early