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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 MPaSteel Design Two channels having the given properties shown is placed at a distance of 300 mm to back and is properly connected by a pair of lacings as shown. Properties of one channel A = 5595 mm2 d = 305 mm x = 17mm Ix = 67.3 x 106 mm4 Iy = 2.12 x 106 mm4 rx = 19.3 mm Assume K = 1.0 Determine the safe axial load in kN, that the column section could carry. Unsupported height of column is 6m.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 .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.A rectangular post-tensioned prestressed beam has a width of 300mm, total depth of 600 mm, and a simply supported span of 12m. Grade 1860 stress relieved prestressing tendons are used with variable eccentricity. The total area of the tendons, subjected to an effective prestressing force of 637.5 KN, is equal to 650.3 sq.mm. Calculate and Draw the Tendon Profile. Use Eps = 186 MPa, fc’ = 35MPa, fci’ = 26MPa. R = 0.85 Assume that the maximum moment due to the uniformly distributed sustained service loads, including self weight, is 202.5 KN-m.A short rectangular column 300 mm on one side and 400 mm on the other side. It is reinforced with 8-20-mm-diameter (28) longhitudinal bars equally distributed to the shorte sides of the column. Use f'c = 21 MPa and fy = 415 MPa. Calculate the required spacing of 10-mm-diameter ties, s (mm). Calculate the nominal axial strength of the column, Pn (kN). Calculate the maximum ultimate axial load the column can carry, Pu (kN)
- 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: 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 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).An overhang beam is loaded as shown below. The beam cross-section was butlt 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 Thickness, t= 9mm Flange Width, B, -112.5 mm Web Thickness, t. -9 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 shear, a, =260MPa on double shear. 1. determine the location of centroid, ȳ, from top of the beam in mm 2. determine the moment of inertia, I, of the section in mm4 3. determine the maximum allowable moment, Mall, inkn-m, base on the beam's cross section.