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- The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm t₁ = 14mm d = 110 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3028 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is lz= 325870000 mm². If the beam will be subjected to a shear force of V=245 kN, determine the shear stress at point H, located at y = 110 mm above the z centroidal axis. d H.V Answer: TH= x Z MPa Уи YK H KThe cantilever T- beam is loaded as shown in the figure. T 80 mm 40 kN/m NA 120 mm 2.0 m INa = 30x106 mm* What is the value of moment at the free end in kN.m?The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 14 mm d = 110 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3028 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 325870000 mm4. If the beam will be subjected to a shear force of V = 225 kN, determine the shear stress at point H, located at yH = 110 mm above the z centroidal axis.
- The bear cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 390 mm tw - 14 mm d = 100 mm t = 4.8 mm Additionally: • The area of each pipe is A = 1436 mm². • The moment of inertia of the entire bear cross section about the z centroidal axis is lz=140920000 mm². If the bearn will be subjected to a shear force of V = 170 kN, determine the shear stress at point H, located at y = 100 mm above the z centroidal axis.For the beam shown below, AC and BD have the same flexural rigidity equals to 4,000,000 lb.in². Compute the following: 1. The deflection at C. 2. The reaction at C. 100 lb/in L = 25 in B -20 in- с -20 in: DThe frame shown in Figure 3.1 has internal pins at points B, C and D and is supported by a pin at point A and a roller at point E. The loading consists of two concentrated loads and a point moment, as shown in the figure. b) Calculate the internal resultant loadings (normal and shear forces and bending moment) at the midpoints of segment CD and BD. A 6 in. B -9 -9 in. →✦9 in. →✦9 in. →| 500 lb 700 lb -9 in. D E Figure 3.1 - Compound Frame 2 kip-in 12 in. 12 in.
- A cantilever beam is 4m long with a EI = 20MNm^2. It has a point load of P=1kN at the free end and a u.d.l of q = 300N/m along its entire length. what is the reaction at A? what is the moment at A? Calculate the following at the free end slope and deflection23:01 The beam of negligible weight is supported by springs at point A and B. Spring A has a spring constant of k₁= 800 and N m N . Assume the A spring B has a spring constant of k₂= 1550 beam is horizontal and springs are unstretched when the distributed load is removed. K₁ wamap.org 0₁ Variable Value d₁ 2 m d₂ 2.5 m W₁ 600 N/m W₁ m K2 B B Values for the figure are given in the following table. Note the figure may not be to scale. a. Determine the magnitude of the force in spring A, FA.. b. Determine the magnitude of the force in spring B, FB.. c. Determine the streer in Spring A, A.The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 430 mm tw = 16 mm d = 110 mm t= 6.4 mm Additionally: • The area of each pipe is A = 2083 mm². • The moment of inertia of the entire beam cross section about the z centroidal axis is lz=241870000 mm4. If the beam will be subjected to a shear force of V=235 kN, determine the shear stress at point K, located at yk = 70 mm below the z centroidal axis. H H K Answer: TK = z MPa Уи Yk
- A beam assembly shown below is supported by a simple hinge and roller supports at A and C respectively. The 8-ft-long segment A-C (a = 4 ft) has a uniform cross section as shown in the figure, right (cross section at e-e). The beam assembly is subjected to a concentrated load (P = 3 kip) at point D, which is directly above point A. Take E = 31500 ksi. D e e R Cross section at e---e 46 3b b Ab 4b Figure 4: Simply supported beam with point load and cross-section If the maximum tensile and compressive bending stresses in the segment A-C cannot exceed ±100 ksi without failure, respectively, determine the smallest allowable dimension b in the segment cross section (see cross section at e-e above, which applies to the whole segment AC). Use F.S. = 2.The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h= 430 mm tw= 12 mm d= 110 mm t= 9.6 mm Additionallv: • The area of each pipe is A = 3028 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is I>= 320410000 mm4. If the beam will be subiected to a shear force of V = 110 kN, determine the shear stress at point K, located at yK = 70 mm below the z centroidal axis.The force in DB of the truss shown in below figure is W A C O VW tension 5m √3 W compression 2 W compression 5 W tension E D 2W 5m B