05. Determine the forces in members DE, DI, and Jl of the arched roof truss shown below. -4-6 6 44> 6→6→*4> 文大 | 100 kN D 75 kN 75 kN -25 kN- 3 25 kN МЕMBER FORCE (kN) DE F B DI JI K H 14 G Dimensions in meters
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- The simplest truss consists of two rods and is loaded by the block. Given: block weight Q = 9,4 kN. Angle α = 31 degrees. Find: the algebraic (positive or negative) value (in kN) of normal force N1 in the rod 1, considering that N1>0 for tension and N1<0 for compression.Find the support reacions and joint force of the construction shown on the figure, if; P=12 kN q=9 kN/m M=12 kN and L=2 mThe simplest truss consists of two rods and is loaded by the force F. Given: F = 5,1 kN. Angle α = 69 degrees. Find: the algebraic (positive or negative) value (in kN) of normal force N1 in the rod 1, considering that N1>0 for tension and N1<0 for compression.
- SITUATION 7: Three forces P1, P2, and P3 are acting on a semi-circular structure as shown in Fig. THA-33. Support at A is hinge and support at B is roller. Given: a = 1 m; P1 = 1.8 kN; P2 = 0.9 kN; P3 = 0.45 kN; θ = 30⁰; β = 45⁰. Calculate the resultant of the three forces (in kN). (Answer: 2.45) Calculate the vertical reaction at B (kN). (Answer: 1.06) Calculate the reaction at A. (Answer: 1.63)An aluminum pole for a street light weighs4600 N and supports an arm that weighs 660 N (seefigure). The center of gravity of the arm is 1.2 m from theaxis of the pole. A wind force of 300 N also acts in the (-y)direction at 9 m above the base. The outside diameter ofthe pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressivestresses σt and σc, respectively, in the pole (at its base)due to the weights and the wind force.The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.
- Compute the magnitudes of all forces acting on member CDE of the frame. answer: Pbc= 10.0 kips, Pbd= 20.0 kips, E= 19.70 kipsnonuniform beam 4.50 m long and weighing 1.40 kNmakes an angle of 25.0° below the horizontal. It is held in position bya frictionless pivot at its upper right end and by a cable 3.00 m fartherdown the beam and perpendicular to it . The center ofgravity of the beam is 2.00 m down the beam from the pivot. Lightingequipment exerts a 5.00 kN downward force on the lower left end ofthe beam. Find the tension T in the cable and the horizontal and verticalcomponents of the force exerted on the beam by the pivot. Start bysketching a free-body diagram of the beam.Q5: For the frame and loading shown in Fig.5, compute the horizontal and vertical component of all forces acting on its members. Sin. 10in ¥ l ]lfl;”l = e ; 6in. Fig.5
- A turbine is connected to a generator by means of flange coupling that has a bolt circle diameter of 20 in. The generator output is 40 Hp, 3600 rpm and 90% efficiency. If there are 10 bolts, determine the force acting on each bolt in kN.A uniform beam that 10-m long is being supported by two men, one man at each end. The weight of the beam. Is 100-N. If the first man supporting at the right side exert twice as much as the second man on the left, where must a 50-N motor be placed (measured from the first man) on top of the beam? Show complete solution.Consider a floor crane operated by a driver which carries a drum as shown in figure. The total weight of floor crane and driver is 2700 kg acting at the point of center of gravity, G. mm; = 1 = Considering L1 = 14m, L2= 3 m L3 - 6 m, 14 = 2 m LS = 1 m; L6=7m 1. If the weight of the drum lifted by the floor crane is 800 kg, determine the total normal reaction on the rear wheels at A and total normal reaction on the front wheels at B when the boom is inclined at an angle of 25" with the horizontal, 2. Utilizing the same data given above for the same position of boom, determine the largest weight of the drum that can be lifted without causing the crane to overturn. (Hint: When the floor crane tends to overturn about point B, the wheel at A will leave the ground). Note: 1. Consider the entire system as coplanar 2. Take g 9.81 m/s wherever necessary = 9 Total normal reaction on the rear wheels at A= Total normal reaction on the front wheels at B= Largest weight of the drum=