The beam in the figure above has a length L w 2m and is loaded with a distributed load (force per length) w(x) = 5(1-x²/L2) N/m. Find (a) the force applied on the beam and (b) the moment of the force about the left support.
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- The image below shows a beam subject to two couples, F1=650N and F2=810N. The dimensions are x1=1.50 m, x2=1.30 m, h=0.17 m, θ=41∘, and ϕ=30. What is the net moment on the beam due to the two couples?The forces in the figure are P=80 N, Q=110 N. Find the direction and intensity of the sum of moments of these two forces relative to point O.Consider the figure below where force P is applied at end A of the bar ABCD. 1. What is the magnitude of the moment of force P about point B? 2. What is the magnitude of the smallest force Q that can be applied at A to produce the same moment about B as the original force P?
- Find the moment of the Force P in the figure relative to the axis AD in terms of unit vectors.consider a beam shown in the attached figure express the internal moment in the beam as a function of x for 0 < x < L/3. express answer in terms of some or all variables x, w0 and L.A 20.0-m-long uniform beam weighing 560 N rests on walls A and B, as shown in the figure (Figure 1). a) Find the maximum weight of a person who can walk to the extreme end D without tipping the beam. b) Find the forces that the walls A and B exert on the beam when the person is standing at D c) Find the forces that the walls A and B exert on the beam when the person is standing at a point 2.8 m to the right of B. d) Find the forces that the walls A and B exert on the beam when the person is standing 1.5 m to the right of A.
- A force F1= 2i – 6k {kN) is applied at the position 3j + 5k {m}, meanwhile another force F2 = - i + 4j + 7k {kN) is applied at the position 8k {m}, on a structure. Evaluate the resultant moment by vector calculationA traffic signal is shown in the figure below. There are two traffic lights A and B, attached to a 5m long overhang at a height of 6m from ground. The weight of each light is given to be 100N. Due to heavy winds there is a net force of 20N on each light acting along the z direction. Approximate the curved overhang by a straight line and determine the moment acting at the ground support G due to these forces.Draw the shear force diagram and bending moment diagram for the loaded cantilever beam as shown in figure. Mark all salient point in the diagram. Neglect the self-weight of the beam. Where P=4m, Q=3m, R=4m, S=9m, F1=5 N, U=10N/m, F2=40N, (i) The reaction at A (unit is in N) = ___________ (ii)Shear force at "A" (Unit is in N) =_______________ (iii)Shear force at "B" (Unit is in N) =_______________ (iii)Shear force at "B" (Unit is in N) =_______________ (v) Shear force at "D" (Unit is in N) =_______________ (vi) Shear force at "E" (Unit is in N) =_______________ (vii) Bending moment at "E" (unit is Nm) = __________ (viii) Bending moment at "D" (unit is Nm) = __________ (ix) Bending moment at "C" (unit is Nm) = __________ (x) Bending moment at "B" (unit is Nm) = __________ (xi) Bending moment at "A" (unit is Nm) = __________
- In the given figure below, a tube was supported at A and E by with a ball and socket and a wire at D connected to F. Determine the following given the Force F is equal to 656.46 N. X_b : 218.078 mm X_c : 451.531 mm Y_a : 215.719 mm Z_e : 163.433 mm Z_f : 463.933 mm 1. Determine the x, y and z-component of Vector DF 2. Determine the moment experienced by the system assuming that there is no wire support 3. Determine the x, y and z-component of the moment experienced by the system assuming that there is no wire support 4. Determine the Tension experienced by wire DF 5. Determine the x, y and z-component of the Tension experienced by wire DF.A member is loaded with force system as shown in figure. Find the Moment about A , B, C, D and E Where F1= 70 N, F2 =55 N, F3 =10 N, F4 =20 N, F5 =45 N, AB =110 m, Point C is in the mid of AE, CD = 35m, AE =90 m. the angle ϴ =45 (Enter only the values in the boxes provided) iv) The moment about the point 'D' (unit in Nm) , MD = (v) The moment about the point 'E'(unit in Nm) , ME =The converging forces are shown in the figure below