What is the magnitude of the resultant of the applied forces Fr in kN. What is the angle between the resultant force Fr and the negative x axis( measured anti-clockwise from the negative x axis) in degrees.
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- Review Learning Goal: To use the vector cross product to calculate the moment produced by a force, or forces, about a specified point on a member. Part A - Moment due to a force specified by magnitude and endpoints The moment of a force F about the moment axis passing through O and perpendicular to the plane containing O and F can be expressed using the vector cross product, Mo =r x F. In a properly constructed Cartesian coordinate system, the vector cross product can be calculated using a matrix determinant: As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) The force has magnitude F = 180 N and is directed as shown. The dimensions are ¤1 = 0.350 m, x2 = 1.90 m, y1 = 2.30 m, and z1 = 1.20 m. What is the moment about the origin due to the applied force F? i j M =rx F =|rz k Express the individual components of the Cartesian vector to three significant figures, separated by commas. ry F F,…This question is made of two separate parts related to figures 1 and 2. 3 m a Figure 1 The support reaction at pin A along y-axis is The support reaction at roller B is 2 m in in B direction A| Figure 1 A beam AB is supported by a pin at A and a roller at B. The beam is subjected to force F of 450N, making an angle a-400 with horizontal as shown in figure 1. The support reaction at pin A along x-axis is to the direction L Figure 2 B 4 Figure 2 A beam AB of length L-1 m is supported by a pin at A and a cable BC at point B. The beam is subject to an external moment M-550 N.m at B as shown in figure 2. The force in cable BC is and it is in 3 С.F = F cos # F = F + F F F sin 8. # tan Exampie (1):Find the two components of the force (100 X) if: 0 = 30", 120 270° as shown in figure. F = 100 N F = 100 N 6=30 0 =120° 0 =270 0 = 30 0 =60 F = 100 N lution:
- Q4: If the cross section of the beam shown in the figure (3) below has bending stress of 28 MN/m² in the bottom surface, then determine the bending stress in the top surface. 100 mm top 100 mm bottom 25mm 25mm Figure (3) Activate Windows Go to Settings to activate WindoThe dimensions are of the graph are d1 = 7 cm , L1 = 6 m , d2 = 4.2 cm , and L2 = 5 m with applied loads F1 = 130 kN and F2 = 60 kN . The modulus of elasticity is E = 80 GPa . Use the following steps to find the deflection at point D. Point B is halfway between points A and C. What is the reaction force at A? Let a positive reaction force be to the right.The figure shows a cantilevered beam, subjected to a uniformly distributed (rectangular) 40 N/m force along the section DE, a 50 N point force at point C, and a 200 Nm couple moment. a. Write the shear-force and bending-moment equations as a function of distance, x, measured from the leftmost point, A, for the entire beam. b. Using your shear-force and bending-moment equations, calculate the shear force and bending moment at x = 2 m and x = 5 m. 200 N·m A 2.5 m 50 N CV D 1 m 40 N/m ↓↓↓ 2.5 m E B 2 m
- B) This plate (with mass, m=500kg) is supported by 3 vertical perpendicular cables attached at the given brown points. (See the 3-dim. figure). Calculate the 3 10 tension forces: F1=. F2=. F;= to 9) 15 16 12 13 14 6 7 8 9 10 11 1 2 3 4 5 2. 1force, the sign convention is same as that used in lectures and seminars). A simply supported beam is loaded as shown in the Figure. The corresponding SFD and BMD would be: 20 kN 10 kN/m 2 m 2 m 30 kN (a) 40 kN m 30 kN 30 kN 10 kN (b) 40 kN.m 10 kN 30 kN 30 kN Click Save and Submit to save and submit. Click Save All Answers to save all answvers.This question is made of two separate parts related to figures 1 and 2. 3 m a Figure 1 2 m in in B direction A| direction L Figure 1 A beam AB is supported by a pin at A and a roller at B. The beam is subjected to force F of 450N, making an angle a-400 with horizontal as shown in figure 1. The support reaction at pin A along x-axis is to the The support reaction at pin A along y-axis is The support reaction at roller B is Figure 2 B 4 Figure 2 A beam AB of length L-1 m is supported by a pin at A and a cable BC at point B. The beam is subject to an external moment M-550 N.m at B as shown in figure 2. The force in cable BC is and it is in 3 с.
- This question is made of two separate parts related to figures 1 and 2. 2 m F Figure 1 2 m in A direction L direction Figure 2 Figure 1 D A beam AB is supported by a pin at A and a roller at B. The beam is subjected to force F of 5 KN, making an angle a=400 with horizontal as shown in figure 1. The support reaction at pin A along x-axis is to the The support reaction at pin A along y-axis is The support reaction at roller B is M B Figure 2 A beams AB of length L-2 m is supported by a pin at A and a cable BC at point B. The beam is subject to an external moment M=200 N.m at B as shown in figure 2. The force in cable BC is and it is in1) Given the figure below, answer the following questions: a) What are the x and y components offorce F? (use Fx and Fy)b) What are the x and y components offorce P? (use Px and Py)(Hint: The x-y plane is differentfrom the true horizontal and verticalaxes)c) What are the vertical and horizontalcomponents of force F? (use Fh & Fv)d) What are the vertical and horizontalcomponents of force P? (use Ph & Pv)e) What is the magnitude of the resultant?f) What angle does the resultant make withthe horizontal axisg) What angle does the resultant makewith the inclined x-axis.Problem 4.61 Figure 15m 0.5m B 2.5 m 1 of 1 Part A Determine the magnitude of the moment of the force F = {50i- 21 j-80k} N about the base line AB of the tripod. (Figure 1) Express your answer to three significant figures and include the appropriate units. MAB= Submit μÀ Value Request Answer < Return to Assignment Units Provide Feedback ?