b) Calculate support reactions in A and C, remember the sign of the force. Reaction force at point A: x-direction: XA= N, y-direction: YA= Reaction force at point C: x-direction: Xc= N, y-direction: Yc=
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- Two rigid bars are connected to each other by two linearly elastic springs. Before loads are applied, the lengths or the springs are such, that the bars are parallel and the springs are without stress. (a) Derive a formula for the displacement E4at point 4 when the load P is applied at joint 3 and moment PL is applied at joint 1. as shown in the figure part a. (Assume that the bars rotate through very small angles under the action of load P.) (b) Repeat part (a) if a rotational spring, kr= kL2, is now added at joint 6. What is the ratio of the deflection d4 in the figure part a to that in the figure part b ?A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that LAB = 1900 mm, LBC = 3100 mm, W=200 mm, B0 = 30 mm, and H = 200 mm, h0=20 mm. Units: use N, mm, MPa as consistent units for all calculations.A wooden beam is loaded by a distributed load ww = 8 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that LABLAB = 2400 mm, LBCLBC = 2600 mm, WW=200 mm, B0B0 = 10 mm, and HH = 240 mm, h0h0=30 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance.
- A simply supported beam of a total length ll is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P=mgP=mg at the location of l1l1. Note that l1/l=l1/l= 0.65. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load PP.The round tapered brass bar, in Figure Q4, of length 500 mm is subjected to loads.Determine the change in length if E = 1×106kg/cm2A steel beam is simply supported at both ends and laterally loaded to bend it plastically, as shown in Figure Q3a(i). The cross section is hollow, and the beam dimensions are illustrated in Figure Qa (ii). Find the value of load P, Shape Factor, and Length of Plastic Lp when the critical section is in fully plastic condition if the steel acts elastic-perfectly plastic with a Yield Stress of 200 MPa.
- Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F1 = 35 kN and F2 = 65 kN act at points C and D, respectively. The distance AC is L1 = 2.25 m; the distance CD is L2 = 3.25 m; and the distance DB is L3 = 1.50 m. 1. Calculate the reactions RA and RB at points A & B. Give your answers in kilonewtons (kN) to two decimal places. 2. Draw the shear force diagram (SFD) for the beam in Figure Q3a and clearly label values at points A, B, C & D. Label your values in kilonewtons (kN) to two decimal places. 3. Draw the bending moment diagram (BMD) for the beam shown in Figure Q3a and label values at points A, B, C & D. Label your values in kilonewton metres (kNm) to two decimal places.A wooden beam is loaded by a concentrated load P=1000N and supported by boundary conditions shown in figure Q5(a). The cross-section of the beam is shown in Q5(b). Given that LAB=1600mm,LBC=3400,B0=10mm,B1=20mm, and H=230 mm,h0=150mm,h1=40mm, determine the following quantities belowCan you please show me how to do this question; A steel beam, of lengths a = 5 m and b = 2 m and a hollow box cross section, is supported by a hinge support A and roller support B, see Figure Q.1. The width and height of the cross section are 200 mm and 300 mm, respectively, and the wall thickness of the cross section is 5 mm. The beam is under a distributed load of the intensity that linearly varies from q = 0 kN/m to q = 5.1 kN/m for AB span; and is constant with q = 5.1 kN/m for BC span. The Young’s modulus of steel is 200 GPa. Calculate: a) the vertical support reaction in support A. When sketching FBD, set the positive directions of both reactions in the positive direction of y axis. Enter your answer in kN to three decimal places.
- A horizontal compound shaft AC is attached to a fixed wall at the point C and two torques T and 2T applied at the points A and B, respectively as shown by Figure Q4. The portion AB of the shaft is made of steel, having a diameter of 30 mm while portion BC is made of brass with a diameter of 50 mm. The elastic torsion moduli for steel and brass’s materials are given as 77 GPa and 37 GPa, respectively. The maximum allowable shear stress for the compound shaft is given as 150 MPa. 1. Draw the diagram of internal torque applied for each cross-section of the compound shaft 4.2. Determine the maximum allowable torque T 4.3. Calculate the maximum shear stresses induced in the portion with lower shear stress and provide graphical representations of the distribution of shear stress in the steel and brass shaft cross-sections. 4.4. Calculate the angle of twist at the point AA 5.15-N beam of uniform density is 1.70 m long. The beam is supported at an angle of 35.0° by a cable attached to one end. There is a pin through the other end of the beam (see figure below). Use the values given in the figure to find the tension in the cable. (Assume L = 1.70 m and d = 0.390 m.) Note: The answer is 2.51 N per the text. I would just like someone to help/show me how to get there. Thank you.Consider the beam shown in (Figure 1). Suppose that the distributed load intensities w1 = 60 lb/ft and w2 = 40 lb/ft . Follow the sign convention. Determine the internal normal force, shear force and moment at point C. Determine the internal normal force, shear force and moment at point D.