Problem 2: Point loads A beam is loaded with a distributed load that has a total...
Figure below shows a transversely loaded beam with 1 (one) point load and a single uniformly distributed load (UDL). The beam is made of steel with Young's Modulus of 200 GPa and second moment of inertia is 0.005208 m4. (a) Find the reactions at points A and D. [10 marks] (b) Determine the slope at B. [5 marks] (c) and the displacement at D. [5 marks] 12N 2m
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa F- 8 kNN 8cm 3cm 3cm w- 6 kN/m 6cm 2cm Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and B in terms of Ro 2) Using the boundary conditions, calculate the...
Problem 2 Consider a simply supported symmetric I beam ABCD carrying a uniformly distributed load w and a concentrated load F as shown in Figure 2. Young's modulus of the beam is 200 GPa. F 8 kN 8cm 3cm 3cm 7 m 5 m 3 m 2cm W= 6 kN/m 6cm A D B 2cm 7TITT TITIT Figure 2 1) Replace the support C with the reaction force Rc, and using static equilibrium find the reactions at point A and...
4N Problem 6. The beam shown is loaded with a linear distributed load for the left half and a constant distributed load for the right. At the center a 4 N load is applied. 6 N/m a) Use equilibrium to find the shear and moment equations for the beam. b) Draw the shear and moment diagrams for the beam. c) Integrate your answers to find the deflection of the beam. Leave your final answer as a piecewise function. (IE can...
Figure 1 shows a beam is supported by a pin at A and a roller at C. The beam is subjected to point loads 30 kN and 60 kN and a uniformly distributed load of 24 kN/m. Modulus of elasticity, E and moment of inertia, I for all members are 205 kN/mm2 and 195 x 106 mm4, respectively. By using Virtual Work method, (a) determine the slope at B. (1.801 mrad) (b) determine the deflection at B and D. (2.4...
Q2. A simply supported beam AB (Figure 2) supports a uniformly distributed load of q = 18kN/m and a concentrated load of P = 23kN at the centre. Consider length of the beam, L = 3m, Young's modulus, E = 200GPa and moment of inertial, I = 30 x 10 mm-. Assume the deflection of the beam can be expressed by elastic curve equations of the form: y(x) = Ax4 + Bx3 + Cx2 + Dx + E. 1) Sketch...
The simply supported beam of length L is subjected to uniformly distributed load of w and a vertical point load P at its middle, as shown in Figure Q3. Both young's modulus and second moment of area of this structure are given as E and I. Please provide your answers in terms of letters w, P,L,1, E. Self-weight of the beam is neglected. P W L/2 L/2 Figure Q3 (a) Determine the reactions, bending moment equation along the beam and...
A loaded beam with a pin support at B and a rller support at C is shown in Figure 1. The applied loads on the beam are: an anti-clockwise point moment at A, a variably distributed load between B and C, and a clockwise point moment at D g kN/m f kNm h kN m A C 4 m 2 m 2 m Figure 1 The magnitude of the anti-clockwise point moment f in units of kN'm can be found...
A loaded beam with a pin support at B and a roller support at C is shown in Figure 1. The applied loads on the beam are: an anti-clockwise point moment at A, a variably distributed load between B and C, and a clockwise point moment at D. A loaded beam with a pin support at B and a roller support at C is shown in Figure 1. The applied loads on the beam are: an anti-clockwise point moment at...
In Appendix C, see the simply supported beam with a uniformly distributed load. Be careful with units and the sign convention. For this calculation, the overhung part of the beam from C to D can be ignored, and the beam is treated as a simply supported beam of length 2L1. Be careful with units and the sign convention. The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [ E = 200 GPa; I = 351...