PROBLEM 1: Given the overhang beam shown below and subjected to a downward force equal to 20 kN at B. The stiffiess of the beam is El 10 kN-m2 and that of the spring is k (note: F-kA). Determine...
Problem 6: The cantilever beam shown below has a constant El-10.000 kN·m2 and is subjected to a moment couple at B. Use the double integration method to compute the vertical deflection of the beam at free end A 100 kN-m 2 m
I need help with this problem. A cantilever beam is subjected to a linearly distributed load, with W, = 10 kN/m and to an inclined point load F equal to 20 kN, as shown in the figure. The length of the beam is L=10 m. Make a cut at distance x from the free end of the cantilever, as shown in the figure, and use the method of sections to derive expressions for the internal resultant loadings at the cross-section...
Q1. (20 pts) A simply supported beam is subjected to a concentrated load P 10 kN and an anticlockwise couple M 10kN m acting at the quarter point, as shown in Fig. Q1. Draw the shear and moment diagrams for this beam P 10kN M 10kN m F A m 2m m Fig. Q1
The beam is shown in the figure below. Use the slope-deflection method. The support Ais pinned, support B is a roller, and support C is fixed. Assume El = 21537 kNm2. The support at B settles by 73 mm (downwards). The segment AB is subjected to a uniformly distributed load w= 11 kN/m. The segment BC is subjected to a point load P = 91 KN. Enter the digit one in the answer box. The link will be provided on...
Problem 1 A simply supported beam of length L = 5m is subjected to a point load P= 20 kN at the mid span. Draw the shear force and bending moment diagram for the beam. If the beam is 300mm x 500mm, calculate the deflection at the midspan for the following orientations where the dashed line shows the bending axis. Explain the difference in results. Which orientation is better for beam performance and why? Take E = 30,000 MPa 300...
2. Determine the vertical deflection at point C of the beam shown in Figure 2 with the virtual work method. PE 10 kN 2 kN/m El constant E= 2x 105 MPa 1-1x10 mm Figure 2 2. Determine the vertical deflection at point C of the beam shown in Figure 2 with the virtual work method. PE 10 kN 2 kN/m El constant E= 2x 105 MPa 1-1x10 mm Figure 2
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...
Consider the two-beam system below. The beams are pin jointed at B and simply supported at their other ends at the base of the system). A spring of stiffness, k, connects the two beams to prevent the system collapsing. The unloaded length of the spring is h/2. A load of magnitude Pis applied at point B. } a. Using the method of virtual work, find the value of that keeps the system in equilibrium with the given geometry shown in...
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...
please draw and solve show every thing details “” Question 3 128 Marks 2 rectangular beam shown in the figure is subjected to a fluctuating axial force. It fluctuates between 5 kN and 15 kN keeping its direction. The beam is to be machined to the dimensions shown in the figure with a transvers hole of diameter d-14 mm/ Material of the beam is AISI 1040 CD steel (S-590 stress concentration factor as 2.2. K Pa, Sy 490 MPa). Take...