VWM - PROBLEM 4. Using the VIRTUAL WORK METHOD, and the value of El are E=200 GPa and I=18x10“ mm*. Determine the following unknowns for the prismatic cantilever beam shown below. A. The moment at the support in kN-m. B. The deflection at point B in meters. C. The deflection at point C in meters. D. The maximum deflection in meters. E. The rotation at the free-end in rad. 20 kN 30 kN/m A B D 5m 2m 2m

Q: We are given the beam shown in Fig. 4. The moment of inertia of member AB is two times bigger than…

A: E = 5000 ksi = 720000.00 ksf I = 1000 in4 = 0.0482 ft4

Q: Determine the deflection in mm in the direction of the load. The bar is 100 mm in diameter. Consider…

A: Consider the given figure and data E=200 GpaG=83 Gpad=100 mmF=200 N

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

A: Given:- E=113000 kip-ft2wo=2.0 kips/ftLAB=15 ftLBC=8 ft To find:- Slope at B Deflection at B

Q: Determine the deflection at the free end A, of the simply supported beam shown in Figure 2. Use the…

A: In the given beam, deflection at A has to be determined using Macaulay's method. EI =   5 MNm2.

Q: The 16 × 22 × 25-mm rubber blocks shown are used in a double U shear to isolate the vibration of a…

A: Downward deflection=7mm

Q: Consider the figure shown. Solve using double integration method. El is constant for the beam. A_…

A: Double integration method: Double integration method is one of the methods which is used to solve…

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.