The beam shown in Figure 2.1 is supported by a fixed support at point C and...
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The beam shown in Figure 2.1 is supported by a fixed support at point C and a roller at point A. It also has an internal hinge at point B. The beam supports a point load at point D, a moment at point A and a distributed load on segment BC, for which w = 2 kip/ft and w2 = 5 kip/ft. a. Calculate the support reactions at points A and C. b. Calculate the internal resultant loadings (normal and shear forces and bending moment) at points E and F, which lies in the middle between points A and D. 3 kip 10 kip. ft F -6 ft- D W hinge 6 ft B 4 ft4 ft- Figure 2.1: Compound beam E 18 4 2 -5--5-2- Dimensions in inches C c. The cross-section of the beam is shown in Figure 2.2. Calculate the vertical position of the centroid of the cross-section (designated with the letter C) with respect to the base of the cross section, and find the moment of inertia about a centroidal axis parallel to x. W x The beam shown in Figure 2.1 is supported by a fixed support at point C and a roller at point A. It also has an internal hinge at point B. The beam supports a point load at point D, a moment at point A and a distributed load on segment BC, for which w = 2 kip/ft and w2 = 5 kip/ft. a. Calculate the support reactions at points A and C. b. Calculate the internal resultant loadings (normal and shear forces and bending moment) at points E and F, which lies in the middle between points A and D. 3 kip 10 kip. ft F -6 ft- D W hinge 6 ft B 4 ft4 ft- Figure 2.1: Compound beam E 18 4 2 -5--5-2- Dimensions in inches C c. The cross-section of the beam is shown in Figure 2.2. Calculate the vertical position of the centroid of the cross-section (designated with the letter C) with respect to the base of the cross section, and find the moment of inertia about a centroidal axis parallel to x. W x
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