a) Find expressions for the shear force V and moment M at any point along the...
For the beam shown in Fig.3, q1= 10kN/m, Mo=15kN.m. a) Find all support reactions. b) Find the expressions for the shear force V and bending moment M. c) Draw the shear-force and bending-moment diagrams. Note that Mo acts at C, and dV/dx = -q, dM/dx = V Calculate (a) the maximum shear stress in each segment; (b) the angles of twist (in d at the mid-span of the larger segment. Given: r-Trllp Ti 91 T: Fig. 2 Fig. 3 q,-10...
For the beam shown in Fig.3, q1= 10kN/m, Mo=15kN.m. a) Find all support reactions. b) Find the expressions for the shear force V and bending moment M. c) Draw the shear-force and bending-moment diagrams. Note that Mo acts at C, and dV/dx = -q, dM/dx = V Calculate (a) the maximum shear stress in each segment; (b) the angles of twist (in d at the mid-span of the larger segment. Given: r-Trllp Ti 91 T: Fig. 2 Fig. 3 q,-10...
Consider the beam ABC of length L[m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P[N] at point B. You may assume the beam to be weightless in your analysis. P A B L/3 2L/3 Figure 1: Schematic of beam ABC. Part (a) [4 marks] Determine the vertical reaction forces at points A and C in terms of P. Part (b) [8 marks] Determine expressions (in terms of Pand L) for the...
Consider the beam ABC of length L [m] in Figure 1 below, with simple supports at both ends. The beam supports a concentrated load P [N] at point B. You may assume the beam to be weightless in your analysis. Figure 1: Schematic of beam ABC. Part (a) Determine the vertical reaction forces at points A and C in terms of P. Part (b) Determine expressions (in terms of P and L) for the shear force, V(x) and the bending...
For the beam below, construct expressions for the shear V (x) and the moment M(x) using free- body diagram of a cut structure. Answer: M(x) = M(x) = M* - (M*/L)x. For the beam below, construct expressions for the shear V(x) and the moment M(x) using free- body diagram of a cut structure. Answer: M(x) - M* (M*/L)x. 2. 0 ㄧㄨ
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments. (a) Find the location x and the corresponding bending moment M at the one point between A and B at which the shear force equals zero. (b) Consider the entire beam and determine the maximum positive...
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 7.0 kips/ft, a= 9.0 ft, and b= 20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions.Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by...
P2: Develop mathematical expressions to define the internal shear force, V(x), and internal bending moment, M(x), for the beam and loading shown. Provide plots of both V(x) and M(x) with all critical values properly labeled. 2 kip/ft 20 kip.ft|TIT 5ft—+ 5ft+ 5 ft —
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. For all answers entered, use the sign convention for shear forces and bending moments (a) Find the location x and the corresponding bending moment M at the one point between A and D at which the shear force equals zero. (b) Consider the entire beam and determine the...