Plot the influence line for reaction MA of the beam (the unit force moves from A to B):
From figure
point load is at a distance x from the support
(-ve indicate hogging moment)
Equation of ILD for MA = -x
ie ILD for MA given by
Plot the influence line for reaction MA of the beam (the unit force moves from A...
Problem 2 - Derive in term of x the influence line functions at the supports and the shear force at point B, of the beam shown below. The unit load (L) moves from left to right of the beam. Hinge 8 ft
Problem 2 - Derive in term of x the influence line functions at the supports and the shear force at point B, of the beam shown below. The unit load (L) moves from left to right of the...
Draw the influence line for the vertical reaction at C for the following cantilever beam
TOPIC 04: Influence Line (IL) Problem 04 Given the 2-D beam structure [shown in Fiqure 81, with the following data: A moving concentrated (downward) force 1 Kip, which can travel the entire beam ABC (from A to C) Joint A is a FREE joint; Joint B is a PINNED support, and joint C is a ROLLER support; Joint C has a ROLLER support; Joint D is a FREE joint AB = 18" (notes: AD = 12" and DB-6"); BCz 12"...
(b) Draw the influence line for the moment at D for the beam in Figure Q3(b). El is constant. Plot numerical values every 9 ft 9 ft9t- 18 ft Figure Q3(b) Continous Beam
Sketch (qualitatively) the influence line for (a) the vertical reaction at C, (b) the moment at B, and (c) the shear at E. In each case, indicate on a sketch of the beam where a uniform distributed live load should be placed so as to cause a maximum positive value of the corresponding force/moment investigated. Assume the beam is fixed at F. Supports at A, C, and D are rockers (roller supports) E F 4 m iTm
Sketch (qualitatively) the...
1) Draw the influence lines for the reaction force at A, the shear force at C and the moment at C. Show all the values. faA 2m 2 m 2 m 2) The Beam of problem #1 is subjected to uniform dead load 0.8 kN/m and uniform live load of 2 kN/m and a single live concentrated force of 20 kN. Determine (a) the maximum reaction force at A, (b) the maximum positive shear at point C, and (c) the...
45. *Write a code that plots each of the reaction forces for the beam below: A0 a. Write equations in terms of the beam length, L, applied force, P, and angle of the applied force, B, for each of the reaction forces. b. Write a script in MATLAB that plots the difference forces for angles ranging from 0 to 90°. Assume the beam length remains constant at 10 feet and the applied force always has a magnitude of 15 kips....
Problem 1 Consider the cantilever beam shown below. This beam is loaded with a downward pointing point load that moves horizontally along the top of the beam. The position of the load from point A, the fixed point, is denoted by x. An influence line diagram showing the internal moment at point B as the load moves across the beam is also shown below 1 kip x, Position of load from Point A (ft) 24 Moment at Point B (kip-ft)/kip...
AP2: Beam AD is connected to a cable at C.: a) Draw the influence lines for the force in cable CE b) Draw the influence lines for the vertical reaction at support A c) Draw the influence lines for the moment at EB d) Determine the maximum absolute value of each response quantity from parts a) to c) if beam AD supports a 15-ton concentrated load and a movable/variable 1 kip/ft uniformly distributed live load. 6 4 43'