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Problem 1 The beam shown in Figure 1.1 is subjected to distributed load and a point load. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. q A X B Hinge За D Ꭰ Р 2a a a Figure 1.1: Compound beam subjected to various loads Take q = 250 lb/ft, P = 350 lb, a = 3 ft. с

Problem 1 The beam shown in Figure 1.1 is subjected to distributed load and a point load. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. q A X B Hinge За D Ꭰ Р 2a a a Figure 1.1: Compound beam subjected to various loads Take q = 250 lb/ft, P = 350 lb, a = 3 ft. с

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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This is a mechanics/statics problem involving finding internal reactions, V(x) and M(x). Please refer to image for details. I'm not sure about where to take cuts and how to formulate the equations as a function of x. For my support Reactions I got Ay = 1008.33 lb, By = 1416.67 lb and Cy = 175 lb. and for the first cut V(x) = 1008.33 -250(x) and M(x) = 1008.33x - 125x^2. I'm struggling with the equations for the 2nd and 3rd cut. 

Problem 1 The beam shown in Figure 1.1 is subjected to distributed load and a point load. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. q A X B Hinge За D Ꭰ Р 2a a a Figure 1.1: Compound beam subjected to various loads Take q = 250 lb/ft, P = 350 lb, a = 3 ft. с
Transcribed Image Text:Problem 1 The beam shown in Figure 1.1 is subjected to distributed load and a point load. a) Draw all necessary free-body diagrams using the method of sections and find symbolic functions for the internal shear force (V(x)) and bending moment (M(x)) due to the external forces where x is a horizontal coordinate along the length of the beam, measured from the most left support of the beam. Your expression(s) must allow to obtain internal reactions for 0≤x≤L, where L is the length of the beam. b) For each internal resultant loading, find the maximum and minimum values anywhere in the beam. q A X B Hinge За D Ꭰ Р 2a a a Figure 1.1: Compound beam subjected to various loads Take q = 250 lb/ft, P = 350 lb, a = 3 ft. с
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