1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distrib to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. (ans.: Ay = 10 kN; Ax = 0; MA = 20 kNm] %3D %3D %3D (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. 10 kN, M = 10x - 20 kNm; -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] [Ans.: A to B: Q %3D B to C: Q %3D (c) Plot the shear force and bending moment diagrams.

1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distrib to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. (ans.: Ay = 10 kN; Ax = 0; MA = 20 kNm] %3D %3D %3D (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. 10 kN, M = 10x - 20 kNm; -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] [Ans.: A to B: Q %3D B to C: Q %3D (c) Plot the shear force and bending moment diagrams.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.43P

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A gantry crane of weight W=100 Kg moves across a bridge with the length I=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles.
A gantry crane of weight W=100 Kg moves across a bridge with the length /=5 m. The front axle of the crane (which is nearer end A) carries 3/4W whereas the rear axle (nearer end B) carries 1/4 W. The distance of the axles is b = 1/20. Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your work (FBDs, calculation steps, etc on the handworked file) HINT: Determine the shear and bending moment equations along the beam. Assume only concentrated loads at the front and rear axles. So it’s wrong answer 1136 N can anyone how to solve for it different ?
Give the expression for the shear force, V = V(x), and the bending moment,M = M(x), as a function of the distance, x, measured from point A.Hint: Find the expressions of shear force and bending moment in each section:AB (0< x <4), BC (4 <x <7) and CD (7< x <10)
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12 - A) 31.8 NB) 51.8 NC) 11.8 ND) 71.8 NE) 91.8 N
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