Determine the bending moment M in the beam at the point located L = 3.45 m to the left of point C. The ground reactions and shear-force diagram are shown.40.0 kN7.0 kN/mAB3 m12 m65.60 kN58.40 kN65.6065.6025,60@x=6.66 m-58.40O 170.9 kN-mO 118.8 kN-mO 129.1 kN-mO 222.0 kN-mO 159.8 kN-mUnits: kN

Problem is based on strength of material and can be solved as :

Answered: Determine the bending moment M in the…

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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A load of 100 kN, followed by another load of 50 kN, at a distance of 10 metres, advances across a girder with a 100-metre span. Obtain an expression for the maximum bending moment at a section of the girder at a distance of z metres from an abutment. Please provide solutions. Answer is z(140-1.5z) for z< (100/3)m;(100-z)(1.5z-5) for z>(100/3) m.
Draw the shear force and bending moment diagram for the loaded simply supported beam as shown below. Also, mark all salient points of shear force and bending moment values in the diagram with proper units. where F1=50 N, F2=50 N, F3=40 N/m, X1=4 m, X2=4 m, X3=4 m, X4=3 m, X5=4 m
The beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m? Use the area method
Draw the shearing-force and bending-moment diagrams for the following beams: 1. A cantilever of length 20 m carrying a load of 10 kN at a distance of 15 m from the supported end. 2. A cantilever of length 20 m carrying a load of 10 kN is uniformly distributed over the inner 15 m of its length. 3. A cantilever of length 12 m carrying a load of 8 kN, applied 5 m from the supported end, and a load of 2kNlm over its whole length.
Determine the bending moment acting at each of the following locations:(a) x = 13.5- ft (i.e., just to the left of point B)(b) x = 13.5+ ft(i.e., just to the right of point B)(c) x = 17.0 ft (i.e. at point C)(d) x = 23.0 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: (a) M = kips-ft (b) M = kips-ft (c) M = kips-ft (d) M = kips-ft Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg, and their respective locations, xmax, pos and xmax, neg. When entering your answers for the maximum bending moments, use the shear-force and bending-moment sign conventions detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value.Answers: Mmax, pos = kips-ft xmax, pos = ft Mmax,…
A semicircular rod of weight W and uniform cross section is supported as shown. Determine the bending moment at point J w hen 0=150°.Fig. P7.24
1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
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 ?
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.2 m, b = 4.4 m, c = 3 m, P = 16 kN, w = 34 kN/m, and Q = 26 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally:(a) Determine V and M in the beam at a point located 0.65 m to the right of B.(b) Determine V and M in the beam at a point located 1.40 m to the left of C.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
The beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m?
A shaft is made of a polymer having an elliptical cross section. If it resists an internal moment of M = 50 N # m, determine the maximum bending stress in the material (a) using the flexure formula, where Iz = 1 4 p(0.08 m)(0.04 m)3, (b) using integration. Sketch a three-dimensional view of the stress distribution acting over the cross-sectional area. Here Ix = 1 4 p(0.08 m)(0.04 m)3.
A loaded beam, 60 mm wide by 100 mm high and 6 m long, has the shear and moment diagrams as shown below. Determine (a) the magnitude, type and location of the maximum flexural stress (in MPa) (b) the stress (specify the type) in a fiber 30 mm from the top of the beam at a section 3.5 m from the left end. I = bh3/12

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