PROBLEM 1. For the beam shown, draw the shear and moment diagrams by the Area Method and determine the maximum shear and moment values. Determine also the shear and moment values 5 m from the left end using the shear and moment diagrams. Show your computations. Support at A is a hinge and at B is a roller. paka 14 KN 20 kV-n

PROBLEM 1. For the beam shown, draw the shear and moment diagrams by the Area Method and determine the maximum shear and moment values. Determine also the shear and moment values 5 m from the left end using the shear and moment diagrams. Show your computations. Support at A is a hinge and at B is a roller. paka 14 KN 20 kV-n

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

See similar textbooks

Similar questions

SHEAR AND MOMENT DIAGRAM PROBLEM 2 Use the AREA method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. Label all significant points on each diagram and identify the maximum moments (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Determine the maximum shear force and bending moment in the beam. 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. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. The roller at point D indicates that motion is restricted both up and down, and the beam will not lift off the roller. a B W b C D X
Draw the simplified free-body diagram and below it the shear and bending moment diagrams. Show all necessary solutions. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, degree of all curves, and the maximum shear and maximum bending moment of the beam. Use the method of sections. Beam ABCD has a hanger connected at B and is supported by a roller at A and a pin at C. 100 N L1 This is not your own property so do not use it in any way as if it were your own. M L1= 206 N/m L2 = 30 N/m L3 = 214 N/m ° L4 = 89 N/m M = 89 N-m A Simplified of the you to repro 3. Any rexodus ers have Exploratory Distance x= L2 1.5 m Shear (N) D This is not your own property so do not use it in any way as if it were your own. 2.5m Bending Moment (N-m) L4 с L3
3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00
For the beams below, draw the shear and bending moment diagrams using both method of sections and area method. Determine the absolute maximum values of the shear and bending moment and indicate the degree of each curve. For problems 2 and 3, note that there are internal hinges at C and B, respectively. Problem 1 Problem 2 50 kN 40 kN/m 20 KN/m 50 Ib 50 kN 25 lb/ft 15 Ib/ft 200 kN-m 10 ft- 5 ft 5 ft -10 ft 5 ft - 100 kN 2 m--im -3 m- Answer: 140 kN Vmax Mmax = 462.5 kN-m Answer: Vmax Mmax = 4250 lb-ft 487.5 lb тах
Draw the shear and moment diagrams, then anwer the questions. The distancexis measured from point A to the right. Assume w = 300 Ib/ft, a = 2.6 ft, b = 2.7 ft. B Questions: Atx = 1.5 ft, V = Ib, M= Ib-ft Atx = 4.0 ft, V = i Ib, M= Ib-ft
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.
Q 1/ Draw the shear-force and bending-moment diagrams for the beam shown using the graphical method. Determine the maximum negative moment. Derive equations for the shear force V and the bending moment M for any location in the beam. 50 kN 40 kN/m 60 kN-m B 3m Im
For the given beam, draw the simplified free-body diagram and below it the shear and bending moment diagrams via method of sections. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, the degree of all curves, and the maximum shear and maximum bending moment of the beam. Note that P is applied perpendicular to the hanger attached at B. Show all necessary solutions. Let the analysis be from left to right. 102 KN 5m 43 kN B 43 KN 35 KN 3 m 1 m 4m 3m C D 3 m 31 kN 44 kN m
The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with intensity w = 140 N/m. The maximum positive and negative internal bending moments are critical factors in the design of the beam material and geometry. On your written homework draw a full free body diagram of the beam including all reaction forces. Directly under the free body diagram, draw a shear and bending moment diagram. Using your diagranms, determine the largest positive and negative internal bending moments that occur in the beam and the points along the length where each occurs. Take r = 0 to be at point A at the left edge of the beam. В -b- Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 2.60 m 3.77 m The maximum negative internal bending moment is N-m and occurs at a = m to the right of A. The maximum positive internal bending moment is N-m and occurs at x = m to the right of A.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 3.8 m, b = 7.6 m, c = 5.1 m, P = 11 kN, w = 41 kN/m, and Q = 29 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 0.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.15 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. В a b Answer: Vmax kN Mmax kN•m (a) Vx1= kN Mx1 = kN•m (b) Vx2 = kN Mx2 = kN•m
Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load. For your explanation section, complete a FBD of the other side of the beam from the version you did to solve the problem. 8 kip 40 kip · ft A to to D B- 8 ft 8 ft- -8 ft
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 a=4.00 m, b=5.25 m, c= 2.50 m, P = 26kN and M = 160kN-m. Construct the shear-force and bending-moment diagrams. Use the bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg.