AaBbCcDd AaBbCcDd AABBC( AaBbCcL Ad =。、田、 1 Normal 1 No Spac. Heading 1 Heading 2 Title Paragraph Styles 3.) For the beam shown, draw the shear and moment diagram, and state the maximum (positive or negative) moments and their locations. 2 kN/m 2 m 5 m 2.5 m

AaBbCcDd AaBbCcDd AABBC( AaBbCcL Ad =。、田、 1 Normal 1 No Spac. Heading 1 Heading 2 Title Paragraph Styles 3.) For the beam shown, draw the shear and moment diagram, and state the maximum (positive or negative) moments and their locations. 2 kN/m 2 m 5 m 2.5 m

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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Q1: For the beams and loading shown below, A- Draw the shear force and bending-moment diagrams. .. B- Determine the equations ofthe shear force and bending-moment curves for the segments (BC in Figure 1, C- Compute the bending stress at point (a) on section C D- Determine the values and locations of the maximum tensile and compression bending stresses. 230 mm Figure (1) 30 mm a 6 kN/m M=72 kN.m E 150 mm 10 mm A AB D 10 mm 2m 4m 1m 1m RE 10 mm
Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and the shear-force diagram are provided. M = 14 kN-m Ay = 3.54 KN Dy = 32.46 kN Units: KN Ay M 4m O 31.52 kN-m O 20.0 kN-m O 33.6 kN-m 23.2 kN-m O 26.1 kN-m B Ay 4 m 15 kN C A, 4 m A,-15 7 kN/m D 3 m 21 A₁-15 E X
50 kN *** w 1* 4 m 3 kN/m 5 75 kN 37° Draw the shear force diagram and the bending moment diagram for the anchor beam below.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 2.8 m, b = 5.6 m, c = 3.8 m, P = 20 kN, w = 45 kN/m, and Q-10 kN. A P B W b C X What is the maximum bending moment on the beam? Answer in kN-m rounded-off to 2 decimal places When entering your answers, use the bending moment sign convention. I
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 w = 20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. y A A Answers: By a = Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = O, it has been omitted from the free-body diagram.) = a i B Cy i = W B b W b kips X kips X
Construct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answer the questions. 1.2 kN/m W A Questions: Atx 1.1 m, V = W = w₁+kx² 1.9 kN/m 4.5 m x KN, M= i kN·m At x = 3.7 m, V = i KN, M= The absolute value of the maximum shear Vmax force is The absolute value of the maximum bending moment is Mmax i II kN·m KN x = r KN-m, x = r
For the problem shown below (left), W = 51 lbs while L1 = 4.4 inches and L2 = 12 inches. This results in the shear force diagram as shown on the right, where A, is the reaction force in the vertical direction at point A. Based on this shear diagram, what is the maximum moment in the portion of the horizontal beam from x = O to x = L1 in units of lb-in to two decimal places. (Be sure to use a negative sign to designate a negative moment if necessary.) A |--L1-——————— L2 Ay lb 0 -Ay lb W L1 L2 W -L1- BO L1- -X
Consider the beam in (Eigure 1). Take that P₁ = 11 kN and P₂ = 17 kN. Follow the sign convention. Determine the normal force, shear force, and moment at point C. Figure 1.5m 15 m 1.5 m 1.5 m 1 of 1 B € Part A Determine the normal force at point C. Express your answer to three significant figures and include the appropriate units. Ne= Value Submit Request Answer Part B HA Ve Value Submit Determine the shear force at point C. Express your answer to three significant figures and include the appropriate units. Part C Me= Submit Request Answer Units Value Determine the moment at point C. Express your answer to three significant figures and include the appropriate units. Request Answer Units ? Units ? ?
Q2: Draw the load and the bending moment diagrams that correspond to the given shear force diagrams in the figures below.[ V (kN) Figure (1) V (kN) Figure (2) 114 11 94 14 x (m) x(m) 2. 1.4 18 -66 V(kN) Figure (3) V Figure (4) (kN) | 20 2 3 - 2nd-degree curve x(m) x (m) 1* degree 2nd degree -16 3 -13
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 w=20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. "| Answers: By= Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…
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 w = 20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. y A a A a O B₁ B Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) W B b W b C C₂ X
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 w=20.0 kips/ft, a=6.0 ft, and b=20.5 ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. y A a A a O B₁ B Calculate the reaction forces By and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Bx = 0, it has been omitted from the free-body diagram.) W B b W b C C₂ X