3. ACTIVITY NO. 4- SHEAR AND MOMENT DIAGRAMS 25kN-m 10kN/m 1m 1m 3m 2m
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- A beam is shown with a distributed loading force 3 kN. Determine an equation for the shear force and bending moment as a function of the distance □ from its mounting point at B. Plot the functions from 0 < <3 and determine the magnitude of the maximum value in that interval. 3kN T A B [ V(x) L 3 KN. (Hand written and clean writing please )Verify whether the system of forces shown can be replaced by a single equivalent force. If it can be replaced determine the point where the line of action of the single equivalent force intersects with the xz-plane. Note: If the system cannot be simplified into a single equivalent force system, write CS (Cannot be Simplified) into the answer box. y A 12 kN 30 kN B 18 kN 300 mm 18 kN 30 kN 500 mm 400 mm D 16 kNPortal Method: Analyze the building frame shown by the portal method, and answer the following questions A, B, C, and D. Round off the answer [with correct units] to the nearest whole number. 60KN 6m A 120KN 6m B 144KN 8m D 10m 12m 10m QA, what is the bending moment of beam A?| QB. What is the axial force of beam C? QC. What is the shear force of column B? QD. What is the bending moment of column D?
- Which among the following is the equation of the elastic curve for a simply-supported beam of length L, modulus of elasticity E, moment of inertia I, and a concentrated force at midspan? a. El y(x) = p*³ - P 6. 3_ PL?x 48 x³ 3 b. El y(x) = P– P 3 PL?x 12 6 48 c. El y(x) = P PL2x 12 6 48 (x x3 d. El y(x) = P PL?x 48 O a. Equation A O b. Equation C Equation B O d. Equation Da beam is loaded as indicateda) write the shear and bending moment distributions (functions)b) Draw their shear and moment diagramsUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-3 ft, b-7ft, c-4 ft and w-12.5 kips/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. a Answers: B (a) V- i (b) V- i (c) V = i (d) V- i b W Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i.e., just to the right of support A) (b)x= 3 ft С (c) x = 10-ft (i.e., just to the left of support C) (d) x = 10+ ft (i.e., just to the right of support C) When entering your answers, use the shear force sign convention. X kips. kips. kips. kips.
- The system shown is in static equilibrium and motionless. Pulley-E and Pulley-F are ideal. NOTE: Submitted responses shall be to 4 significant figures. Do NOT use scientific notation. o Additionally, angles will be reported with 2 decimal places. Find: 1. The magnitude of the internal force in the section of rope labeled as "1" is LB. 2. The magnitude of the internal force in the section of rope labeled as "4" is LB. 3. The magnitude of the internal force in the section of rope labeled as "3" is LB. 4. The magnitude of the internal force in the section of rope labeled as "5" is LB. 5. The magnitude of the angle O (theta) is -4 5 1 30° 3 2- A 120 lb B 150 lbQUESTION 4: LONG QUESTIONS Which of the following forces in the Figure below has the moment about point A equals 54 Nm, Anticlockwise ..? (NB. Each section represents 9 m"). NB. Elaborate on your answer in terms of calculations. 10N 8N 34 N15 12 26 NPart 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-2 ft, b-10 ft. c=2 ft and w=3.5 kips/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. Part 2 Answers: Ay= Answers: (a) V- i (b) V- i (c) V = i (d) V- i Part 3 a Calculate the reaction forces A, 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 Ax = 0, it has been omitted from the free-body diagram.) Part 4 a Answer: MB = i Answer: x = i B Part 5 B Save for Later eTextbook and Media b Determine the shear force acting at each of the following locations: (a) x-0+ ft (i.e., just to the right of support A) (b)x=2 ft (c) x = 12-ft (i.e., just to the left of support C) (d) x - 12+ ft (i.e., just to the right of support C) When entering your answers, use the shear…
- Questionl i. What is Structural mechanics? ii. Distinguish between Statics and Dynamics, clearly stating what laws form the basis of these concepts. iii. Using graphical method, add the following forces and show the magnitude and direction of the resultant force. Compare the resultant with the analytical method. a) 6N 90° to the positive y-axis b) 7N 40° from the x-axis, c) 816grams, d) 4N at 30° North of West. e) 5N at 20° from the negative y-axis. Question 2 Explain the following, use relevant sketches, diagrams and examples i. resultant force ii. parallelogram law of forces. iii.. Collinear forces iv. Coplaner forces v. Concurrent forces vi. Lami's theorem vii. Unit Vector viii. position vector. xi. Free Body Diagram x. Reactions at different support Question 3 i. With the aid of a diagram derive a mathematical expression for the magnitude and direction of the resultant force R, of two forces which can be represented by sides of a parallelogram. ii. Derive Lami's Theorem with the…Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-3 ft, b-7ft, c-4 ft and w-12.5 kips/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. a B Answers: b Consider the entire beam and determine: (a) M = i (b) M = i W C (a) the maximum positive bending moment. (b) the maximum negative bending moment. When entering your answers, use the bending moment sign convention. ·x kip-ft. kip-ft.Chapter 5, Section 5.2, Question 40 A 50-kN force acts at point D in the yz plane on the linkage. Use the cross product to compute the moment this force creates at a moment center at B. 1 m 2 m 3 m 50 kN 4.5 m C 45° 1.5 m D Round the answers to 3 significant digits. j+ k kN m MB = %3D Open Show Work Click if you would like to Show Work for this question: Oue