Figure 3 represents a cantilever beam A, B, C, D, E clamped at point E and carrying various types of loads. A load of 10 kN as shown, is applied on the beam through a vertical lever DF of 1 m length rigidly attached to the beam. F 10 kN 60 4 kN 4 kN/m A 8 kN C 1 m D E 2 m 1m 1 m Determine and show the directions of all support reactions at point E Using the left free-end A as the origin of the horizontal coordinate of the sections, establish the equations for shear force (SF) and bending moment (BM) acting in each cross-section of the beam. Equations must be worked out and finalized to their standard forms. Plot the SF and BM diagrams for each cross-section of the beam. Each part of the diagrams must be supported by established SF and BM equations. A deviation from the correct relative layout of the configuration of the beam, SF and BM diagrams will be penalized. 1 m

Figure 3 represents a cantilever beam A, B, C, D, E clamped at point E and carrying various types of loads. A load of 10 kN as shown, is applied on the beam through a vertical lever DF of 1 m length rigidly attached to the beam. F 10 kN 60 4 kN 4 kN/m A 8 kN C 1 m D E 2 m 1m 1 m Determine and show the directions of all support reactions at point E Using the left free-end A as the origin of the horizontal coordinate of the sections, establish the equations for shear force (SF) and bending moment (BM) acting in each cross-section of the beam. Equations must be worked out and finalized to their standard forms. Plot the SF and BM diagrams for each cross-section of the beam. Each part of the diagrams must be supported by established SF and BM equations. A deviation from the correct relative layout of the configuration of the beam, SF and BM diagrams will be penalized. 1 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.3P: A fixed-end beam AB supports a uniform load of intensity q = 75 lb/ft acting over part of the span....

See similar textbooks

Similar questions

Example The beam ABC is loaded via a 500 N.m couple and a 600 N force as shown. The beam is connected to the rest of the system by a pin joint at B and a roller support at C. Detemine the magnitude of the reaction forces on the beam at the supports. 600 N 500 N.m 400 300 500 Ans. RC=1700 N RBx=1597.5N Dimensions in mm REDMI NOTE 9 PRO AI QUAD CAMERA RBy=1181.4 N
A triangular distributed load of max intensity w-490 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. Cc030 BY NC SA 2016 Eric Davishahl Variable Value 6.6 m 11.88 m 4.95 m a b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. с D The reaction at A is A = -12268 N. → The reaction at C' is = 11268 N. xi+ -3923 W' xi+ 8451 X
Determine the support reactions at the the fixed support, A. Neglect the weight and size of the beam. Given data: Distributed load W=50 N/m; Couple C=160 N-m; and the point load P-780 N acting inclined at an angle of 35 in degree with respect to horizontal. W (n/m) P C (N.m) 1.5 m 2 m 4 m Horizontal force component at A along x, AxD Horizontal force component at A along y, Ay= Moment component at A, Ma= N. m
Question 1: Equilibrium of rigid body The uniform beam AD, which is supported by pin at point A and by roller at point C, carries the loads as shown in the figure below. Neglecting the weight of the beam and considering the system to be at equilibrium, (a) draw the free body diagram of the system (b) determine the reactive force at point C (c) determine the reactive forces at point A. A 120 kN/m |--2m- 100 KN B 2 m 120 kN/m 2 m 130⁰ D 120 kN s]
The beam shown below is supported by rollers at A and B, and by a pin at C. If EI is constant over the length of the beam, find the reaction forces at A, B, and C. 15 kip AT 6 ft B_ 6 ft 12 ft 3 kip/ft C
QUESTION 1 In the beam below, the member is held in equilibrium with a pin at A and a cable at B. Force F has a value of 46 N. The distributed load has a uniform value w = 24 N/m. What is magnitude of the total reaction force at pin A in N? 2m *mm W A lm B F No 20°
2. The 5 m long beam AB has two types of distributed loads, and one concentrated load as shown. Find the reactions at each end. WDR = 160 N 1.0 m WDT = 200 N WOT, +2/3 m 300 N 200 N/m 80 N/m B A 1.00 m RB 2.00 m 2.00 m RA 3. The roof truss shown has its upper chord symmetrically loaded , with a single load at its lower chord. Find the end reactions R1 and R2. 4 kN 4 kN 4 kN 4 kN- 2, kN 4 kN 2 kN 4.50 m A 24 kN RA 6 kN Rc 6 panels @ 3 m 18 m
Problem 3: A bent beam ABCD is held in equilibrium by a roller at A and by a pinned connection at D. The beam supports a uniform distributed load (80 lb/ft) over section AB and a concentrated force (390 lb) at point C. The roller at A rests against an inclined surface that is oriented 30° from the horizontal direction. Neglect the weight and depth of the beam and the size of the roller in this analysis. (a) Draw a complete FBD of beam ABCD. Clearly label all loads, reactions, and distances. (b) Determine all reactions at A and D. 80 lb/ft 30°/ 8 ft B 4 ft D 390 lb 12/12 3 ft
Cantilever beam is loaded by two concentrated forces and a couple. F, M F2 4 Given: 11= 10cm; l 2 = 26cm; 1 3 = 19cm; F1 = -137N; F 2 = 120N; M= 246N m. Find: algebraical value of reactive moment (in N m) applied at fixed point (considering counterclockwise direction as positive and clockwise as negative). Answer:
The compound beam shown in (Eigure 1) is fixed at E and supported by a rocker at A and B. There are hinges (pins) at C and D. The 4-kN load is applied just to the right of the pin at D. Suppose that w = 5 kN/m. Figure 4 kN 6kN I. conf 1 of 1 -2m-2m-2m-3m- 3m ▼ Determine the y component of reaction at A. Express your answer to three significant figures and include the appropriate units. A₁ = Value Submit Part B B, = HA Submit Part C Request Answer Determine the y component of reaction at B. Express your answer to three significant figures and include the appropriate units. Value KN Request Answer ? KN ? Determine the component of reaction at E.. Express your answer to three significant figures and include the appropriate units.
A beam ABC rests on simple supports at points A and B and is supported by a cable at point C. The beam has total length 2L and supports a uniform load of intensity q. Prior to the application of the uniform load, there is no force in the cable nor is there any slack in the cable. When the uniform load is applied, the beam deflects downward at point Cand a tensile force I develops in the cable. Find the magnitude of this force. Cable A T A B C 000
From the double-end overhanging beam shown below, solve the reaction forces at the supports. 19 N 20 N 25 N 7N 25m DONT TYPE HERE