Q3.section as shown in Figure 3(b).The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channela)Determine the support reactions at A and F.b)Derive the expression, in terms of x, for the bending moment in the beam, for the region betweenA and C only; that is, for 0 < x < 2 m. Note: x = 0 at A.c)Draw the shear force diagram for the beam.d)Draw the bending moment diagram for the beam.e)Calculate the maximum normal stress around the centroidal x-axis for the beam.f)Calculate the second moment of area of the beam cross section about the centroidal x-axis.4kN2kN10KN/m1m1m2m1m1mFigure 3 (a): Beam under loadingу-аxis155 mm15 mm15 mm15 mim275 mm15 mm15 mm15 mm15 mmХ-ахis

According to the bartleby guidelines answering first three subparts only. Please repost for further…

Q3. The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel section as shown in Figure 3(b). a) Determine the support reactions at A and F. b) Derive the expression, in terms of x, for the bending moment in the beam, for the region between A and C only; that is, for 0 < x <2 m. Note: x = 0 at A. c) Draw the shear force diagram for the beam.

Q3. The beam shown in Figure 3(a) is pinned at A and has a roller support at F. The beam is a channel section as shown in Figure 3(b). a) Determine the support reactions at A and F. b) Derive the expression, in terms of x, for the bending moment in the beam, for the region between A and C only; that is, for 0 < x <2 m. Note: x = 0 at A. c) Draw the shear force diagram for the beam.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.3.8P: At a full d raw, an archer applies a pull of 130 N to the bowstring of the bow shown in the figure....

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6. Q1: For the beam Shown in Figure 1 (40 Points) 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B RBy, the bending moment at B, and the bending moment at C. B- A 2. Draw the shear force and bending 3m 2m 2m 3m moment diagram for the beam. Figure 1 Q2: (30 Points) For the simply supported beam with loading and cross section shown in Figure 2, determine the following: 1. The location of the centroid measured 10 kN 10 kN 100 from the top fiber in (mm). 2. The moment of inertia about the 50 centroidal x axis (mm“) 3. The maximum compressive stress in 0.6m 0.6 m 0.6 m 30 30 60 30, (MPa) 4. The maximum shear stress at the neutral axis in (MPa) All cross-section 5. The average shear stress on the section dimensions in mm (MPа) If the allowable stress in tension, compression, and shear are 4 MPa, 18 MP, and 12 MPa respectively. is this Figure 2 beam safe?
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b-6 ft and w=10.5 kips/ft. Calculate the reaction forces Ay 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 A, -0, it has been omitted from the free-body diagram.) Answer: (a) Vi (b) V = i (c) V- a Answers: A, kips, Cy Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i..., just to the right of support A) (b) x-9 ft (c)x=13ft When entering your answers, use the shear force sign convention. kips. kips. kips. b (a) M- (b) M- (c) M-i С Cy The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. Answer:x-i ft. kip-ft. kip-ft. kip-ft. kips. Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention.…
Q2: For the cantilever beam Shown in Figure 2 30 kN/m 20 kN.m D 1.5 m 1.5 m 2 m Figure 2 I. Find the reaction at fixed end RAy II. Find the reaction at the fixed end MA III. Find the shear force at B IV. Find the bending moment at C V. Draw the shear force and bending moment diagrams for the beam
Given the shear force diagram for a beam in the Figure for Question 1. Assuming there are no concentrated moments applied to the beam: a)Draw the load diagram corresponding to the given shear force diagrm. Identify the magnitude of all forces acting on the beamon the load diagram. b)Draw the bending moment diagram corresponding to the given shear force diagram. Indicate the values of moment on the moment diagram at points A, B, C, D, and E as indicated on the shear diagram.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 12 kips/ft.Calculate the reaction forces Ay 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.)Answers: Ay = kips, Cy = kips.
Q.4. Draw the load and bending moment diagrams that correspond to the given shear force diagram (figure 4). Assume no couples are applied to the beam.
3- Use Macaulay functions to determine the equation of the elastic curve of the beam. The beam has a flexural stiffness of El. What is the rotation of the beam at point C for the case of a = 2b? <<** a d* b P c↓
3-In the figure given below, P(load) and M(moment) effects from the mid point of the fixed beam from both sides. Find the displacement and reaction forces. y El L L MP ....
UNICARD Worksheet 10- Shear Force and Bending Moment Diagrams Question 3: (recommended time-30 minutes) Draw the shear force and bending moment diagrams for the beam given below. Determine the maximum bending moment in segment AB and its location from point A. Neglect the weight of the beam. Answer by following steps a to f, below. Ay 40 kN/m 20 kN B 150 kN·m 8 m 3 m a) Determine the support reactions at points A and B using the FBD of the entire beam. For OAx = 0 EM-0 +(By x8) (20 × 11)-(160 × 5,5)-150-0 By-152915 - (Ay +8) + (160 × 2,66)-150-60 = Ay 27.083 Ay Ax 5,3m 8m 160 20kN 150. b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,095 لاينا Segment SF 27,063 160 20 -5,3 Segment 152,915 Bending c) Express the shear force and bending moment as functions of x (the reference coordinate system is placed at point A) for segment AB and determine the shear force and bending moment at the points located…
For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 19.0 kips/ft, a=5.0 ft, and b=15.5 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. 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.) a b By |C, Answers: By = i kips Cy = i kips Determine the shear force acting at each of the following locations: (a) x = 5.0- ft (i.e., just to the left of support B) (b) x = 5.0+ ft (i.e., just to the right of support B) (c) x = 19.5 ft (d) x = 20.5- ft (i.e., just to the left of support C) Note that x = 0 at point A. When entering your answers, use the…
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a-9 ft, b=7 ft and w = 7.5 kips/ft. 21 Answers: Ay= W i a W B Calculate the reaction forces Ay 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.) 31 a b B b kips, Cy= C i C X Cy X kips.
For the beam shown in the figure,a) Determine the support reactions.b) Express shear force V and bending moment M as functions of arbitrary position x along the axis for part BC of the beam.c) Draw the shear force and bending moment diagrams of whole beam.