(b) Using the provided data: cross-section width w= 12 mm, cross-section hight h=98 mm, ● length of the beam L = 3 m, • beam material's Young's modulus Q =209 GPa, applied bending moment MB = 14 kN.m The value of the deflection at Point B caused by MB (Part I) can be calculated as (c) Based on the given values of dimensions and material parameters, the value of R can be calculated as KN; the value of the vertical reaction force at Support A can be calculated as the value of the horizontal reaction force at Support A can be calculated as the absolute value of the reaction moment at Support A can be calculated as kN; KN kN.m

(b) Using the provided data: cross-section width w= 12 mm, cross-section hight h=98 mm, ● length of the beam L = 3 m, • beam material's Young's modulus Q =209 GPa, applied bending moment MB = 14 kN.m The value of the deflection at Point B caused by MB (Part I) can be calculated as (c) Based on the given values of dimensions and material parameters, the value of R can be calculated as KN; the value of the vertical reaction force at Support A can be calculated as the value of the horizontal reaction force at Support A can be calculated as the absolute value of the reaction moment at Support A can be calculated as kN; KN kN.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

See similar textbooks

Similar questions

A propped cantilever beam is loaded by a bending moment of the magnitude M_B at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight ℎ that are constant along the length of the beam L. The beam material’s Young’s modulus is Q. Assuming the positive deflections and positive vertical reaction forces are upward, calculate the value of the reaction forces at points A and B the absolute value of the reaction bending moment at point A A) Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by M_B ; Part II- the deflection caused by R Please treat R, w, h , L , E as variables in this step , the mathematical equation for the deflection at Point B caused by R ( Part II) can be written as: b) Using the provided data: cross-section width w = 14 mm, cross-section hight h = 82…
Q1: For the beam Shown in Figure 1 16kN 4kN/m 4kN/m .A C B 3m 2m 2m 3m Figure 1 I. Find the reaction at support A RAy II. Find the reaction at support B RBy III. Find the bending moment at A IV. Find the bending moment at C V. Find the maximum absolute value of the shear force in the beam VI. Draw the shear force and bending moment diagram for the beam
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?
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
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.
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.…
Mechanics of deformable bodies: shear and moment diagram in beams. From the given figures below, draw the shear and moment diagram of the beam. Its either using the shear and moment diagram or area method. Please show the solving solution also.
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-3.25 m, b=4.75 m, Pg - 35kN, and Pc = 80kN. 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 Ay- 58.66 - Dy- Calculate the reaction forces A, and Dy 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: a 56.33 (a) V= (b) V- (c) V- B i i PB B kN с kN C Determine the shear force acting at each of the following locations: (a) x-2m (b)x - 4 m (c) x-8 m Note that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. 3 3 3 KN D b kN D ·x Dy
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. a A B a W 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.) B b b X C X
The figure below shows the cross-section of an axisymmetric composite beam that comprises steel (Young's modulus 270 GPa) and aluminum (Young's modulus 90 GPa) sections that are bonded together. The steel section is of wall thickness 15 mm and the aluminum section is of wall thickness 10mm. The steel section comprises 4 axisymmetric holes of 5 mm diameter as shown. Given that the beam is bent by a couple moment of 1200 Nm, determine the maximum stress in steel and aluminum. 4 holes of diameter 5 mm. 12 mm steel aluminum
This question is made of two separate parts related to figures 1 and 2. 3 m a Figure 1 2 m in in B direction A| direction L Figure 1 A beam AB is supported by a pin at A and a roller at B. The beam is subjected to force F of 450N, making an angle a-400 with horizontal as shown in figure 1. The support reaction at pin A along x-axis is to the The support reaction at pin A along y-axis is The support reaction at roller B is Figure 2 B 4 Figure 2 A beam AB of length L-1 m is supported by a pin at A and a cable BC at point B. The beam is subject to an external moment M-550 N.m at B as shown in figure 2. The force in cable BC is and it is in 3 с.
A thin beam with a solid rectangular cross-section is loaded as shown in Figure Q7 below. L/3 L/3 L/3 Figure Q7 Consider the following statoments and select which combination correctly describes the bending moment diagram for this beam, along its longth using the sign conventions provided in lectures. i lt is symmetrical. ii It has a value of zero at the mid-point. i. It has a negative value for the entire length of the beam. iv. It is described by a quadratic (2nd order) function. O ali and i. are both correct. Ob.li. and iv. are both correct. Oci. and i. are both correct. Od.i. and iv. are both correct. Oe. li. and iv. are both correct. O. None of the provided answers are correct. OBi and i. are both correct.