Answered: For the beam shown in the figure below,…

For the beam shown in the figure below, determine the equations of shear and bending moment along the beam then draw their diagrams.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.10P: A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum...

See similar textbooks

Related questions

Q: Solve the following problem i- Draw the complete shearing force and bending moment diagram for the…

Q: For the beam loaded as shown in figure determine the maximum moment.

Q: Calculate the vertical displacement and slope at point A in the system in the figure. (The bending…

A: Draw the section AB.

Q: Figure 4 shows a simply supported timber beam AB with 4.5 m long carrying the uniformly distributed…

Q: For the simply supported beam shown in the figure, point (C) may represent a point of contraflexure

Q: В C 3 m 3 m

Q: 2. Note the loaded beam shown in figure 2. Point A is at x = 0 m, point B is at point x = 6 m, and…

A: Given Data: The uniformly distributed load is w = 20 kN/m. The moment acting at point C is MC = 200…

Q: Consider the beam shown in (Figure 1). Suppose that w1 = 460 N/m , w2 = 230 N/m . Follow the sign…

Q: Calculate the shear stress of the beam in the figure at point “a”?

A: Moment of inertia of an area is defined as the product of area and the distances of its center from…

Q: A beam ABCDE is 5 m in length and loaded as shown in Figure Q3. Draw the S.F. and B.M. diagrams for…

Q: The cross-sectional dimensions of the beam shown in Figure are ro = 115 mm and ri = 95 mm. Given Mz…

A: Moment of inertia is given asI=π64D4-d4I=π642×1154-2×954I=73.39×106 mm4perpenficular distance…

Q: n Figure 4a, a beam is supported at A and C with a uniformly distributed load of 20 kN/m between A…

A: First we calculate the Reactions at A and C RA+RC=120kN Bending moment at C is zero for simply…

Q: For the beam shown in the figure, draw the shear and moment diagrams using the area method. Show all…

Q: A beam is loaded as shown in the below figure. Then the bending stress along the x-x line is 5 kN 2…

A: The formula for the bending stress is. MI=σyσ=MyI Here, M is bending moment, I is moment of inertia…

Q: For the beam shown in figure 2, (a) Draw the shear force and bending moment diagrams and determine…

A: Draw the free body diagram of the beam.

Q: Q: Find the value of W which can be applied to the beam shown in figure below. if the maximum…

Q: QB/ For a simple beam loaded as shown in Figure below. Write shear and moment equations for the beam…

Q: A simply supported beam subjected to three point loads as shown in the Figure force and bending…

A: Since the beam is symmetric, the reaction forces are equal in magnitude. From the vertical…

Q: For the beam shown in the figure below: (i) (ii) (iii) Determine all the support reactions. Draw the…

A: Given:- Beam with different loading and supports. C and E are hinges B, F, and G are roller A is pin…

Q: For the rod loaded as shown in figure, the maximum bending moment is 5 kN-m. AB=BC=CD= 1m. The value…

A: The bending moment due to force of 2 kN can be determined as,

Q: 7.0 kN/m 4m 16 m

A: given; ⇒reaction force at A=RA⇒reaction force at B=RB⇒load intensity (w)=7KN/m⇒AC=16m⇒BC=4m

Q: Draw shear force and bending moment diagrams for the beam and loading in the figure.

A: Let HA and VA be the horizontally forward and vertically upward reaction at support A respectively…

Q: 5. A solid rectangular beam is loaded as shown in Figure Q5a. The beam is pin-supported at B and…

Q: Draw the shear and moment diagrams for each beam shown in figure:

Q: (a) Figure 6 shows a beam of length 8 m, simply supported at each end, and loaded with a point load…

A: Given dataLength of the beam L = 8mPoint load P = 60kNUniformly distributed load UDL = 30kN/mLength…

Q: For the beam shown in figure below, draw the shear force and bending moment.

Q: In Problem 4 (above), what is the shear force in section AB. Also, draw and label the shear diagram…

A: Solving question no 5 only Pls, repost the question with a specified question to be solved. As per…

Q: beam ABCDE is 5 m in length and loaded as shown in Figure Q3. Draw the S.F. and B.M. diagrams for…

Q: 3W 2L

A: from the above diagram this is cantilever beam

Q: For the simply supported beam shown in the figure, if (q=30 KN/m) and (L=6m), then, the point of…

A: Consider the free body diagram of the beam as shown below. The distributed load can be assumed to…

Q: For the loaded beam shown in Figure Q6 below, consider section M-M and determine the following: 6.1…

Q: FIGURE PS-39 2.5 K/ft 2 ft 4ft 1. Compute the reactions at the supports using the tech- niques shown…

Q: Half of the beam section shown in the figure is made of aluminum (E) and the other half is made of…

Q: For the frame shown in the figure , the bending moment at Bequals

Q: Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for…

Q: simply supported beam in Figure below has a rectangular s section 120 mm wide and 200 mm high: 1.…

Q: Draw the shear and moment diagrams for each beam shown in figu

Q: 4) A simply-supported beam has a shear diagram shown in Figure 2. a) Draw the moment diagram based…

Q: For the beam loaded as shown in the following figure, draw shear force and bending moment diagram…

A: Force B can be converted into moment 5 KN-m in anticlockwise direction

Q: Q6 The simply supported beam in Figure below has circular cross section of 60 mm as shown in Figure…

A: In the given problem, we have to find maximum bending moment to find maximum bending stress and max…

Q: Draw shear force and bending moment diagrams for the beam and loading in the figure.

Q: For the beam loaded as shown in figure, the maximum bending moment will appear

A: Consider the element AB, Consider the element BC,

Q: Determine the Vmax and Mmax. Draw the shear and moment diagram of the loaded beam shown in the…

A: Consider horizontally forward & vertically upward force as (+)ve and vertically downward force…

Q: (a) Square Beam AB having the circular hollow cross-section as shown in Figure Qla and it is loaded…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: For the loaded beam shown in Figure Q6 below, consider section M-M and determine th following: The…

Q: Draw bending moment diagram for the loading shown in Figure Q15

Q: Draw the Shear Force and Bending Moment diagrams stating the important values

Q: The cross-sectional dimensions of the beam shown in Figure are ro = 115 mm and ri = 95 mm. Given Mz…

Q: For the beam shown in the figure below, determine the equation bending moment along the beam then…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

For the beam shown in the figure below, determine the equations of shear and
bending moment along the beam then draw their diagrams.
21(KN)
14
(EN)
7 (KN/m)
35(KN.im)
2.
4
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1.

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.
The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d/9 the top and bottom of the beam (see part b of the figure). For what values of d is the bending-moment capacity of the beam increased? For what values is it decreased?
The cross section of a channel beam with double flanges and constant thickness throughout the section is shown in the figure. Derive the following formula for the distance e from the centerline of the web to the shear center S:
A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable shear force K that may act on the beam if the allowable shear stress is 36 MPa. c
A beam of length L is designed to support a uniform load of intensity q (see figure). If the supports of the beam are placed at the ends, creating a simple beam, the maximum bending moment in the beam is qL2/8. However, if the supports of the beam are moved symmetrically toward the middle of the beam (as shown), the maximum bending moment is reduced. Determine the distance a between the supports so that the maximum bending moment in the beam has the smallest possible numerical value. Draw the shear-force and bending-moment diagrams for this condition. Repeat part (a) if the uniform load is replaced with a triangularly distributed load with peak intensity q0= q at mid-span (see Fig. b).
The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?
Draw the shear-force and bending-moment diagrams for a cantilever beam AB acted upon by two different load cases. A distributed load with linear variation and maximum intensity q0(see figure part a). A distributed load with parabolic variation and maximum intensity q0(see figure part b).
The cross section of a sandwich beam consisting of fiberglass faces and a lightweight plastic core is shown in the figure. The width b of the beam is 50 mm, the thickness I of the faces is 4 mm, and the height hcof the core is 92 mm (total height A = 100 mm). The moduli of elasticity are 75 GPa for the fiberglass and 1.2 GPa for the plastic. A bending moment M = 275 N · m acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.
A wood beam reinforced by an aluminum channel section is shown in the figure. The beam has a cross section of dimensions 150 mm x 250 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 M Pa and 38 M Pa, respectively, and if their moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam?
The cross section of an unbalanced wide-flange beam is shown in the figure. Derive the following formula for the distance /h from the centerline of one flange to the shear center S: h1t2b23ht1b13+t2b23 Also, check the formula for the special cases of a T-beam (b2= t2=0) and a balanced wide-flange beam (t2= ttand b2= ty).
.10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.
Derive the following formula for the distance e from the centerline of the wall to the shear center S for the hat section of constant thickness shown in the figure: Also, check the formula for the special case of a channel section (a = 0).