Q: For the cantilever beam with uniformly distributed load shown in Figure find; a The maximum shear force in the beam in (kN) b. The maximum bending moment in the beam in (kN.m) c. The area of the section in (mm2)

Q: For the cantilever beam with uniformly distributed load shown in Figure find; a The maximum shear force in the beam in (kN) b. The maximum bending moment in the beam in (kN.m) c. The area of the section in (mm2)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.8.3P: A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are...

See similar textbooks

Related questions

Q: The figure below shows two solid homogenous rectangular beam sections with (breadth x depth)…

Q: A simply supported beam of length 30-in diamater 2-in is supported at A and D, subject to load P at…

Q: Problem The cross section and dimensions of a 8 m long asymmetric I-beam are shown in Figure 1.…

Q: Beam ABCD represents a reinforcedconcretefoundation beam that supports a uniformload of intensity q1…

A: Given Load, q1 = 3500 lb/ft Length, L = 14 ft Find Shear force VB and bending moment MB

Q: A loaded, simply supported beam and its cross-section are shown in the figures below. 5 kN/m 20 mm:…

A: Solution:

Q: Q3: Draw the shear force and bending moment diagrams for the loaded beam shown (see figure below). (…

A: Draw the free-body diagram of the beam.

Q: A simply supported beam ABCD is subjected to a linearly distributed load, with wo = 100 N/m, two…

Q: maximum shear stress and normal stress in the beams.

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: Q 2 : The cantilever beam in Figure carries a triangular load. The intensity of which varies at the…

Q: situation; a) Maximum normal stress

Q: Ex: For the T beam subjected to distributed load (W), shown in figure,, the beam material can resist…

Q: A simply supported beam ABC is loaded at theend of a bracket BDE (see figure). Draw…

A: Draw the free-body diagram of beam ABC.

Q: For the cantilever beam with uniformly distributed load shown in Figure find: d. The moment of…

A: Consider the given cantilever beam. Calculate the reaction at the fixed end. R=16 kN/m5 mR=80 kN…

Q: A cantilever beam AB, loaded by a uniformload and a concentrated load (see figure), is constructedof…

A: calculate the maximum bending moment for the cantiliver beam which accours at…

Q: A beam of length L=8.1 m is being designed to support a uniform load of intensity q = 9.7 kN/m. If…

A: Considering the beam, Let the center of the beam is at C, By symmetry bending moment at support is…

Q: 1. A cantilever beam supporting two concentrated loads at points A and B, is shown in Figure 1.…

Q: For simply supported beam below, find; Free body diagram and reaction forces Shear force value and…

A: i) Freebody Diagram and Reaction Forces: ΣMD = 0FA×7-15(1.5+2+2)-10(2)=0FA×7-102.5=0RA =14.64 KNΣFy…

Q: A uniform, horizontal beam of mass M 30 kg and length L its left end, as in the figure. The beam is…

A: Find the maximum mass of box.

Q: A cantilever beam of length L = 2 m supportsa load P = 8.0 kN (see figure). The beamis made of wood…

A: Consider a beam of rectangular cross-section having width b and depth h. Then, shear stress…

Q: Q: For the loaded simply supported beam shown in figure below, if the allowable bending stress is…

Q: Find the maximum transverse shear stress in the thin walled box beam shown in the figure below. This…

Q: A beam AB, 3 m long is hinged to a wall at end A and is supported by a tie rod DE which is hinged to…

A: Draw sketch of beam Determine angle of tie rod from horizontal

Q: 3-In the figure given below, P(load) and M(moment) effects from the mid point of the fixed beam from…

A: given data;load =Pmoment =MEI=constantlength of beam(l)=2Llets take reaction force at A=RA take…

Q: Ex: For a simple beam of length (L) subject to a concentrated load (P), shown in figure, Find : 1.…

A: Since, all the three parts are different question. And, as per the guidelines, I can solve only one…

Q: Q4/ For the beam shown in Fig.2, if the modulus of elasticity (E) equal to 200 GPa, by using Moment…

Q: For the cantilever beam with uniformly distributed load shown in Figure find: a. The maximum shear…

A: note: according to Bartleby guideline, we solve the first three-part of the question please repost…

Q: The beam AB shown in the figure is simplysupported at A and B and supported on a spring ofstiffness…

A: The displacement of a beam or node from its original position is referred to as deflection in…

Q: A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as…

Q: Q3/ The beam shown in figure(3). carrying triangle distributed load 20KN/m and concentrated load…

A: Drawing the free body diagram of the beam as shown below, The triangular load can be written as,…

Q: A cantilever beam of length 5m is loaded at the free end with a point load. The bending moment at…

A: Given data: The length of the beam is L = 5 m. The bending moment at the fixed end is M = 2.5 kN-m.…

Q: An indeterminate beam carries a distributed load and concentrated load as shown in the figure. Solve…

A: Solution: Location A, Moment Reaction =-544.8973 (kN-m) Location C, Moment Reaction =…

Q: A cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of…

A: Given that, P=8 kN,L=5 m,b=110 mm,h=190 mm Consider the cross-section of the beam as shown below,…

Q: A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed…

A: If the cross section has the dimensions stated and the moment of inertia about the z-axis is 3.10…

Q: Example A beam of I - section 400 mm deep and 180 mm wide has flange of thickness 20 mm each and web…

A: we will first draw the SFD of the beam and find out max shear stress. then we will find out max…

Q: Let's consider a simple supported beam subjected to a triangular distributed load and a couple…

A: Answer is M(x) = -83.3 X3 - 166.7 X ( N.m)

Q: Question 1) In the beam whose loading condition is given in the figure, F force F= 79 kN, w1…

Q: A steel beam ABC carries a concentrated load of P (kN) at B and C, as shown in Figure Q3(a). The…

A: Drawing the free body diagram as shown below, ∑Fy=0VA+VB=2P∑MA=0 P×10+P×15=VB×10VB=2.5P, VA=-0.5P…

Q: A simply supported beam hinged at A and supported at C, is carrying a distributed load and a point…

A: Note: Company policy does not allow to answer more than three subparts. So answer of first three…

Q: The Cantilever beam in Fig. 5, has a circular cross section (diameter 100 mm) (a)find the shear…

A: Given data, d = Diameter of the circular cross-section = 100 mm w = Intensity of the uniform load =…

Q: A cantilever beam with rectangular cross section is loaded as shown in figure. Plot the maximum…

A: given; load=Pwidth=bheight=hlength=L

Q: Figure 1 shows a cantilever beam ABC that is fixed at point A. It is subjected to a uniformly…

Q: Figure 3 below shows a 16 m length of beam with a pinned support at A and roller support at C. The…

A: 1) Free body diagram of the beam and calculation of reaction forces The free body diagram of the…

Q: ter of the beam must be at least how many mm so that the amount of collapse that will occur at point…

A: We will find out the deflection at B due to point load and moment and equate it with permissible…

Q: A tapered cantilever beam AB of length L hassquare cross sections and supports a concentratedload P…

A: hB = 3hA To-Find:- a) Magnitude σmax of the maximumbending stress b) Ratio of the maximumstress to…

Q: A composite beam consisting of fiberglass faces and a core of particle board has the cross section…

Q: The figure below shows two solid homogenous rectangular beam sections with (breadth x depth)…

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

Question

Q: For the cantilever beam with uniformly distributed load shown in Figure find;
a The maximum shear force in the beam in (kN)
b. The maximum bending moment in the beam in (kN.m)
c. The area of the section in (mm2)
d. The moment of inertia about the centroidal x axis
e. The maximum shear stress at section 1 in (MPa)
g. The maximum shear stress at section 2 (within the flange) in (MPa)
j. The maximum shear stress at section 2 (within the web) in (MPa)
t. The maximum shear stress at section 3 (at the neutral axis) in (MPa)
r. The average shear stress on the section (MPa)

Q2: For the cantilever beam with uniformly distributed load shown in Figure 2. Use the data
(bf hf,bw, hw) for the I section from Table 2, determine the following:
The maximum shear force in the beam in (kN)
The maximum bending moment in the beam in (kN.m)
The area of the section in (mm?)
The moment of inertia about the centroidal x axis
The maximum shear stress at section 1 in (MPa)
The maximum shear stress at section 2 (within the flange) in (MPa)
The maximum shear stress at section 2 (within the web) in (MPa)
The maximum shear stress at section 3 (at the neutral axis) in (MPa)
The average shear stress on the section (MPa)
16KN/m
sm
bf=82
hf=20 I
2 3
hw=30
hf=20 1
bw=20
H.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 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

A beam of square cross section (a = length of each side) is bent in the plane of a diagonal (see figure). By removing a small amount of material at the top and bottom corners, as shown by the shaded triangles in the figure, you can increase the section modulus and obtain a stronger beam, even though the area of the cross section is reduced. Determine the ratio ß defining the areas that should be removed in order to obtain the strongest cross section in bending. By what percent is the section modulus increased when the areas arc removed?
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
Cantilever beam AB carries an upward uniform load of intensity q1from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. Find q1in terms of q if the resulting moment at A is zero. Draw V and M diagrams for the case of both q and qtas applied loadings. Repeat part (a) for the case of an upward triangularly distributed load with peak intensity q0(see Fig. b). For part (b), find q0, instead of q1
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^ The shear force carried in the web and the ratio V^tV. Noie: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-3 Wide-flange shape, W 8 x 28 (see Table F-L Appendix F); V = 10 k
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^ The shear force carried in the web and the ratio V^tV. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-4 Dimensions of cross section: b = 220 mm, f = 12 mm, h = 600 mm, hx= 570 mm, and V = 200 kN.
At a full d raw, an archer applies a pull of 130 N to the bowstring of the bow shown in the figure. Determine the bending moment at the midpoint of the bow.
Beam ABCD represents a reinforced-concrete foundation beam that supports a uniform load of intensity q1= 3500 lb/ft (see figure). Assume that the soil pressure on the underside of the beam is uniformly distributed with intensity q2 Find the shear force VBand bending moment MBat point B. Find the shear force Vmand bending moment M at the midpoint of the beam.
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 composite beam consisting of fiberglass faces and a core of particle board has the cross section shown in the figure. The width of the beam is 2,0 in., the thickness of the faces is 0,10 in., and the thickness of the core is 0.50 in. The beam is subjected to a bending moment of 250 lb-in, acting about the - axis. Find the maximum bending stresses tr(and ctc in the faces and the core, respectively, if their respective moduli of elasticity are 4 x 106 psi and 1.5 x 106 psi.
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress t (obtained by dividing the shear force by the area of the web) and the ratio tmax/taver. The shear force Vweb/V carried in the web and the Vweb/V. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-1 Dimensions of cross section: b = 6 in,, ï = 0.5 in., h = 12 in,, A, = 10.5 in., and V = 30 k.
A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure). Beginning with the second-order differential equation of the deflection curve (the bendingmoment equation), determine all reactions of the beam and obtain the equation of the deflection curve for the left-hand half of the beam. Then construct the shear-force and bending-moment diagrams for the entire beam, labeling all critical ordinales. Also, draw the deflection curve for the entire beam.
-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force V. Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: The maximum shear stress tinixin the web. The minimum shear stress rmin in the web. The average shear stress raver (obtained by dividing the shear force by the area of the web) and the ratio i^/t^. The shear force i^/t^ carried in the web and the ratio V^tV. Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-6 Dimensions of cross section: b = 120 mm, a = 7 mm, h = 350 mm, hx= 330 mm, and K=60kN.