1.0OKN/m NA 387mm 21.Imm Web 150mm 398mm 6m S0mim Fig. P6. 1 Fig. P6. 2 6.2 For the cantilever beam shown in figure, find (1) the maximum bending stress and its locations and (2) the bending stress at a point 20mm from the top of the beam on section B. For the i

1.0OKN/m NA 387mm 21.Imm Web 150mm 398mm 6m S0mim Fig. P6. 1 Fig. P6. 2 6.2 For the cantilever beam shown in figure, find (1) the maximum bending stress and its locations and (2) the bending stress at a point 20mm from the top of the beam on section B. For the i

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 5.13.4P: A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h =...

See similar textbooks

Related questions

Q: 5.108 The overhanging beam carries concentrated loads of magnitudes Pand 2P. If the bending working…

A: Given Data: Tensile stress, 15 ksi Compressive stress, 18 ksi

Q: Draw the shear and bending-moment diagrams for the beam and loading shown and determine the…

Q: Q2: A simply supported beam AB has a length of 3 m and carries distributed load which varies in…

Q: Consider the beam shown. Suppose that w1 = 600 N/m , w2 = 300 N/m . Follow the sign convention. A)…

A: Consider the Free Body diagram: The load can be divided into a UDL and a UVL as shoen in the…

Q: A beam carries the loading shown in Fig. 4. Determine, (a) the smallest allowable width b of the…

A: Given dataUniformly distrbuted load UDL = 2kN/mPoint load P = 8kNTo determine 1] The smallest…

Q: A picture is taken of a man performing a pole vault, and the minimum radius of curvature of the pole…

A: Given, The radius of curvature = 4.5m = 4500 mm Diameter of pole = 40 mm Young’s Modulus = 131 GPa…

Q: An I section symmetrical beamhas 200mm wide flange and overall depth of 500mm. Each flange is 25mm…

A: Given data : maximum bending stress () = 40 MN/m2 thickness of flange(tf) = 25 mm thickness of web…

Q: A horizontal beam, simply supported at its ends, carries a load which varies uniformly from 15 kN/m…

A: Given Uniform load, w = 15 kN/m at one end to 60 kN/m at the other end Length, L =…

Q: A simply supported wood beam with a span of L=12 ft supports a uniformly distributed load w. The…

Q: 19. In a cantilever subjected to a combination of concentrated load, uniformly distributed load and…

A: Given, Cantilever beam is subjected to concentrated load, uniformly distributed load and uniformly…

Q: Situation - Wooden log is used to bridge a 2.5-m gap. The bridge will support a concentrated load of…

A: Length of the bridge, L= 2.5 m= 2500 mm Concentrated load, W=26 kN= 26000 N Allowable bending…

Q: 5.29 Knowing that P = Q = 480 N, determine (a) the distance a for which the absolute value of the…

A: Given:- From the diagram p = 480 N Q = 480 N Let RA and RD are…

Q: Given the following properties of bridge deck girder: Barrier Weight, BW = 7.3kN/m Future wearing…

A: Given the following properties of bridge deck girder: Barrier Weight, BW = 7.3kN/m Future wearing…

Q: Select the lightest-weight wide-flange beam from Appendix B that will safely support the loading…

A: Free-body diagram of beam is given as, On taking equilibrium of force in a vertical direction,…

Q: A 20 m long beam is simply supported at the left end and 5m from the right end. It is to be used as…

Q: .A steel simply supported beam 16 ft and 8 inches in length is subjected to a concentrated load of…

Q: Q2/ For the beam shown in Fig.2, determine the minimum width (b) of the steel plate that used in the…

A: We will have to get the equivalent section Ewood =16 GPa Esteel =200 GPa Esteel / Ewood =…

Q: 5.108 The overhanging beam carries concentrated loads of magnitudes P and 2P. If the bending working…

Q: Example 17.6 Detemine the shear flow distribution in the walls of the thin-walled closed section…

Q: The cross-sectional dimensions of a beam are shown. Assume a=30 mm, b=250 mm, tz=18 mm, t2=10 mm,…

Q: Part B - Determine Necessary Beam Width is generally less specific than the bending-moment…

Q: Q.5 For the cantilever beam shown below, calculate the maximum shear stress developed: P=150 kN B 5m…

A: Given: P=150 KN b=20 mm d=15 mm

Q: A simply supported wood beam with a span of L = 14 ft supports a uniformly distributed load w. The…

Q: times larger than in stee Q1) For the section shown aside, if the bending stress at point B is 225…

A: Given:- Bending stress at pont B, σB=225 MPaTo find:-Maximum bending stress, σmax

Q: A 12-m simply supported overhang beam is supported at x = 0 and x = 10m. The overhanging portion is…

Q: Targer than in steel shaft. Q1) For the section shown aside, if the bending stress at point B is 225…

Q: / Acantilever beam of length 4m cauries point Loads of 1 KN ,2KN and 3KN at 1,2 andam from the…

Q: - A circular shaft is subjected to a torque 'T and a bending moment M. The ratio of maximum shear…

A: Find the ratio of maximum shear stress to maximum bending stress.

Q: Cantilever beam carrying a distributed load with intensity varying from Wo at the free end to zero…

Q: Maximum Bending Moment: For the beam shown, determine the value of the maximum bending moment at…

Q: Simply supported beam of length 3 m, is subjected to an Uniformly distributed load of 28 kN/m for…

A: Given:

Q: Problem 4: Bending moment was determined to be 940 Ib-ft, at a beam's rectangular cross-section…

Q: 10 KN 8 ΚΝ 6 KN Design the beam if allowable shear stress of the beam is 1.80 MPa and allowable…

A: Let the reaction force at A and D be RA and RD . From force balance - RA+RD =10+8+6+5×5=49 kNTaking…

Q: 2000 500 1000 | 10' 10' 10' Find Shear & moment diagram for He beam Shown

A: draw the shear force and bending moment diagram.

Q: A Circular cross -Sectional beam of diameter 200 m, Simply Supported at both ends and loaded as…

Q: A simply supported wood beam with a span of L = 18 ft supports a uniformly distributed load w. The…

A: To find : determine the magnitude of the maximum load w. Given : lenght L=18ft beam height h=12 in…

Q: Straight 0.30 in. Diameter and 20 feet in length are often used as duct cleaning for an obstruction…

Q: P,= 400 P,= 400 RA 9,- 200 1------ -3(ft) -6(ft). -3(ft)-----------1 Draw the shear and moment…

Q: If a 10 in. x 16 in. sawn section (9.5 in. x 15.5 in.) has been selected as a trial beam based on…

Q: For the frane aud loading shown, find, at D, the (a) internal axial force F (6s internal shear force…

Q: A simply supported wood beam with a span of L = 11 ft supports a uniformly distributed load of w=840…

A: Given data: L=11 ftw=840 lb/ftσmax=1400 psihb=1.5 Need to determine the value of minimum width of…

Q: A cantilever timber beam with a span of L = 3.5 m supports a uniformly distributed load w. The beam…

A: To find: The magnitude of the maximum load carried by the beam. Given: The length of the beam is…

Q: A 16 ft steel line shaft has no bending action except its own weight. What power in hp can shaft…

Q: A laminated wood beam consists of eight 2.25 in. × 5.00-in. planks glued together to form a section…

A: ∑MA=0, (Taking moment about A)RB×19=W×19×192RB=W.192=9.5W∑Fy=0, RA+RB=W×19…

Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

100%

Question 6.2

33.3mm
Flange-
NA
W3EX 262
1.0kN/m
NA--
387mm
21.Imm
Web
C.
150mm
B.
2m
398mm
6m
S0mim
Fig. P6. 1
Fig. P6, 2
6.2 For the cantilever beam shown in figure, find (1) the maximum bending stress and its
location; and (2) the bending stress at a point 20mm from the top of the beam on section B.
For the bo

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 3 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 three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 X 82 with flange plates; beam 2 consists of a web plate with four angles; and beam 3 is constructed of 2 C shapes with flange plates. Which design has the largest moment capacity? Which has the largest shear capacity? Which is the most economical in bending? Which is the most economical in shear? Assume allowable stress values are: = 18 ksi and ra=11 ksi. The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering parts (c) and (d) above. Note: Obtain the dimensions and properties of all rolled shapes from tables in Appendix F.
A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension don each side) and E = 12 GPa. If the allowable bending stress in the wood is °aLLow =10MPa, what is the minimum required dimension
A simple beam ACE is constructed with square cross sections and a double taper (see figure). The depth of the beam at the supports is dAand at the midpoint is dc= 2d 4. Each half of the beam has length L. Thus, the depth and moment of inertia / at distance x from the left-hand end are, respectively, in which IAis the moment of inertia at end A of the beam. (These equations are valid for .x between 0 and L, that is, for the left-hand half of the beam.) Obtain equations for the slope and deflection of the left-hand half of the beam due to the uniform load. From the equations in part (a), obtain formulas for the angle of rotation 94at support A and the deflection Scat the midpoint.
An I section symmetrical beamhas 200mm wide flange and overall depth of 500mm. Each flange is 25mm thickand the web is 20mm thick. Determine the maximum bending moment that should be imposed in the sectionif the tensile or the compressive stressis not to exceed 40MN/m^2 and what percentage of the moment is resisted by flange or web?
The wood beam supports loads of w - 440 lb/ft and P - 840 lb on span lengths of Lap - 11.6 ft, Loc - 5.8 ft, and Lco- 5.8 ft. The beamcross section has dimensions of bj - 1.3 in., dj - 3.9 in., by - 4.8 in, and dy - 9.85 in. Determine the magnitude and location of:(a) the maximum horizontal shear stress in the beam.(b) the maximum tensile bending stress in the beam.
What is the minimum steel shear area (Av in sq.mm.) of a beam 300mm wide if fc'=21MPa and fy=340? let the spacing of stirrups be equal to 220mm Pls hand written solution
The steel beam has the cross section shown. The beam length is L = 6.7 m, and the cross-sectional dimensions are d = 390 mm, bf = 205 mm, tf = 14 mm, and tw = 10 mm. Calculate the largest intensity of distributed load w0 that can be supported by this beam if the allowable bending stress is 230 MPa.
What is the largest bending stress, Fb , for the beam cross-section shown when M= 1480k-ft and Ix=68101 in4?
A simply supported beam is subjected to a uniform service dead load of 1.2 kips/ft (including the weight of the beam), a uniform service live load of 1.8 kips/ft. The beam is 40 feet long, and it has continuous lateral support. If A992 steel is used, and the live load deflection must not exceed L/360, Is a W30 x 99 adequate? (for moment, shear, and deflection).
Calculate the maximum def lection δmaxof a uniformly loaded simple beam if the spanlength L = 2.0 m, the intensity of the uniform loadq =2.0 kN/m, and the maximum bending stressσ = 60 MPa.The cross section of the beam is square, and thematerial is aluminum having modulus of elasticityE = 70 GPa.