Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 5, Problem 5.10.12P
The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm, and A, = 280 mm. The beam is subjected to a shear force V = 68 kN.
Determine the maximum shear stress tntijlin the web of the beam.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
The T-beam shown in the figure has cross-sectional dimensions: b = 200 mm, t = 17 mm, h = 300 mm, and h₁ = 280 mm.
The beam is subjected to a shear force V = 47 kN.
A
h₁ h
с
Determine the maximum shear stress max in the web of the beam. (Enter the magnitude in MPa. Assume that the shear
force acts parallel to the y-axis and is uniformly distributed across the thickness of the web.)
4.0654
Your response differs from the correct answer by more than 10%. Double check your calculations. MPa
For the beam shown in the figure, find the shear stress at a point 25 mm above thebottom of the beam at section C.
Q1) A beam has a loading system as shownin the figure below.
(1) draw the shear dia gram
(2) m om ent diagram
X
5 m
20 kN
30 kN
JI0 KN
-2m
4 m
LE
4 m
12 m
RA
With the same beam in ql computefor the second moment of area using the cross-section below.
consider the non-shaded region.
20 mm
200 mm
B
20 mm h=14O mm
300 mm
N.A.
20 mm
Chapter 5 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 5 - A steel wire with a diameter of d = 1/16 in. is...Ch. 5 - A copper wire having a diameter ofd = 4 mm is bent...Ch. 5 - A 4.75-in, outside diameter polyethylene pipe...Ch. 5 - A cantilever beam AB is loaded by a couple M0at...Ch. 5 - A thin strip of steel with a length of L =19 in....Ch. 5 - A bar of rectangular cross section is loaded and...Ch. 5 - A simply supported beam with a length L = 10 ft...Ch. 5 - A cantilever beam is subjected to a concentrated...Ch. 5 - A thin strip of hard copper (E = 16,000 ksi)...Ch. 5 - A steel wire (E = 200 GPa) of a diameter d = L25...
Ch. 5 - A thin, high-strength steel rule (E = 30 x 10ft...Ch. 5 - A simply supported wood beam AB with a span length...Ch. 5 - Beam ABC has simple supports at A and B and an...Ch. 5 - A simply supported beam is subjected to a in early...Ch. 5 - Each girder of the lift bridge (sec figure) is 180...Ch. 5 - A freight-car axle AS is loaded approximately as...Ch. 5 - A seesaw weighing 3 lb/ft of length is occupied by...Ch. 5 - During construction of a highway bridge, the main...Ch. 5 - The horizontal beam ABC of an oil-well pump has...Ch. 5 - A railroad tie (or sleeper) is subjected to two...Ch. 5 - A fiberglass pipe is lifted by a sling, as shown...Ch. 5 - A small dam of height h = 2.0 m is constructed of...Ch. 5 - Determine the maximum tensile stress (7, (due to...Ch. 5 - Determine the maximum bending stress emaxdue to...Ch. 5 - A simple beam A B of a span length L = 24 ft is...Ch. 5 - Determine the maximum tensile stress erand maximum...Ch. 5 - A cantilever beam A3, loaded by a uniform load and...Ch. 5 - A canti lever beam A B of a n isosceles t...Ch. 5 - A cantilever beam, a C12 x 30 section, is...Ch. 5 - A frame ABC travels horizontally with an...Ch. 5 - A beam ABC with an overhang from B to C supports a...Ch. 5 - A cantilever beam AB with a rectangular cross...Ch. 5 - A beam with a T-section is supported and loaded as...Ch. 5 - Consider the compound beam with segments AB and...Ch. 5 - A small dam of a height h = 6 ft is constructed of...Ch. 5 - A foot bridge on a hiking trail is constructed...Ch. 5 - A steel post (E=30×106) having thickness t = 1/8...Ch. 5 - Beam ABCDE has a moment release just right of...Ch. 5 - A simply supported wood beam having a span length...Ch. 5 - A simply supported beam (L = 4.5 m) must support...Ch. 5 - The cross section of a narrow-gage railway bridge...Ch. 5 - A fiberglass bracket A BCD with a solid circular...Ch. 5 - A cantilever beanie B is loaded by a uniform load...Ch. 5 - A simple beam of length L = 5 m carries a uniform...Ch. 5 - A simple beam AB is loaded as shown in the figure....Ch. 5 - A pontoon bridge (see figure) is constructed of...Ch. 5 - A floor system in a small building consists of...Ch. 5 - The wood joists supporting a plank Floor (see...Ch. 5 - A beam ABC with an overhang from B to C is...Ch. 5 - -12 A "trapeze bar" in a hospital room provides a...Ch. 5 - A two-axle carriage that is part of an over head...Ch. 5 - A cantilever beam AB with a circular cross section...Ch. 5 - A propped cantilever beam A BC (see figure) has a...Ch. 5 - A small balcony constructed of wood is supported...Ch. 5 - A beam having a cross section in the form of an un...Ch. 5 - A beam having a cross section in the form of a...Ch. 5 - Determine the ratios of the weights of four beams...Ch. 5 - Prob. 5.6.20PCh. 5 - A steel plate (called a cover ploie) having...Ch. 5 - A steel beam ABC is simply supported at A and...Ch. 5 - A retaining wall 6 ft high is constructed of...Ch. 5 - A retaining wall (Fig. a) is constructed using...Ch. 5 - A beam of square cross section (a = length of each...Ch. 5 - The cross section of a rectangular beam having a...Ch. 5 - A tapered cantilever beam A B of length L has...Ch. 5 - .2 A ligmio.irc ii supported by two vorlical beams...Ch. 5 - Prob. 5.7.3PCh. 5 - Prob. 5.7.4PCh. 5 - Prob. 5.7.5PCh. 5 - A cantilever beam AB with rectangular cross...Ch. 5 - A simple beam ABC having rectangular cross...Ch. 5 - A cantilever beam AB having rectangular cross...Ch. 5 - The shear stresses t in a rectangular beam arc...Ch. 5 - .2 Calculate the maximum shear stress tmaxand the...Ch. 5 - A simply supported wood beam is subjected to...Ch. 5 - A simply supported wood beam with overhang is...Ch. 5 - Two wood beams, each of rectangular cross section...Ch. 5 - A cantilever beam of length L = 2 m supports a...Ch. 5 - A steel beam of length L = 16 in. and...Ch. 5 - A beam of rectangular cross section (width/) and...Ch. 5 - A laminated wood beam on simple supports (figure...Ch. 5 - A laminated plastic beam of square cross section...Ch. 5 - A wood beam AB on simple supports with span length...Ch. 5 - A simply supported wood beam of rectangular cross...Ch. 5 - A square wood platform is 8 ft × 8 ft in area and...Ch. 5 - A wood beam ABC with simple supports at A and B...Ch. 5 - A wood pole with a solid circular cross section (d...Ch. 5 - A simple log bridge in a remote area consists of...Ch. 5 - A vertical pole consisting of a circular tube of...Ch. 5 - A circular pole is subjected to linearly varying...Ch. 5 - A sign for an automobile service station is...Ch. 5 - A steel pipe is subjected to a quadratic...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - -1 through 5.10-6 A wide-flange beam (see figure)...Ch. 5 - A cantilever beam AB of length L = 6.5 ft supports...Ch. 5 - A bridge girder A B on a simple span of length L =...Ch. 5 - A simple beam with an overhang supports a uniform...Ch. 5 - A hollow steel box beam has the rectangular cross...Ch. 5 - A hollow aluminum box beam has the square cross...Ch. 5 - The T-beam shown in the figure has cross-sectional...Ch. 5 - Calculate the maximum shear stress tmax. in the...Ch. 5 - A prefabricated wood I-beam serving as a floor...Ch. 5 - A welded steel gird crhaving the erass section...Ch. 5 - A welded steel girder having the cross section...Ch. 5 - A wood box beam is constructed of two 260 mm × 50...Ch. 5 - A box beam is constructed of four wood boards as...Ch. 5 - Two wood box beams (beams A and B) have the same...Ch. 5 - A hollow wood beam with plywood webs has the...Ch. 5 - A beam of a T cross section is formed by nailing...Ch. 5 - The T-beam shown in the figure is fabricated by...Ch. 5 - A steel beam is built up from a W 410 × 85 wide...Ch. 5 - The three beams shown have approximately the same...Ch. 5 - Two W 310 × 74 Steel wide-flange beams are bolted...Ch. 5 - A pole is fixed at the base and is subjected to a...Ch. 5 - A solid circular pole is subjected to linearly...Ch. 5 - While drilling a hole with a brace and bit, you...Ch. 5 - An aluminum pole for a street light weighs 4600 N...Ch. 5 - A curved bar ABC having a circular axis (radius r...Ch. 5 - A rigid Trame ABC is formed by welding two steel...Ch. 5 - A palm tree weighing 1000 lb is inclined at an...Ch. 5 - A vertical pole of aluminum is fixed at the base...Ch. 5 - Because of foundation settlement, a circular tower...Ch. 5 - A steel bracket of solid circular cross section is...Ch. 5 - A cylindrical brick chimney of height H weighs w =...Ch. 5 - A flying but tress transmit s a load P = 25 kN,...Ch. 5 - A plain concrete wall (i.e., a wall with no steel...Ch. 5 - A circular post, a rectangular post, and a post of...Ch. 5 - Two cables, each carrying a tensile force P = 1200...Ch. 5 - Prob. 5.12.16PCh. 5 - A short column constructed of a W 12 × 35...Ch. 5 - A short column with a wide-flange shape is...Ch. 5 - A tension member constructed of an L inch angle...Ch. 5 - A short length of a C 200 × 17.1 channel is...Ch. 5 - The beams shown in the figure are subjected to...Ch. 5 - The beams shown in the figure are subjected to...Ch. 5 - A rectangular beam with semicircular notches, as...Ch. 5 - A rectangular beam with semicircular notches, as...Ch. 5 - A rectangular beam with notches and a hole (see...
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 steel beam is shown in the figure. This beam is subjected to a bending moment M having its vector at an angle 8 to the - axis. Determine the orientation of the neutral axis and calculate the maximum tensile stress tiand maximum compressive stress tcin the beam. Assume that e = 22.5° and M = 4.5 kN · m. Use cross-sectional properties Ix=93.14 × 106 mm4, Iy= 152.7 X 10e mm4, and 9 = 27.3º.arrow_forward-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.arrow_forwardThe cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli of elasticity are TA= 75 GPa and Es= 200 GPa. Under the action of a bending moment that produces a maximum stress of 50 M Pa in the aluminum, what is the maximum stress xs in the steel? If the height of the beam remains at 120 mm and allowable stresses in steel and aluminum are defined as 94 M Pa and 40 M Pa, respectively, what heights h and h. arc required for aluminum and steel, respectively, so that both steel and aluminum reach their allowable stress values under the maximum moment?arrow_forward
- 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).arrow_forwardThe Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7arrow_forwardA beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional area is shown in the figure. What is the maximal shear stress? (Hint: the area moment (Q) is given by bh2/8, and the area moment of inertia of the cross-sectional area is equal to bh3/12, b is the width, h is the height).arrow_forward
- Ex. No. 3: Determine the values of the shear stress owing to bending at point A, B, and C in the beam cross-section shown in figure below when subjected to a shear force & Q = 140 KN. Hence Sketch the shear stress distribution diagram: loomm 100 mm 50 mm 15° ABU 25 12.5mm С C T 9:41 مarrow_forwardThe beam is acted upon by force F = 17 kN as shown in the figure. What is the shear force in section C in kN. Find the moment of area of the fiber 30 mm above the bottom of the beam about the neutral axis in mm3. find the shear stress in MPa at a point 30 mm above the bottom of the beam at section C.arrow_forwardFor the beam cross-section shown, (a) find the maximum bending stresses of the beam if the bending moment is M = - 50 kN.m. (b) find the maximum shear stress if the max shear is V = +65 kN 20 mm 80 mm 70 mm NA 160 mm I = 15.52 × 10° mm* -e20 mmarrow_forward
- H.W: Find the values f the shear stress at point A, B, and C in the beam Cross-Sedion shown in the figure below when subjeded to a shaur forced Q= loo kN. Hence Sketch the shear stress distribution dingram. A R2 25 mm R= 50 mm R= 75 mmarrow_forwardH.W: Find the Values of the shear stress at point A, B, and C in the beam Cross- Sedion shown in the figure below when subjeded to a shaurr forced @= loo kw. Hence Sketch the shear stress distribution dingram. A B R2 25 mm R= 50 mm Rzs75 mmarrow_forwardThe composite beam in Fig. a is made of wood and reinforced with a steel strap located on its bottom side. If the beam is subjected to a bending moment of M = 2 kN # m, determine the normal stress at points B and C. Take Ew = 12 GPa and Est = 200 GPa.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License