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
Concept explainers
Videos
Textbook Question
Chapter 5, Problem 5.5.3P
A thin, high-strength steel rule (E = 30 x 10ft psi) having a thickness t = 0.175 in. and length L = 48 in. is bent by couples Mcinto a circular arc subtending a central angle a = 40° (sec figure),
- What is the maximum bending stress emax. in the rule?
- By what percent docs the stress increase or decrease if the central angle is increased by 10%?
- What percent increase or decrease in rule thickness will result in the maximum stress reaching the allowable value of 42 ksi?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
2 A metal block of mass m = 10 kg is sliding along a frictionless surface with an initial speed
Vo, as indicated below. The block then slides above an electromagnetic brake that applies a
force FEB to the block, opposing its motion. The magnitude of the electromagnetic force
varies quadratically with the distance moved along the brake (x):
10
FEB = kx²,
with k
= 5
N
m²
V₁ = 8 m/s
m = 10 kg
FEB
Frictionless surface
Electromagnetic brake
⇒x
Determine how far the block slides along the electromagnetic brake before stopping, in m.
Q1: Determine the length, angle of contact, and width of a 9.75 mm thick
leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The
diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at
300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The
density of the leather is 1000 kg/m³. The maximum allowable stress in the
leather is 2.5 MPa. The coefficient of friction between the leather and pulley is
0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear.
Check the gears thus designed from the consideration of wear. The surface endurance limit may be
taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 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
- 4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.arrow_forwardI want to solve these choicesarrow_forward2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14½½ pressure angle may be taken 0.684 0.124 y = No. of teeth as [Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]arrow_forward
- Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the distortion-energy theory and the maximum shear theory and compare them. Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi. The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in., t=0.5 in., Load F= 1000 lb. Assumptions: The load is static and the assembly is at room temperature. Consider shear due to transverse loading as well as other stresses. (Note: solve in SI units) wall tube Figure 2 armarrow_forwardThe question has been set up with all the cuts needed to accurately derive expressions for V(x) and M(x). Using the cuts free body diagrams set up below, derive expressions for V(x) and M(x). If you use the method of cuts then validate your answers using calculus or vice versa.arrow_forwardIt is required to treat 130 kmol/hr of chloroform-air feed gas mixture that contains 12% chloroform. It is required to remove 93% of chloroform using 150 kmol/hr of solvent that contains 99.6% water and 0.4% chloroform. The cross sectional area of the column is 0.8 m². Calculate the column height using the following data; kx'.a = 1.35 (kmol/m³.s (Ax)), and ky'.a = 0.06 (kmol/m³.s (Ay)), kx/ky = 1.35, and the equilibrium data are: X 0 0.0133 0.033 y 0 0.01 0.0266 0.049 0.064 0.0747 0.0933 0.1053 0.0433 0.06 0.0733 0.111 0.1 0.12 0.14arrow_forward
- ४ B: Find the numerical solution for the 2D equation below and calculate the temperature values for each grid point shown in Fig. 2 (show all steps). (Do only one trail using following initial values and show the final matrix) [T1] T₂ T3 [T] 1 = [0] 0 0 d dx dx) (ka)+4(ka) = dy -20xy, k = 1 + 0.3 T ge L=3cm, 4x= Ay B.Cs.: at x=0=LT=0°C at y=0-L T=10°C Fig. (2)arrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardFor the beam show below, draw A.F.D, S.F.D, B.M.D 6 kN/m 1 M B. 3 M Marrow_forward
- 1. Two long rods of the same diameter-one made of brass (k=85w/m.k) and the other made of copper (k=375 w/m.k) have one of their ends inserted into a furnace (as shown in the following figure). Both rods are exposed to the same environment. At a distance of 105 mm from the furnace, the temperature of the brass rod is 120°C. At what distance from the furnace will the same temperature be reached in the copper rod? Furnace 105 mm T₁ Brass rod ⑪ h Too- x2- Ti Copper rodarrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardمشر on ۲/۱ Two rods (fins) having same dimensions, one made of brass(k=85 m K) and the other of copper (k = 375 W/m K), having one of their ends inserted into a furnace. At a section 10.5 cm a way from the furnace, the temperature brass rod 120°C. Find the distance at which the same temperature would be reached in the copper rod ? both ends are exposed to the same environment. 22.05 ofthearrow_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
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license