For the bent cantilever beam shown in the diagram, calculate the moment created about point O, by the load P applied at B (take the counter-clockwise direction to be positive). Assume negligible width/thickness of the beam. Give your answer in kNm. 0=35.0°, P = 7.3 kN

For the bent cantilever beam shown in the diagram, calculate the moment created about point O, by the load P applied at B (take the counter-clockwise direction to be positive). Assume negligible width/thickness of the beam. Give your answer in kNm. 0=35.0°, P = 7.3 kN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.7.12P: A simple beam ACE is constructed with square cross sections and a double taper (see figure). The...

See similar textbooks

Related questions

Q: The 31-kg disk is originally spinning at w = 185 rad/s. It is placed on the ground, for which the…

Q: A bar of a uniform cross section is subjected to uniaxial tension and develops a strain in the…

A: Given data:- A bar of a uniform cross-section strain in x direction =1/800 μ= 1/3 To find:-the…

Q: A type of flow measuring instrument that measures the static and velocity pressure simultaneously…

A: In fluid mechanics we have many flow measurement instruments for different purposes and we use them…

Q: Calculate the center of mass of a 4 m long aluminum bar with cross- sectional area of 4 cm x 4 cm if…

A: Draw the diagram of bar.

Q: Calculate DOF. Please solve Carefully asap

A: Given:- mechanism with four link Determine:- Degree of freedom (DOF)

Q: ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴄᴏɪʟꜱ ᴏꜰ ᴀ ʜᴇʟɪᴄᴀʟ ꜱᴘʀɪɴɢ ꜱᴏ ᴛʜᴀᴛ ᴛʜᴇ ᴅᴇꜰʟᴇᴄᴛɪᴏɴ ᴏꜰ ᴛʜᴇ ꜱᴘʀɪɴɢ ᴍᴀʏ ɴᴏᴛ…

Q: c) Find the stresses in the concrete and the reinforcement for the following applied moments: (i) -…

Q: (a) Find the moment of interia for area respect to y-axis. (b) Find the moment of interia for area…

A: Solution: Given Data: To Find: (a) MOI about y-axis. (b) MOI about P point.

Q: 4.2 The following are operating conditions for a steam generator: Coal analysis: carbon 61%,…

A: To solve this question the coal components mentioned are used in the emperical formula for the…

Q: onnected to a 450-liter insulated tank of air at 250 kPa and 50̊C is opened, allowing the gas to…

A: Given data as per question Insulated tank of airV1=V2=450 L=0.45 m3P1=250 kPa, T1=50°C=50+273=323…

Q: A fixed crane has a mass of 100-kg and is used to lift a 2400-kg crate. It is held in place by a pin…

Q: The mechanism shown is a special platform used to raise sections of a structure for the construction…

A: Given: To find: Minimum force required by the piston to lift

Q: What is the heat removal for an actual Vapor Compression Refrigeration Cycle if the superheated…

A: Given data:- mass flow rate =0.07 kg/s Enthalpy at the exit of the evaporator (h1)=246.37 kJ/kg…

Q: at are some formulas used in GD

A: GD& T:- A symbolic language known as GD&T, or geometric dimensioning and tolerancing, is…

Q: A four-stroke cycle engine have an indicated mean effective pressure of 1.90 lb/in², a stroke of 6…

A: Given:Engine= four stroke engineIndicated mean effective pressure, IMEP=1.90 lb/in2=1.90*144…

Q: 8-131. A large stone having a mass of 500 kg is moved along the incline using a series of…

A: Given data, Mass of the stone, M = 500 kg Diameter of each roller, d = 150 mm Coefficient of rolling…

Q: The two blocks used in a measuring device have negligible weight. The spring is compressed 4 in.…

Q: The specific weight and the specific gravity of a body of unknown composition are desired Its weight…

A: GivenWair=890NWwater=667N

Q: Two parallel shafts, 61 cm apart and having a speed ratio of 3, are connected by cylinders in pure…

Q: Calculate the required size for a square bar to be made from C1020 cold drawn steel. It carries a…

A: Given data, The beam material is C1020 cold drawn steel. Tensile strength of the material, σt=36400…

Q: Seatwork IA Consider the cable system shown. Determine the forens AB, AD, WP 75" 244 34

Q: An inclined neck. If the p determine the higher than i

A: Givend1=0.075md2=0.019mP1-P2=∆P=175.5 kN/m2Qact=311 dm3/minz2-z1=0.46m

Q: If the flow of 0.10 m³/s of water is to be maintained in the system shown, what power must be added…

A: In this question first we have calculated Reynolds number to know the type of flow and then we have…

Q: Superheated steam at 40 bar absolute and 500°C flows at a rate of 250 kg/min to an adiabatic…

A: Given: P1=40 bar T1=500oC m˙ = 250 kg/min P2=5 bar W˙T,out=1500 KW

Q: Question 5 The force F in Figure A is to be replaced by a force through A and a couple whose forces…

Q: Certain oil with sp.gr 0.96 is pumped through a large pipe of diameter 500mm. Velocity of the oil at…

Q: An arbitrary heat engine is operating with the average heat addition and heat rejection temperatures…

A: Given:Heat addition temperature, Tin,1=600 KHeat rejection temperature, Tout,1=360 KFind:The thermal…

Q: 2. A 5 lbm gun fires a 0.05 lbm bullet. The bullet leaves the gun at a velocity of 1500 ft/s in the…

A: Given: mass of gun (mg) = 5 lbm mass of bullet (mb) = 0.05 lbm Velocity of bullet leaving gun (Vb) =…

Q: 4. A Reynolds Number, Re = 1 x 105, indicates that the flow is a. Transitional b. Steady c. Laminar…

Q: Calculate the flow stress at the end of the stroke of this material at the given temperature…

A: Given DataF=39kNh2=15.46 mmD2=29.56mmμ=0.2

Q: (b) Find the natural frequencies and mode shapes. (c) Calculate the natural frequencies and mode…

Q: food is heated in a tubular heat exchanger. The inside pipe wall temperature is 110°C. The internal…

A: Given data as per question A liquid food is heated in a tubular heat exchanger. The inside pipe wall…

Q: A shell-and-tube heat exchanger uses hot oil at 100-C to heat air. The oil makes six tube passes and…

Q: The change in shear force V between points A and 8 would be.

Q: (3) A B Two blocks are connected by a cord as shown. Black A has initial velocity VA= 2.5 ft/s → 'Ao…

Q: A car and a truck are both traveling at the constant speed of 35 minh; the car is 40 ft behind the…

A: Given: A car and a truck are both traveling at the constant speed of 35 mi/hand the car is 40 ft…

Q: What is the reaction of the beam?

Q: A ball is thrown vertically in the air with an initial kinetic energy of 2,520 joules [J]. Assume…

Q: In the 190.0 meter span cable and a horizontal load of 5.550 KN/m horizontal load, find the location…

A: Given data: L=190.0 mw=5.550 KN/mmaximum allowable stress is 1250 Mpa

Q: The connection is made using a bolt and nut and two washers. If the allowable bearing stress of the…

Q: Seatwork IA AC Consider the cable system shown. Determine the forces in 60° Å 75° 2 kN B 60° 3 kN…

Q: 4.2. A Bingham liquid requires 100 Pa yield stress to flow. If the shear rate was found to be 5 Hz…

A: GivenC=100PadVdr=5 Hzτ=200Pa

Q: Calculate the mass flow rate _________

A: Steady Flow Energy Equation is given as m.h1+v122000+z1+Q=m.h2+v222000+z2+W Where, m. is mass flow…

Q: ʜᴇʟɪᴄᴀʟ ꜱᴛᴇᴇʟ ꜱᴘʀɪɴɢ ʜᴀꜱ ᴀ ᴍᴀxɪᴍᴜᴍ ʟᴏᴀᴅ ᴏꜰ 367 ʟʙ ᴀɴᴅ ᴀ ᴄᴏʀʀᴇꜱᴘᴏɴᴅɪɴɢ ᴅᴇꜰʟᴇᴄᴛɪᴏɴ ᴏꜰ 1.9 ɪɴᴄʜᴇꜱ. ɪꜰ…

Q: A piston cylinder performs a cyclic motion (1 -> 2 -> 1) with 2 process paths as shown below. (1)…

Q: ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ꜱᴘʀɪɴɢ ᴄᴏɴꜱᴛᴀɴᴛ ᴏꜰ ᴀ ꜱᴘʀɪɴɢ (ɪɴ ʟʙ/ɪɴ) ᴛʜᴀᴛ ᴀxɪᴀʟʟʏ ᴅᴇꜰʟᴇᴄᴛꜱ ʙʏ 1.9 ɪɴᴄʜᴇꜱ ᴡʜᴇɴ ɪᴛ ɪꜱ…

Q: A simple Rankine cycle operates with R-134a as the working fluid. Fluid leaves the boiler at 1.4 MPa…

A: Given data, Working fluid of the Rankine cycle is R-134a Boiler pressure, Pb = 1.4 MPa Condenser…

Q: Question 3 The following is an observation made during a trial on a 4-stroke diesel engine. The…

A: The given information in the problem is shown in the following attached image:

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: QUESTION 1 A combined separating and throttling calorimeter is used to determine the dryness…

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

Read Properly & Please provide Correct Answer.

For the bent cantilever beam shown in the diagram,
calculate the moment created about point O, by the
load P applied at B (take the counter-clockwise
direction to be positive). Assume negligible
width/thickness of the beam. Give your answer in
kNm.
0=35.0°, P = 7.3 kN
30°
4 m
Type your answer...
45°
x
3 m
B
0
P

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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 frame ABCD is constructed of steel wide-flange members (W8 x 21; E = 30 x ID6 psi) and subjected to triangularly distributed loads of maximum intensity q0acting along the vertical members (see figure). The distance between supports is L = 20 ft and the height of the frame is h = 4 ft. The members are rigidly connected at B and C. Calculate the intensity of load q0 required to produce a maximum bending moment of 80 kip-in. in the horizontal member BC. If the load q0 is reduced to one-half of the value calculated in part (a), what is the maximum bending moment in member BC? What is the ratio of this moment to the moment of 80 kip-in. in part (a)?
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.
.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
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.
.20 Determine the plastic moment Mpfor beam having the cross section shown in the figure ey=210 MPa.
.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.
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?
Determine the maximum bending moment magnitude for the beam shown below. Use a = 21 ft, b = 7 ft, and w = 6 kips/ft. The reaction forces for this beam are Ay = 56 kips and By = 112 kips. Answer:Mmax = Enter your answer in accordance to the question statement kip·ft
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.
1. Determine the maximum positive bending moment in the beam in kN-m. 2. Determine the maximum shear in kN. 3. Determine the location of Neutral Axis, in mm, from the top of the section. 4. Determine the location of the centroid, in mm, from the left of the section. 5. Determine the moment of inertia of the section in x106 mm4 . 6. Determine the moment capacity of the section, kN-m, if fbcap≤300 MPa. 7. Determine the maximum flexural stress experienced by the beam in MPa. 8. Determine the maximum shearing stress in MPa at Neutral Axis. 9. Determine the spacing of rivets in mm. 10. Determine the maximum flexural stress at 1 m from the support at D to E in MPa.
Draw the shear and bending moment diagram for the beam.And also show Maximum bending moment Mb=25875lb .ft a tx=9.0ft
Considering a uniform beam of 1 m long simply supported at both ends, theBending moment is given by the following relation: