Considering the effects of the prestressing forces (assume no loss) and the working loads (include the selfweight of the beam). Calculate the stress indicated below. Calculate ftop at midspan. (MPa), consider sign convention (- for compression, + for tension)

Considering the effects of the prestressing forces (assume no loss) and the working loads (include the selfweight of the beam). Calculate the stress indicated below. Calculate ftop at midspan. (MPa), consider sign convention (- for compression, + for tension)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.2P: A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN...

See similar textbooks

Related questions

Q: ADVANCED MANUFACTURING PROCESS 1) What differences would you expect in the properties of castings m...

Q: 4. A field is given as E = 2xz²a, + 2z(x² + 1)a,. Find the equation of the streamline passing %3D th...

A: The equation for the streamline is, z2 = x2+ 2lnx.

Q: Draw the shear force diagram and bending moment diagram using differential relationship between load...

A: Given; uniform distributed load for distance a from open end of the cantilever=q Then point load in ...

Q: Part A The 190-kg crate rests on the ground for which the coefficients of static and kinetic frictio...

Q: A centrifugal pump delivers 0.071 m3/s of water against a head of 7.6-m at 1450 rpm and requires 6.7...

A: Given Initial Speed, N1 = 1450 rpm Head, H1 = 7.6 m Final Speed, N2 = 1200 rpm Find ...

Q: Draw the shear force diagram and bending moment diagram using differential relationship method betwe...

Q: centrifuge bowl is to separate two immiscible liquids, one with SG 1.1 and the other with SG 0.9. Th...

Q: Provide the complete solution and diagram. A two stage compressor with an ideal intercooler receive...

Q: The pin support A and roller support B of the bridge truss are supported on concrete abutments. If t...

A: Given: Allowable bearing stress of the concrete, σa=2 ksi

Q: Calculate the torsion constant, J, for the below thin-walled closed cell where a = 40mm and t = 0.7m...

A: given; a=40mmt=0.7mmpolar moment of inertia (or) torsional constant (J)=?

Q: A and B are rolling cylinders connecting the shafts S and T. C and E are cylinders fast to these sha...

Q: Experimental data shows that the atmosphere of planet X is composed of pure carbon dioxide, with the...

Q: A smaller gear forces a larger gear to spin. If the smaller gear has a 12 cm radius and the larger g...

Q: For the state of stress as shown in Figure. Determine the following: 3. Determine the Normal and She...

A: Given:

Q: The instrument reads a height equivalent to 0.95 atm. The air is compressed adiabatically to 87,000 ...

A: Given data Initial Pressure = 0.95 atm = 96258.75 PaFinal Pressure = 87000 Pa

Q: Figure Q1 shows the angular velocity of rod AB at the instant is 15 rad/s clockwise, determine the a...

Q: Determine the velocity vector and resultant acceleration at point (1, 3). Is the flow physically pos...

Q: Q.Y water is trans por (1.5)in - dianeker wroughtiron horizontal pipe with flow rate of (01 H/9). Ca...

Q: One kilogram of saturated solid water at the triple point is heated to saturated liquid while the pr...

A: Givenm=1kg saturated solid water at tripple point pressure constant and heated to saturated liquid.

Q: B: The plate shown below is affected by the forces FA and FB, by assuming the value of 0, calculate ...

Q: Q3: Answer One of the following: A: for the frame shown below, calculate the components of the force...

Q: The car is traveling at a speed of 70 mi/hr as it approaches point A. Beginning at A, the car decele...

Q: A 60mm thick plate with a circular hole of 30mm diameter along the thickness is maintained at unifor...

A: Consider a body 1 having absolute temperature T1 and emissivity ε1 is exchanging energy in the form ...

Q: A linear thermal actuator is being used, inside it contains wax with a specific volume of 15%, that ...

A: Gievn Data The specific volume is: v=15% The expansion of the wax is: 15% The required stroke lengt...

Q: Explain why fasteners, such as bolt-and-nut, used in machines operating at high temperature must be ...

A: If the material of the bolt and the joint are different, large differences in temperature due to rap...

Q: Q6: Calculate the distance travelled by a bike between thre 1- It was driven from rest at the univer...

A: t=60sa=0.5m/s2t=15min=15×60sDeaccelerates=1m/s2 To-Find:- Total Distance travelled

Q: ihe tension cable AC Learning Goal: To apply the condition of equilibrium to three-dimensional syste...

Q: esponse problems 1. 2 moles of a monatomic ideal gas is placed under a piston in a cylindrical conta...

Q: what is the shear and moment diagram for the cantilivered beam below measured from the free end

Q: Develop the expression to determine: the elevation of the oil-water surface (Yi) and the pressure gr...

A: The course through permeable limits is critical both in mechanical as well as biophysical streams. M...

Q: What is additive manufacturing?

A: The method of producing an object one layer at a time is known as additive manufacturing. Subtrac...

Q: Consider a cylinder of specific gravity SG < 1 floating vertically in water (SG = 1), as in the figu...

A: GivenSG= specific gravity of the cylinder <1SG of water =1DL=1.2

Q: 13. What is the equation of the curve in polar coordinates whose equation in rectangular coordinates...

Q: A company has 237 employees. Of these, 205 participate in at least one of the company's two payroll ...

Q: A 400-kg satellite was placed in a circular orbit 1500 km above the surface of the earth . At this e...

A: Given Mass, m = 400 kg Velocity, v = 25.6 x 103 km/h = 7.11 x 103 m/s Find ...

Q: A No. 204 radial-contact ball bearing is used in an application considered to be light-to- moderate ...

Q: Datum SB 3.) If the cable that is connected to block A slacks with an acceleration of 0.6 m/s/s. Det...

Q: 3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 KN.m and L = 3 m. El is...

Q: a steel shaft is 100 hp at a speed of 950 rpm. the shear stress is 8000 psi. what is the economical ...

Q: 750 ml of a gas is at 185 kPa gage pressure and 64 °C. Determine the number of molecules in the ga...

A: Given Data: The volume of the gas, V=750 mL The pressure of the gas, P=185 kPa The temperature of t...

Q: Automatic transmissions use a __ instead of a clutchto transfer power from the flywheel to the trans...

A: An automated car is one that has an automatic gearbox and does not require the driver to manually...

Q: The condensing and evaporating pressures in a 10 TR R-22 refrigeration system are 11.82 bar and 1.64...

Q: Calculate the torsion constant, J, for the below thin-walled closed cell where a 40mm and t = 0.7mm ...

Q: The initial condition of air in an air compressor is 97 kPa and 27 oC and discharges air at 350 kPa....

A: Given Data The initial pressure is: P1=97 kPa The final pressure is: P2=350 kPa The length is: L=28...

Q: A pipe with a 2 m diameter carries water having a velocity of 4 m/s. What is the discharge in cubic ...

A: Given Diameter, d = 2 m Velocity, v = 4 m/s Find Discharge, Q

Q: With regard to the process of slip, a Burgers vector's direction correspc dislocation's slip directi...

A: Aluminium Atomic Radius = 0.1431nmChromium Atomic Radius =0.1249nm To-Find:- Values of magnitudes of...

Q: Determine the rate of heat loss per unit length (q), in W/m, and outer surface temperature T,2, in K...

Q: If the standard deviation of a nut's hole diameter exceeds 0.01 millimeters, there is an unacceptabl...

A: according to given details

Q: Derive the expression for radiation heat exchange between two gray surfaces connected by single refr...

A: Gray body - A body that absorbs Radiation equally at all wavelength ,but at certain fraction and a g...

Q: A simple saturated refrigeration cycle for R-11 system operates at an evaporating temperature of -5C...

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

Considering the effects of the prestressing forces (assume no loss) and the working
loads (include the selfweight of the beam). Calculate the stress indicated below.
Calculate ftop at midspan. (MPa), consider sign convention (- for compression, + for
tension)
5 KN/m EXCLUD In6
SELFWEI6 HT
300 = P
P=300 kN
I5 M
オ
400
8e = 24 IN
m3
N.A.
800
70 主

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

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 scuba t a n k (see fig ure) i s bci ng d e signed fo r an internal pressure of 2640 psi with a factor of safety of 2,0 with respect to yielding. The yield stress of the steel is 65,000 psi in tension and 32,000 psi in shear, (a) If the diameter of the tank is 7,0 in., what is the minimum required wall thickness? (b) If the wall thickness is 0.25 in., what is the maximum acceptable internal pressure?
A copper alloy pipe with a yield stress aY= 290 MPa. is to carry an axial tensile load P = 1500 kN (see figure part a). Use a factor of safety of 1.8 against yielding. (a) If the thickness t of the pipe is one-eighth of its outer diameter, what is the minimum required outer diameter dmin? (b) Repeat part (a) if the tube has a hole of diameter dt 10 drilled through the entire tube, as shown in the figure part b.
Since the allowable normal stress of AC beam loaded with uniformly distributed load is 100MPa in tension, 120MPa in compression and 50MPa in shear stress, check whether the beam is safe.
A circular column is subject to a fluctuating bending stress, which varies between 10,000 psi and 30,000 psi. The material used for this column is 3140 OQT1300 steel. Stress concentration factor is 1.30 and the actual endurance limit ( Sn' ) for this material is 42 ksi. Determine the design factor N, using Goodman Criteria.
PROBLEM 2A tri metallic bar is uniformly compressed by an axial force P=12kN applied through a rigid end plate. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter 10mm, the brass tube has an oute diameter of 15mm and the copper tube has an outer diameter of 20mm. E for steel =210Gpa, E for brass =100GPa and E for copper is 120GPa. Calculate the compressive stress of each metal due to force P.
An aircraft engine develops 150kW at 1500rpm. The engine output shaft is steel which failswhen the shear stress is 160N/mm2.a) If the output shaft is solid, determine a suitable diameter to give a safety factor of three.b) If the shaft is hollow with an external diameter of 50mm, calculate a suitable internaldiameter to give a safety factor of three. Also, determine the percentage saving in weight.
Calculate the stress in the circumferential section of boiler steam drum 2.15 m in diameter and 45 mm thick, when the working pressure is 30 x 105 Pa
A simply supported beam has a concentrated load at the centre which fluctuatesfrom a value of P to 4 P. The span of the beam is 500 mm and its cross-section is circular with adiameter of 60 mm. Taking for the beam material an ultimate stress of 700 MPa, a yield stress of 500 MPa, endurance limit of 330 MPa for reversed bending, and a factor of safety of 1.3, calculate the maximum value of P. Take a size factor of 0.85 and a surface finish factor of 0.9.
You are designing a driveshaft for a motor from a material with G = 15,000 ksi. The specifications for the project require a solid shaft to be used. Based on the location of the motor, the driveshaft has a length L = 9.55 ft. The motor provides 67 hp at a rotation rate of 2475 rpm.Your design requires φ ≤ 0.905° over the length of the shaft. Additionally, the maximum shear stress in the material τmax ≤ 4.0 ksi.Determine rmin, the minimum radius
Problem 18.20, please show all work? Section 18.7 Axially Loaded Steel Machine PartsFor Problems 18.18 through 18.21, use the Euler–Johnson formulas, Equations (18.9) and ( 18.10), and a modulus of elasticity of 30,000,000 psi. 18.18 Calculate the allowable axial compressive load for a bar of rectangular cross section that measures 1 in. by 2 in. and is 20 in. long. The member is made of AISI 1040 hot-rolled steel. Use a factor of safety of 3.5 and assume the member is pin-connected. 18.19 Compute the required diameter of a piston rod of AISI 1040 hot-rolled steel with a length of 20 in. The rod is subjected to an axial compressive load of 6000 lb. Use a factor of safety of 2.5. Assume that the rod is pin-connected. 18.20 Compute the required diameter of an air cylinder piston rod of AISI 1040 hot-rolled steel. The rod has a length of 54 in. and is subjected to an axial compressive load of 1900 lb. Assume pinned ends. Use a factor of safety of 3.5. 18.21 Compute the required…
A simply supported beam carries a concentrated load at the center which fluctuates from a value of W to 4 W. The span of the beam is 497 mm and its cross-section is circular with a diameter of 52 mm. Take ultimate stress of beam material as 687 MPa, Yield stress as 0.55 times ultimate stress and the endurance strength as 0.45 times the value of ultimate stress and take a factor of safety of 1.5. Calculate the maximum value of "W", if the variable stress induced in the beam is 124 N/mm2. Using Goodman relation calculate the value of mean stress in N/mm2.
Q#1: The strength of the longitudinal joint is 25 kips/ft, whereas for the girth joint it is 20 kips/ft. Calculate the maximum diameter of the cylindrical tank if the internal pressure is 120 psi. Also discuss the joint strength and diameter of tank requirement for the given conditions. SIR, PLS GIVE ME PROPER AND CORRECT ANSWER. THANKS