9.5-2 A simply supported beam (E = 12 GPa) car- THes a uniformly distributed load q point load P = 200 N at mid-span. The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflec- tion of the beam. 125 N/m, and a %3D %3D A |C L/2 L/2 h

9.5-2 A simply supported beam (E = 12 GPa) car- THes a uniformly distributed load q point load P = 200 N at mid-span. The beam has a rectangular cross section (b = 75 mm, h = 200 mm) and a length of 3.6 m. Calculate the maximum deflec- tion of the beam. 125 N/m, and a %3D %3D A |C L/2 L/2 h

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 9.5.1P: A simply supported beam (E = 1600 ksi) is loaded by a triangular distributed load from A to C(see...

See similar textbooks

Related questions

Q: 2. A rectangular duct with a 10 cm x 20 cm cross section has a hydraulic diameter of a) 10cm b) 13cm…

A: Given data, Rectangular duct 10 cm x 20 cm a = 10 cm b = 20 cm Find Hydraulic diamter = Dh = ?

Q: State the minimum diameter of glass tube to be immersed in water for which capillary effects are…

A: Given information h capillary rise = 2.98 mm, Sigma =0.073N/m, Find dmin?

Q: Water flows at a steady and uniform depth of 2 m in an open channel of rectangular crosssection…

A: Given data as per question depth = 2 m base width = 5 m slope = 1 in 1000 Manning’s roughness…

Q: A large artery in a person's body can be approximated by a tube of diameter 9 mm and length 0.35 m.…

A: Given Initial pressure, P1 = 120 mm of Hg = 15.96 kN/m2…

Q: 19–6. The airplane is traveling in a straight line with a speed of 300 km/h, when the engines A and…

Q: The disc is moving to the left in such a way that it has an angular acceleration of 8 rad/s2 and…

Q: Q. Calculate the Moment of Inertia of shaded portion about X- axis. 50 mm 50 mm 100 mm 50 mm

A: Answer: The moment of inertia of shaded portion about X-axis is 12249294.7 mm4.

Q: There can be more than 1 answer per item What is the purpose of having piston ring gaps? So that…

Q: Please solve the following question: A TV announcer says that the dew point is 92 F. If you…

A: Find the percentage relative humidity.

Q: 1.) A Carnot engine is coupled to a Carnot refrigerator so that all the work produced by the engine…

Q: Consider the following equation. All three of the terms in parentheses are dimensionless groups.…

Q: 2. In 4-point bending, it has a higher probability that defects will exist due to a larger volume of…

A: The stress concentration of a three-point test is small and concentrated under the center of the…

Q: 19–31. The 10-g bullet having a velocity of 800 m/s is fired into the edge of the 5-kg disk as…

Q: When

A: 1)given ρAu=19.32 g/cm3 ρAg=10.49 g/cm3 Density of resulting substance…

Q: . Calculate the heat effect for this heat pump cycle 2. Calculate the coefficient of performance…

A: From the pressure table of R134 a For cycle 1: At 80 kPa (saturated vapor) h1=231.46 kJ/kg…

Q: Problem 1-5 The Cartesian components of stress at a point are given below : Oy = 5, Tyz = - 4,…

Q: a free cylindrical vortex flow of water, at a point at a radius of 150 mm the velocity and pressure…

Q: 5. The pendulum shown below consists of a 30 kg point mass at the end of a uniform bar with mass m =…

Q: 1. A Rankine cycle with reheating has a throttle pressure of 135 bars at the turbine inlet and 28…

Q: Compute the horsepower output of the following described engine operating at 2000 rpm, bore 3.5 in.,…

A: Given: speed, N = 2000 rpm bore, d = 3.5 in stroke, L = 4 in no of cylinders, k = 6 bmep = 140 psi

Q: What is the purpose of starting with the temperature if the water lower than room temperature and…

A: When you add energy to a group of atoms, they usually travel faster and get hotter. Similarly,…

Q: PROBLEM S5.3 A thin spherical vessel 1 m in diameter and 12 mm thick is filled with water. More…

Q: Evaluate the 3-DOF wrist as shown in Figure 2, use the conventional method to determine 1. Linear…

A: according to the details provided

Q: 5. Dynamic force presents a greater risk of strain than static force. True False

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: (a) Briefly explain the significant of the Reynolds Number in fluid flow in pipes.

Q: 1.) A reversible cycle executed by 1 mol of an ideal gas for which Cp = (5/2)R and Cv = (3/2)R…

Q: 13. Oil of SG = 0.87 and a kinematic viscosity v = 2.2 × 10-4 m2/s flows through the vertical pipe…

Q: Determine the shortest distance d to the edge of the plate at which the force P can be applied so…

Q: Differentiate Internal Combustion Engines from External Combustion Engines. What are the relative…

Q: (b) An oil with dynamic viscosity of 0.8 Pas and specific gravity of 0.9 is flowing through a…

Q: Part B Draw the moment diagram for the beam. Follow the sign convention. Click on "add vertical line…

Q: Using enerzy balone for JA madels and Potential eneraies Anscuer the fobbwinz, or d closd sytem chd…

A: Gas molecules in ideal conditions do not attract or repel one another. Ideal gas molecules' only…

Q: Car B gaps Car A by 90 ft as they travel along neighboring highway lanes at t = 0. Determine (a)…

Q: Q/ when a mixture of liquid and vapor exists the ratio of the mass of the liquid and vapor mixture…

Q: An oil of specific gravity 0.8 is flowing through venturimeter having inlet diameter 20 cm and…

A: Given data: SG=0.8d1=20 cmd2=10 cmx=25 cmC=0.98 Need to determine the discharge of oil through the…

Q: A 1.5-m long, copper rod is removed Irom a heat- treatment oven at 550°C and immersed in a 55°C…

A: Given dataLength of copper rod = 1.5 mTemperature of surface of copper rod = Ts = 550°CTemperature…

Q: Take note that if the figure CDFE is traced, it becomes a parallelogram. Additionally, members BCD…

A: Given Data The compressive force of AB is:FAB=-37 kN To find: The load L in kN. The force in link…

Q: Question 2 A comic demonstrating the power of pulleys uses the following figure: 1000 lbs. You a.)…

Q: What is the average efficiency of internal combustion? (Indicate the types of internal combustion…

A: Question: What is the average efficiency of internal combustion? (Indicate the types of internal…

Q: 3) Specify a suitable size for the horizontal portion of the member that will maintain the combined…

A: given; tensile force(F1)=400lbscompressive force(F2)=500lbscompressive and tensile…

Q: 5. Water at 20 °C flows through a horizontal 1-mm-diameter tube to which are attached two pressure…

A: Given Diameter, d = 1 mm Length, l = 1 m Find Pressure drop

Q: QI// A steam turbine equipped with single stage reheating and regenerative feed heating operates…

Q: A large artery in a person's body can be approximated by a tube of diameter 9 mm and length 0.35 m.…

Q: Find the convective acceleration at the middle of a pipe which converges uniformly from 0.6 m…

Q: A tempered glass window in an automobile requires two holes near the bottom edge, in order to attach…

A: In this problem, it is asking about the way to make holes during the manufacturing process in glass.…

Q: lf-locking? b. What is the highest torque necessary to raise the load? c. What maximum torque is…

Q: The hydraulic cylinder is extending with a speed of 2 m/s and an acceleration of 1.5 m/s2 Determine…

Q: Two aluminum plates, each having a width of b 6.6 in, and a thickness of t-0.700 in, are welded…

Q: 3.) A home requires 5kW to maintain an indoor temperature of 21°C when the outside temperature is…

Q: find the total force ov

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

9.5-2 A simply supported beam (E = 12 GPa) car-
THes a uniformly distributed load q
point load P = 200 N at mid-span. The beam has a
rectangular cross section (b = 75 mm, h = 200 mm)
and a length of 3.6 m. Calculate the maximum deflec-
tion of the beam.
125 N/m, and a
%3D
%3D
A
|C
L/2
L/2
h
PROBLEM 9.5-2

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

A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.
Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.
A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its self-weight with intensity q. The length of the beam is 1L5 ft. Let E = 30,000 ksi. Calculate the reactions at joints A and B. Find the location of zero moment within span AB. Calculate the maximum deflection of the beam and the rotation at joint B.
A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?
Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is subjected to a uniformly distributed load w = 3.5 lb/ft. Calculate the required load P at joint B so that the total deflection at joint B is zero. Assume that£ = 16,000 ksi.
-5 Calen1ate the deflections S 3a nd
A cantilever beam JA of length Land height/; (see figure) is subjected to a temperature change such that the temperature at the top is 7[ and at the bottom is 7. Determine the equation of the deflection curve of the beam, the angle of rotation BBat end and the deflection 8Bat end B,
A simple beam AB of length L and height h (see figure) is heated in such a manner that the temperature difference 7= T{between the bottom and top of the beam is proportional to the distance from support A: that is, assume the temperature difference varies linearly along the beam: T2- Tt= Tax in which 7"0 is a constant having units of temperature (degrees) per unit distance. Determine the maximum deflection SW9Xof the beam, Repeat for a quadratic temperature variation along the beam, so T2+T1= Tax
A cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and modulus E = 10,000 ksi. The beam is subjected to a linearly varying distributed load with a peak intensity qQ= 900 lb/ft. Use the method of superposition and Cases 1 and 9 in Table H-l to calculate the deflection and rotation at B.
A cantilever beam AB of length L = 6 It is constructed of a W 8 x 21 wide-flange section (see figure), A weight W = 1500 lb falls through a height h = 0.25 in. onto the end of the beam. Calculate the maximum deflection £m.iy of the end of the beam and the maximum bendini* stress *rm,vdue to the falling weight, (Assume E = 30 X 10 psi,)
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.