For the beam shown, find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and provide values at all key points. y 500 lbf O 8 in A B 6 in 50 lbf/in 6 in ان X

For the beam shown, find the reactions at the supports and plot the shear-force and bending moment diagrams. Label the diagrams properly and provide values at all key points. y 500 lbf O 8 in A B 6 in 50 lbf/in 6 in ان X

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.21P: The beam ABC shown in the figure is simply supported at A and B and has an overhang from B to C Draw...

See similar textbooks

Related questions

Q: As may be seen in the diagram, the DEFORMABLE bars QR, TV, and UW are pinned to the RIGID bar RUST,…

A: Given: To find: Maximum moment

Q: The square plate is confined within the slots at A and B. When 0 = 25°, point A is moving at V₁ = 9…

A: Part (A): Write the given data. vA=9 m/sθ=25° Draw the I-center of the square plate.

Q: Question 4- On the diagram 1. Draw velocity vector of B 2. Find magnitude of linear velocity of B 3.…

A: To Draw : 1) The velocity vector of B 2) The magnitude of linear velocity of B Given : The diagram…

Q: A method to measure angular velocity is to use a proximity sensor that generates a pulse when a…

A: Given data: Total teeth = 65 Frequency = 4256 Hz To find: engine speed in rpm

Q: A wood stove is used to heat a single room. The stove is cylindrical in shape, with a diameter of D…

A: Solution: Given Data: D=0.4 mL=0.5 mTa=200oCTr=20oCe=0.92H=2.4 mw=7.6 mTo=0oC To Find: (a) Amount…

Q: Cable AD in (Figure 1) is tightened by a turnbuckle and develops a tension of 1500 lb.. Figure 300…

Q: 2. A sailboat moving in the direction shown is tacking to windward against a north wind. The log…

A: Given: To find: True wind velocity

Q: A container of a gas is at 25°C and 270kPa. If it can withstand a pressure of 1000 kPa, at what…

A: Given data: Initial temperature of the container, T1=25oC The initial pressure of the container,…

Q: What is the maximum time (in hours, nearest hundredths) a glider can achieve over the ground if it…

A: Solution: Given Data: H=4011 mW=2663 NA=16.1 m2CD=0.011 + 0.026CL2ρ=1.225 kg/m3cos γ=1 To Find:…

Q: Find the rolling resistance (in N) when: the rolling coef. is 0.020, the effective mass is 156 kg.

A: This question is based on the concept of rolling resistance .

Q: Steam enters a turbine with a mass flow rate of 15 kg/s at 500°C and 8 MPa. 30% of the steam is…

A: Steam turbine is adiabatic Mass flow rate = 15 kg/s T1= 500°C P1= 8 MPa steam is removed from the…

Q: Compute the flow rate of water between two large reservoirs shown on the figure. A globe valve…

A: The flow is turbulent Re=107. The diameter of the pipe is d=50 mm. The roughness of pipe is ε=0.2…

Q: For intrinsic gallium arsenide, the room temperature electrical conductivity is 10 (2-m)-¹; the…

A: Given, Electrical Conductivity σ=10-6(Ω-m)-1 Electron Mobility μe = 0.85 m2V-s Hole Mobility…

Q: Analyse, using an accredited data source, the microstructures of non-processed and processed…

A: To analyse: The microstructures of non-processed and processed metallic materials.

Q: 4. The F-shaped assembly is welded to collar A that fits frictionlessly on the vertical pin that is…

Q: 5. A circular pipe of uniform diameter 25.0cm carries water under pressure of 30 N/cm². The mean…

Q: The slider P can be moved inward by means of the string S, while the slotted arm rotates about point…

A: Write the given data. θ=0.84t-0.056t2r=1.42 at t=0r˙=-0.15 m/s

Q: Air at 30 C and 2.5 atm is to be transported at a rate of 0.25 kg/s with a maximum velocity of 5…

Q: Three rods of different materials are connected and placed between rigid supports at A and D, as…

Q: 2. As shown in the picture, all the rods in the isosceles triangle truss structure are made by…

Q: Saturated liquid refrigerant 134a at 900 kPa is throttled to a pressure of 200 kPa. What is the…

Q: Determine the equation of the elastic curve using the x₁ and x2 coordinates. El is constant. L B

Q: Consider a rectangular fin that is used to cool a motorcycle engine. The fin is 0.15 m long and at a…

A: Given: Surface temperature and length of a rectangular fin. Speed of the motorcycle = u∞=60km/h,…

Q: At the instant shown in (Figure 1), rod AB has an angular velocity WAB = 2.2 rad/s and an angular…

A: Solution: Given Data: ωAB=2.2 rad/sαAB=5 rad/s2 To Find: (a) The angular velocity of rod CD at…

Q: What will be the maximum rotational speed (in rpm) of a 30 cm diameter shaft which will transmit…

Q: Astronomy Question: Read the questions slowly and answer with precise and long details about each…

A: The Whirlpool Galaxy, also known as Messier 51a, is a spiral galaxy located in the constellation…

Q: A single crystal is oriented such that the normal to the slip plane is at an angle of 65°. Three…

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

Q: The uniform rectangular plate moves on the horizontal surface. Its mass center has a velocity VG =…

Q: H.W7: A composite beam is formed by joining firmly a steel rod of 150 mm diameter inside a brass…

Q: 4. A bar is supported by a ball-and-socket joint and two cables as shown in Fig. 4. Draw the free…

A: Given: The load on bar, F = 1600 N

Q: *4-124. Replace the parallel force system acting on the plate by a resultant force and specify its…

Q: Q1: A steel plate has a stress-strain curve define by 330(E). It is required to achieve that 18%…

A: (1) Write the given data. Material of plate: SteelCurve, σ¯=330ε¯0.3δL=-18%Lδw=10%w

Q: Q3: A square element 8 8mm in an undeformed sheet of 0.8mm-thickness becomes a rectangle, 6.5 x…

Q: f the roller at A and the pin at B can support a load up to 4 kN and 8 kN, respectively, determine…

Q: 14.47 Four small disks A, B, C, and D can slide freely on a frictionless hori- - zontal surface.…

Q: Determine the force in member BC of the truss and state if the member is in tension or compression.…

Q: 30° T 0.4 m 0.8 m 6 m G B 3 m The jet-powered aircraft has a mass of 27 tons and a center of mass at…

Q: A stainless steel rod (AISI 304) of length L = 100 mm and triangular cross section is attached…

Q: A spherical pressure vessel has an inside diameter of 4.9 m and a wall thickness of 17 mm. The…

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

Q: Two blocks are connected by a light string passing over a pulley of radius 0.18 m and moment of…

Q: At an axial load of 22 kN, a 15-mm-thick x 35-mm-wide polyimide polymer bar elongates 4.6 mm while…

A: Given data: Axial load: F = 22 kN Thickness of the bar: t = 15 mm Width of the bar: w = 35 mm…

Q: A typical aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank…

Q: Fluid of density and velocity impinges on a vane as shown below. Find the reaction forces necessary…

A: Given

Q: A solid plastic rod has a diameter of d = 30 mm and a length of L = 625 mm. An axial load of P = 21…

A: Given: Diameter, d = 30 mm Length, L = 625 mm Axial load, P = 21 kN Elastic modulus, E = 2.4 GPa…

Q: A simple U tube manometer is used to measure the pressure of oil flowing in a pipeline. Its left…

A: Given data Specific gravity of oil = 1.79 Specific gravity of mercury=13.6 Find the density of oil…

Q: 2. For the crank-slider type linkage shown¹, you are given that link lengths |ZA| = |AZ| = 10 cm,…

Q: Two uniform disks A and B, each having a mass of 4k, are connected by a 3kg rod CD, as shown in the…

A: Draw the free-body diagram of the disk A.

Q: Given the following system setup, determine the value of h. Q-0.1 m^3/s 0.15 diameter 1m O Air 0.3m…

Q: The drag polar equation of a light aircraft in clean configuration is: Cp=0.020+0.044C₁2. The…

A: Solution: Given Data: CD=0.02 + 0.044CL2A=162.7 ft2W=15.2 psfV=213 ft/sρ=0.002377 slug/ft3 To…

Q: Steam enters a turbine at 600°C and 6000 kPa, and leaves the turbine as saturated vapor at 200 kPa.…

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

2. For the beam shown, find the reactions at the supports and plot the shear-force and
bending moment diagrams. Label the diagrams properly and provide values at all key
points.
y
500 lbf
O
8 in
A
B
6 in
50 lbf/in
6 in
с
X

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

Find expressions for shear force V and moment M at v = L/2 of beam AB in structure (a). Express V and M in terms of peak load intensity q0and beam length variable L. Repeat for structure (b) but find Fand M at m id-span of member BC.
Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.
A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given. Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.
For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending moment acting on section 1 in terms of the distance x (0 < x< L). [Note: Case 1 results in the conventional V- and M-diagrams, in which the loads are fixed and the location of the section varies; the diagrams for Case 2 (called influence diagrams) show the variation of V and M at a fixed section as the location of the load is varied]
A fixed-end beam AB supports a uniform load of intensity q = 75 lb/ft acting over part of the span. Assume that EI = 300kip-ft2. Calculate the reactions at A and B. Find the maximum displacement and its location. Repeat part (a) if the distributed load is applied from A to B.
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)?
The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?
A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
.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.
Determine the bending moment M in the pinned-end column with eccentric axial loads shown in the figure. Then plot the bending-moment diagram for an axial load P = 0.3Pcr. Note: Express the moment as a function of the distance x from the end of the column, and plot the diagram in nondimensional form with M/Pe as ordinate and x/L as abscissa.