Answered: 4- For the beam shown in Figure,…

4- For the beam shown in Figure, determine the displacements and the slopes at the nodes, the forces in each element, and the reactions. E = 30 x 10 psi, and I = 200 in¹.

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: Considering now the real case, where the turbine and feed pump are not isentropic, and the feed pump…

Q: Consider a steam power plant that operates a reheat Rankine cycle and has a net power output of 80…

A: The net power output is .The steam enters the high pressure turbine at .The steam enters the low…

Q: HW7_4 We wish to find the result of sin(ex - 2) dx However, this function is difficult to integrate.…

Q: 3. Determine the x, y, z components of reaction acting on the ball-and-socket at A, the reaction at…

A: Given , a plate in which a uniformly distributed load of 40 lb/ft acts from A to B and a moment of…

Q: Write the steady-state solution as p(t) = hM cos (wt + o) and plot M versus frequency ratio for…

Q: Consider a circular disc which is rotating about its geometric center with a circular motion such…

A: 1) We may use the following equation to get the scalar magnitude of the velocity at time 2.0512…

Q: D- Water 12 2. In this system, d = 6 in., D = 6 ft, and =z2 = 12 ft. The water in the system is 13…

A: Disclaimer:Hello. Since you have submitted multiple questions, we will solve the first one for you.…

Q: resolve, incorrect answer

Q: Help ASAP how can I determine the defletion at point a,b,c,d,e,f and g

A: It is asked to fidn the defelction from the beam shown below

Q: Calculate the percent error for the heat capacity of steel given that the true value is 0.466 J/g ˚C

A: The true value for the heat capacity of steel is

Q: Air from outside enter a car cabin with 3000 cfm at 85°F (db), 65% relative humidity, it required to…

Q: Two solid shafts are connected by gears as shown. Knowing that G = 77.2 GPa for each shaft,…

A: The modulus of rigidity of shafts are .The torque applied is

Q: The cylinder shown in Fig. 16-15a rolls without slipping on the surface of a conveyor belt which is…

Q: A mass of 4lb of ammonia, initially at p1 = 110 lbf/in2. [abs] and T1 = 340⁰F, undergo a constant…

Q: mospheric pressure, water melts as the temperature increases from 270K to 280K because a. the…

A: The melting point of an object, water is the temperature at which it transitions from a solid phase…

Q: 25mm 150mm Ł 20mm 200mm 20mm Figure 1: Cross section The beam is made from three sections welded…

A: sectional properties :Location of N.A from the top;moment of inertia about the N.ABending…

Q: Air enters the turbine of a gas turbine at 1200 kPa, 1200 K, and expands to 100 kPa in two stages.…

A: Assumptions:Since working fluid in gas turbine cycle is air, hence assume cold air standard analysis…

Q: If the LHV of wood logs is 16 MJ/kg, how much energy is available for 2 kg of wood logs? If I burn…

Q: An ideal gas mixture at T₁-300 K, p₁-6 bar, and V₁=20 liters is isothermally expanded to V₂=40…

Q: A mass that weighs 8 lb stretches a spring 24 inches. The system is acted on by an external force of…

Q: Determine the internal normal force, shear force, and bending moment at point E. 2 kN/m 3 m 6 kN m B…

A: According to the given dataw is the force per unit length at point EWe need to findInternal reaction…

Q: A person living in a 5m × 5m × 5m room turns on a 130 W fan before he leaves the warm room at 100…

Q: R A body with a weight of 5 pounds force hangs from a spring with constant 8/5 Ib/ft. The medium in…

A: The weight of body is .The spring constant is .The friction force is The initial condition are

Q: 0.335m B 0.19m C 1.75m D 0.19m E 0.335m F

A: To determine the deflection at a,b,c,d,e,f with the Young's modulus given as and

Q: velocity and acceleration polygons, solve assp

Q: ion and Force An X b Answered: Statics of Particle and x 401Asg01: Statics of Particles X +…

Q: Although it may be hard to do physically, it is not hard to imagine a circular membrane with a free…

Q: Air is expanded from 320 psia and 500°F to 100 psia and 50°F. Assuming constant specific heats,…

Q: Three forces are applied to the machine component ABD as shown. Knowing that the cross section…

Q: Q=20 cfs P₁ = 15 psi F₁ Ví 36.m 245 Fiy √₂ F₂ 12 / P₂ = 14.78 psi Solive for both Fix, FMy. F=√ dz…

Q: Go to page 1 vater vapor flowing at a rate of 300.0 mol/h is brought from 600.0 °C and 10 bar to…

Q: e high-pressure turbine at 10 MPa and 500°C enser as a saturated liquid at a pressure of 1 hermal…

A: The net power output is .The steam enters the high-pressure turbine at .The steam enters the…

Q: Locate all the instant centers for the mechanism in Problem 2-2) @2 YA 0₂ 45° A 105⁰ 4 X Note:- • Do…

A: It is asked to draw the I-center of the given mechanism

Q: Ex: A centrifugal pump delivers (0.07 m³/s) of water at (1500 rpm) and the velocity of flow through…

Q: ل Q = 20cfs P - 15 : F, 36in محياه E N { P₂² - 24 in 5° با = 14.7 8 Ps

Q: Question 5: A copper bar 35 cm long, with square cross-section 2 cm x 2 cm is fitted with a…

Q: Which equation from the superposition table would provide the deflection at A? 6 ft H 2.5 kips/ft 9…

A: Given Data:w=2.5 kips/ftL=15 ft

Q: 2. Draw the shear and moment diagrams for the beam; explain the diagrams A 5 m 3 m 10 kN 2 m B

A: Draw the shear and moment diagrams for the beam; explain the diagrams.

Q: Consider a mass spring system with m = 1 kg, ß = 8 kg/s and k = 16 N/m. Find the displacement of the…

Q: 3- For the plane truss with an inclined support shown below, solve for the nodal displacements and…

Q: Problem 1 During the isothermal heat addition process of a Carnot cycle, 2000 kJ of heat is added to…

A: Heat added to the cycle is: ΔQ=2000kJThe temperature of the source is: T=500∘C=773K

Q: Add the energy grade line (EGL) as a solid line and the hydraulic grade line (HGL) as a dashed line…

A: Given:To find:Draw the EGL and HGL.

Q: temperature difference of 85°C is impressed across a fiberglass layer of 13 cm ickness. The thermal…

A: Temperature difference across a fibreglass, Thickness of the fibreglass, Thermal conductivity of…

Q: The tractor shovel carries a 981 N load of soil having a center of mass at G. Compute the force…

A: Internal Forces on Two-Force Members:To keep a structure in equilibrium, internal reactions are…

Q: You have compressed liquid propane in a 5 ft³ closed rigid vessel at 6000 psia and 300 °F but for…

A: The initial state (State 1) of the propane is at 6000 psia and 300°F, and the properties at this…

Q: F prisp 1/2 √2/2 use symmetry to Find reactions and draw moment diagram using. unit load w/ method…

A: Length of the supported beam is : find: Reaction and Moment diagram

Q: Determine the bending moment diagram and determine the magnitude of the pending moment when x = 1.75…

A: To calculate the bending moment and to draw the bending moment drawinggivenlength of the beam,…

Q: 7. Draw the thermal resistance network between the two outer surfaces for the system shown below.…

A: Given:To find:Draw the thermal resistance network.

Q: Determine the center of gravity of the following shape. .06 10'-0" 6'-0" 6'-0" 20.0¹ 10'-0" 90°…

A: The center of gravity of the composite area:

Q: A steam power plant operates on an ideal regenerative Rankine cycle. Steam enters the turbine at 6…

A: The steam enters theturbine at .The steam is extracted from turbine at .The condenser pressure is .

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

This is Mechanical Engineering. Please answer with clear work and answers. Thank you

4- For the beam shown in Figure, determine the displacements and the slopes at the nodes, the
forces in each element, and the reactions.
E = 30 x 106 psi, and I = 200 in*.
-20 ft-
3
-20 ft-
500 lb
0.5 in. gap

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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: Write the given data and what is to find

VIEW

Step 2: Write the elemental stiffness matrix:

VIEW

Step 3: Write the global stiffness matrix:

VIEW

Step 4: Determine the nodal displacements and the nodal slopes:

VIEW

Step 5: Continued:

VIEW

Solution

VIEW

Step by step

Solved in 6 steps with 8 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

The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
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.
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 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 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.
The plane frame shown in the figure is part of an elevated freeway system. Supports at A and D arc fixed, but there are moment releases at the base of both columns (AB and DE) as well as in column BC and at the end of beam BE. Find all support reactions; then plot axial-force (N), shear (F), and moment (M) diagrams for all beam and column members. Label all critical N, V, and M values and also the distance to points where any critical ordinatcs are zero.
A beam with a semicircular cross section of radius r is subjected to a bending moment M having its vector at an angle 9 to the z axis (see figure). Derive formulas for the maximum tensile stress tcand the maximum compressive stress tc in the beam for 0 = 0,45º and 90º, Express the results in the form or A/r where a is a numerical value.
A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure. The wood beams, which have a thickness I = 2.5 in., are simply supported by horizontal steel beams at A and Ä Construct a graph showing the maximum bending stress tram in the wood beams versus the depth d of the water above the lower support at B. Plot the stress0mas(psi) as the ordinate and the depth d(ft) as the abscissa. Note: The weight density y of water equals 62.4 lb/ft3.
A beam A BCD rests on simple supports at B and C (see figure). The beam has a slight initial curvature so that end A is 18 mm above the elevation of the supports and end D is 12 mm above. What moments Mtand M^, acting at points A and Dtrespectively, will move points A and D downward to the level of the supports? (The flexural rigidity EI of the beam is 2.5 X 106 N m2 and L = 2.5m).
Find support reactions at A and D and then calculate the axial force N, shear force V, and bending moment M at mid-span of AB. Let L = 14 ft, q0 = 12 lb/ft, P = 50 lb. and = 300 lb-ft.
The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli of elasticity are TA= 75 GPa and Es= 200 GPa. Under the action of a bending moment that produces a maximum stress of 50 M Pa in the aluminum, what is the maximum stress xs in the steel? If the height of the beam remains at 120 mm and allowable stresses in steel and aluminum are defined as 94 M Pa and 40 M Pa, respectively, what heights h and h. arc required for aluminum and steel, respectively, so that both steel and aluminum reach their allowable stress values under the maximum moment?
A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to the 2 axis (see figure). Determine the orientation of the neutral axis and calculate the maximum tensile stress et and maximum compressive stress ecin the beam. Use the following data: C 8 × 11.5 section, M = 20 kip-in., tan0=l/3. See Table F-3(a) of Appendix F for the dimensions and properties of the channel section.