مقاومة المواد (3) Asimply supported beam L meters.long carries auniformly distributedload of 16kN/m over its entire lengthand has the cross section shown in theFigure. Find L to cause a maximumflexural stress of 40 MPa. Whatmaximum shearing stress is thendeveloped?140 mm20 mm20 mm160 mm

Answered: Image /qna-images/answer/b5e57ad4-b66e-47eb-843a-bd21fc5c4c24.jpg

Answered: Figure. Find L to cause a maximum.…

Engineering

Mechanical Engineering

Figure. Find L to cause a maximum. flexural stress of 40 MPa. What maximum shearing stress is then developed?

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used...

See similar textbooks

Related questions

Q: Given the plane element shown which is an element acted upon by combined stresses. a. Use Mohr's…

Q: Determine the x- and y-coordinates of the centroid of the shaded area. 35 35 X = y Answers: y = | 60…

Q: Water at an average temperature of 110°C and an average velocity of 5.5 m/s flows through a 7-m-long…

Q: When a train is traveling along a straight track at 2 m/s, it begins to accelerate at a = (60 v4)…

A: Here is the solution for the above question.

Q: Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to…

A: For the simply supported beam subjected to the loading shown, derive equations for the shear force V…

Q: A simply supported wood beam with a span of L = 15 ft supports a uniformly distributed load of w =…

A: According to the given dataL=15 inw=610 lb /ftWe need to findWidth of the cross-section(b)

Q: Calculation for drive system and rack/spur gear of a crane. System needs to able to climb an incline…

Q: Learning Goal: To be able to use the equation for relative acceleration between two points to find…

A: Given:The total length of member ABC is .The distance between A and B is .The angle .The…

Q: HW 3// A frictional pile with constant cross-section as shown in fig.3 is pushed into the soil to a…

Q: Use the convolution integral method to derive expressions for the response of an undamped system…

A: For figure the force function will be so the Duhamel Integral expression can be written as

Q: A 3-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch…

Q: The figure below shows the equipment used in determining the coefficient of linear thermal expansion…

A: FR = 24.5 inIR = 24.0 inTo find: DL = ?

Q: Neglecting losses, determine the x- and y-components of force needed to hold the tee (Fig. 3.63) in…

A: At 1-

Q: For the simply supported beam subjected to the loading shown, derive equations for the shear force V…

A: Given:Find:Support reactionsEquations for the shear force and bending moment within the beamShear…

Q: Determine the angular momentum Hp for the three masses A, B, and C (MA = mB = mc = 0.2 kg) when all…

A: The mass of the points A, B, and C Point P is locatedThe velocities of the masses are: Angular…

Q: Pressure loss along a pipe pumping water is 6.6Pa. If the pipe is 2.1m long, what angle (in degrees)…

A: To overcome the pressure drop along the pipe, we need to consider the effect of gravity on the water…

Q: A simplified model of a basketball hoop is shown. During a basket dunk a player hangs from the rim…

A: Given:Force applied by the player (F) = 320 lbsOutside length of the square tube (L) = 5…

Q: Statically Indeterminate Problems 2 Example 1 k A 200mm C 300mm 100-1900N B Determine the stress in…

A: Here are forces in wires attached to beam at A, B, and C, and point G is center of gravity of beam

Q: What is mechanical engineering explain in detail

A: It is one of the most versatile and diverse fields of engineering. It is the application of…

Q: The frame shown supports a crate that weighs W = 250 lb. Knowing that L = 1.1 ft, determine the…

A: According to the given dataW=250 lb L=1.1 ftr=0.4 ftWe need to findInternal force N,V and M at…

Q: HW2// The rigid bars AB and CD shown in fig.2 are supported by pins at A, C and the two rods.…

A: Here is the solution for the above question.

Q: With F = 2000 lb, determine the force in the link CA. Express in pounds using three significant…

A: According to the given data F = 2000 lbFree body diagram of the scoop is drawn belowWe need to…

Q: Are CNC programming, G codes, and M codes well covered?

A: Explain CNC programming, G codes, and M codes.

Q: A beam is subjected to equal 21.7 kip-ft bending moments. Assume t₁ = t₂=tw- 3 in., d = 15 in., b₁ =…

A: To Find- (a) the distance to the centroid (measured from the bottom), the moment of inertia about…

Q: A// Use Implicit Method to solve the temperature distribution of a long thin rod with a length of 9…

A: By taking one dimensional heat equation:

Q: what is 1.54 from?

A: Given:The length of CD is .The length of BC is .The length of AG is The length of AD is .Consider…

Q: A composite beam is made of two brass [E = 95 GPa] plates bonded to an aluminum [E = 74 GPa] bar, as…

A: A beam is said to be a composite beam if more than two beams are joined together to act as a single…

Q: Q1/At (20°C) a system of two bars AB (steel) and CD (Aluminum) as shown in figure. The temperature…

A: At (20°C) a system of two bars AB (steel) and CD (Aluminum) as shown in figure. The temperature of…

Q: A ball is thrown vertically upward from the surface of the earth with an initial velocity of 30 m/s.…

Q: For the element shown in the Figure, if the shear stress at aplane oriented 75° is 4 MPa, 4 By find…

A: Given-To Find-

Q: how did the equation simplify to a = 0.984?

Q: The figure (not to scale) shows a representation of a hoisting system. A couple is applied to the…

A: Initial angular velocity of A, Final angular velocity of A, Time interval

Q: Consider a gate-type valve with which the flow of air flowing at the inlet at 27 °C and 5 atm is…

Q: a b) Exercise 1. A.6 Determine the work Involved of ideal by 2 litres. gas maintained at 25°C under…

Q: Find by Mohr circle construction the natural frequencies and the corre- sponding amplitude ratios of…

A: The slope = 30 degreesWeight, Mg = 2mgThe Spring stiffness, K = 3k = 15 lb/in

Q: L2 Li 2) in y direction, (kNm, 3sigfig) = L3 The 25-m boom AB has a fixed end A. A steel cable is…

Q: Determine the reactions at the supports A and B, then draw the shear and moment diagrams. El is…

A: To Find-The reactions at the supports A and B, Draw the shear and moment diagrams.

Q: An air conditioning plant supplies air to a room at a rate of 1.26 kg/s, the supply air being made…

A: (a)(b)Using point O and point I enthalpy values,Enthalpy at point m (mixing point ) Also, W at point…

Q: How is done evaluation of whether the improvement is useful and which side of the pipe should be…

A: In order to choose the best strategy, it is necessary to weigh a number of aspects while assessing…

Q: Q1// The light rigid bar ABCD shown in Fig.1. is pinned at B and connected to two vertical rods.…

A: Here is the solution for the above question.

Q: a circular plate of 3m diameter is immersed in water in such a way that it makes an angle of 30…

A: D = 3 m The circular plate is 1m below the surface.

Q: Two masses, m³ = 3 slg and mc = 2 slg, are connected by a massless rod of length 1.5 ft. The masses…

Q: A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions…

A: Given:Load at point A, Uniform load between point BC, Length AB, Length BC, Length CD, Total length…

Q: Use Mohr's Circle to determine the maximum shear stress on the element, also using Mohr's Circle…

A: Given state of stress is-To find:The maximum shear stress on the element using Mohr's Circle and The…

Q: Given that a component is made of 0.1 wt.%C steel is carburized by introducing 1.0 wt.% carbon at…

A: D0</sub> = 0.2 cm2/sQd = 40,000 cal/molt = 1 hour = 3600 secx = 0.5 mm = 0.05 cmT = 980o C =…

Q: A simply supported wood beam with a span of L-8 ft supports a uniformly distributed load w. The beam…

A: According to the given dataA simply supported beam with uniform distributed load(w). WeWe need to…

Q: Exercise We consider an ideal Diesel Cycle whose compression ratio Amax - 18. The heat transfer er…

A: The compression ratio of diesel cycle is The heat addition to the cycle is The initial temperature…

Q: Calculate the response of damped SDOF subjected to a square wave as shown in Figure with T = 1 s and…

A: Here is the solution for the above question.

Q: Problem 16.137 At the instant shown in Eloun.) rod AB has an angular velocity wan 22 rad/s and an…

A: Given:The angular velocity of AB is .The angular acceleration of AB is .Formula used:The velocity of…

Q: Wind speed is measured as 3 m/sec at a height of 10 m. Plot wind speed as a function of height from…

A: For urban and stable conditions, the required value for the wind shear exponents,

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

مقاومة المواد

(3) Asimply supported beam L meters.
long carries auniformly distributed
load of 16kN/m over its entire length
and has the cross section shown in the
Figure. Find L to cause a maximum
flexural stress of 40 MPa. What
maximum shearing stress is then
developed?
140 mm
20 mm
20 mm
160 mm

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: calculate the section modulus

VIEW

Step 2: finding the length of beam

VIEW

Step 3: calculate the maximum shearing stress

VIEW

Solution

VIEW

Step by step

Solved in 4 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 rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 120 mm and h1= 100 mm. The maximum allowable bending stress in the plastic beam is emix = 6 M Pa, and the bending moment is M = 150 N · m. Determine the minimum permissible width bminof the beam.
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
The three beams shown have approximately the same cross-sectional area. Beam 1 is a W 14 X 82 with flange plates; beam 2 consists of a web plate with four angles; and beam 3 is constructed of 2 C shapes with flange plates. Which design has the largest moment capacity? Which has the largest shear capacity? Which is the most economical in bending? Which is the most economical in shear? Assume allowable stress values are: = 18 ksi and ra=11 ksi. The most economical beam is that having the largest capacity-to-weight ratio. Neglect fabrication costs in answering parts (c) and (d) above. Note: Obtain the dimensions and properties of all rolled shapes from tables in Appendix F.
A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 0,88 in. and h1 = 0.80 in. The maximum allowable bending stress in the metal beam is emax = 60 ksi, and the bending moment is M = 600 lb-in. Determine the minimum permissible width bminof the beam.
A steel beam is built up from a W 410 × 85 wide flange beam and two 180 mm X 9 mm cover plates (see figure). The allowable load in shear on each bolt is 9.8 kN. What is the required bolt spacing s in the longitudinal direction if the shear force V = 110 kN Noie: Obtain the dimensions and moment of inertia of the W shape from Table F-l(b).
A wood box beam is constructed of two 260 mm × 50 mm boards and two 260 mm × 25 mm boards (sec figure). The boards are nailed at a longitudinal spacing. b = 100 mm. If each nail has an allowable shear force F = 1200 N. what is the maximum allowable shear force Vmax?
Solve the preceding problem for a column with e = 0.20 in,, L = 12 ft, I = 2L7in4, and E = 30 × 106psi.
A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q = 3.0 kips/ft on a span of length L = 12 ft (sec figure). The dimensions of the cross section are q = 10.5 in., b = 5.81 in., t1= 0.510 in., and fw = 0.300 in. Calculate the maximum shear stress tjuly on cross section A—A located at distance d = 2.5 ft from the end of the beam. Calculate the shear stress rat point Bon the cross section. Point B is located at a distance a = 1.5 in. from the edge of the lower flange.
A rectangular beam with notches and a hole (see figure) has dimensions h = 5.5 in., h1= 5 in., and width b = 1.6 in. The beam is subjected to a bending moment M = 130 kip-in., and the maximum allowable bending stress in the material (steel) is emax = 42,000 psi. What is the smallest radius Rminthat should be used in the notches? What is the diameter dmixof the largest hole that should be drilled at the mid height of the beam?
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.
A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension don each side) and E = 12 GPa. If the allowable bending stress in the wood is °aLLow =10MPa, what is the minimum required dimension
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.