Answered: A wood beam carries the loading shown…

A wood beam carries the loading shown in the figure. Determine the smallest allowable width b of the beam if the working stress in bending is 14 MPa. 5kN/m w = 3 kN/m Cross-section b 1m 250mm 2m 1m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.10P: A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum...

See similar textbooks

Related questions

Q: Given that P = 50N, and the rod has mass = 0.370 kg with centroidal mass moment of inertia l =…

A: Given:- P = 50 N m = 0.370 kg I = 37/19200 kg-m² To Find:- a. The equation which can be used to…

Q: Cars A and B are traveling in adjacent highway lanes and at t = 0 s have the position and velocity…

A: Given t = 0 Velocity of A = 14 km/h Velocity of B = 25 km/hr Distance S = 979 m Acceleration of A =…

Q: diagram. This force causes both suitcases to slide to the right with a coefficient of kin bases and…

Q: An aluminum block (SG-2.5) has a dimension of 0.1 m x 0.1 m x h meters. It is floating in mercury…

Q: A spring is attached to points A and B as shown in the figure. The spring constant, k, is given…

Q: The 300 kg cylinder shown in the figure is wrapped with rope as shown and released from rest. Find…

Q: 6. A propeller shaft in a ship is 350 mm in diameter. The allowable working stress in shear is 50…

Q: The brace is supported by a bracket as shown below. Calculate the bearing stress at Surface A and…

Q: Draw the shear-force and bending-moment diagrams for the simply supported beam shown. Determine the…

Q: An adiabatic, steam (H2O) turbine operates in a steady-state, steady-flow manner. With a single…

Q: An engine has a thermal efficiency of 40%. It is used to drive a refrigerator having a COP of 5.0.…

Q: A horizontal venturi meter has a diameter of throat 150 mm and 250 mm for entrance. This venturi…

Q: Consider a modification of the cold air-standard Otto cycle in which the isentropic compression and…

Q: Draw the shear-force and bending-moment diagrams for the simply supported beam shown. Determine the…

Q: A new fuel for combustion was found to have the following composition: carbon 71.6%, hydrogen 4.8%,…

Q: Find the value of pressure Force=0.08 N Area=2 m2

Q: Prove that AXB| ² = A²B² - (A.B)²

Q: Air enters the compressor of an ideal air-standard Brayton cycle at 100 kPa, 27 °C, with a…

Q: Refrigerant 22 is the working fluid in a Carnot vapor refrigeration cycle for which the evaporator…

Q: For the beam shown, calculate the magnitude of the bending stress (in psi) at a point 1.14 in from…

Q: Sketch the P-V diagram of the Internal Combustion Engine showing the ideal cycles of a Diesel…

A: Fuel is consumed in the Diesel cycle to heat compressed air, which causes the piston to rise in…

Q: Find the sum and angle of two displacement vectors A and B Laying in the XY- Plane and given by A =…

A: Given data The given vectors are :A→ = 2 i^ + 2j^B→ = 2i^ - 4j^ We have to find the sum and angle of…

Q: A 3 mm diameter and 5 mm long electric wire is tightly wrapped with a 2 mm thick plastic cover of…

A: When heat flows radially outwards in case of cylindrical body then there exists a temperature…

Q: Determine the maximum bending stress (in Pa) for the beam shown belowif P = 1925 N, T = 4796 Nm, a =…

Q: on Q2) Consider a steam power plant that operates a simple Rankine cycle and has a net power output…

Q: 1. Locate the centroidal x and y of the composite figures. Use the reference axes provided.

Q: State and prove Dimension Theorem.

A: In mathematics, the dimension theorem for vector spaces states that all bases of a vector space have…

Q: Problem 2 The T-beam is constructed as shown. If each nail can support a shear force of 950 lb.,…

Q: 18-38. The spool has a mass of 50 kg and a radius of gyration of ko = 0.280 m. If the 20-kg block A…

A: Given Mass, M = 50 kg m = 20kg Angular velocity = 5 rad/s Find…

Q: Consider a modification of the cold air-standard Otto cycle in which the isentropic compression and…

Q: Consider the steady, two-dimensional velocity field given by V=(1.3+2.8x)/+(1.5-2.8y)/ Determine;…

A: Determine: (i) the fluid speed at origin; (ii) the location of stagnation point in the flow; and…

Q: Mechanism Another of the doohickeys analyzed by the Enthusiast Club is the crank-slider shown. The…

Q: (Q1 A hollow shaft has to transmit 6 MW at 150 rev/min. The maximum allowabl て 180 L=1 stress is not…

Q: The 45° strain rosette is mounted on the surface of a shell. The following readings are obtained for…

Q: Calculate the elongation of a solid steel shaft of SAE 1030 carbon steel 2 7/8 inches in diameter by…

A: Elastic modulus is often referred to as tensile modulus or elastic modulus. Every material has a…

Q: Find the compression length of a spring if a 100 pound weight if dropped from 8 ft onto a spring…

Q: 4) A factory manufactures chairs, tables and bookcases each requiring the use of three operations:…

A: Write the objective function and constraints. Objective…

Q: Let's consider a rod subjected to the shown axial forces. If we consider a linear elastic behavior,…

Q: When fluid flows through an orifice, the greater pressure is in the (inlet/outlet) part of the…

A: Concept: Water flow through orifice 1.When the water flow through an orifice (smaller diameter) ,the…

Q: Two beads are sliding freely on a horizontal rod. Use the following conditions. MA - 3 kg ma - 1 kg…

Q: 6. Find the C.O.P. of a refrigeration system if the work input is 30 KJ/kg and refrigeration effect…

A: From the data given in question, Work input to the refrigeration system = W = 30 kJ/kg Refrigeration…

Q: The mass center G of the 1235-kg rear-engine car is located as shown in the figure. Determine the…

A: Given Data The mass of the car is:m=1235 kg To find: The normal force under each of the front…

Q: Water enters the heater at 30°C and leaves at 150°F, what is the temperature difference in °C?

Q: A structure formed by the two bars AB and BG, joined by means of a bolt at B. At C it has a…

Q: A brick is released from rest 10 m above the level floor. Determine its speed when it is 2 m above…

A: Newton's equation of motion gives the relation between velocity, distance and time of a body moving…

Q: The rolling contact ball bearing are to be selected to support the overhung countershaft. The shaft…

Q: Exercise 3.5 Raw oil flows through a pipe of 30 mm diameter and entered a pipe 15 mm diameter. The…

A: Diameter of first pipe, d1=30 mm=0.030 mDiameter of second pipe, d2=15 mm=0.015 mThe volume flow…

Q: A Particle undergoes simple harmonic motion with a frequency of 10 HZ. Find the displacement X at…

Q: Q2: Determine the state of stresses at point A on the cross section of the pipe shown in Fig. D=50mm…

Q: For the beam shown, calculate the magnitude of the bending stress (in psi) at a point 1.14 in from…

Question

A wood beam carries the loading shown in the figure. Determine the smallest allowable
width b of the beam if the working stress in bending is 14 MPa.
5kN/m
Cross-section
w = 3 kN/m
b
250mm
1m
K
2m
1m

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 4 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 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 hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable shear force K that may act on the beam if the allowable shear stress is 36 MPa. c
Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the figure. What is the maximum permissible bolt spacing s if the shear force V = 80 kN and the allowable load in shear on each bolt is F = 13.5 kN. Note: Obtain the dimensions and properties of the W shapes from Table F-l(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)?
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 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.
An overhanging beam ABC with a rectangular cross section has the dimensions shown in the figure. A weight W = 750 N drops onto end C of the beam. If the allowable normal stress in bending is 45 MPa, what is the maximum height h from which the weight may be dropped? (Assume E = 12 G Pa,)
The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm, and A, = 280 mm. The beam is subjected to a shear force V = 68 kN. Determine the maximum shear stress tntijlin the web of the beam.
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?
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.
A hollow aluminum box beam has the square cross section shown in the figure. Calculate the maximum and minimum shear stresses tmaxand tminin the webs of the beam due to a shear force V = 28 k.
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?