The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h and inversely proportional to its length L.(a) Write an equation that expresses this proportionality.(b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb.(c) If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support?

The maximum weight M that can be supported by a beam is jointly proportional to its width w and the square of its height h and inversely proportional to its length L.(a) Write an equation that expresses this proportionality.(b) Determine the constant of proportionality if a beam 4 in. wide, 6 in. high, and 12 ft long can support a weight of 4800 lb.(c) If a 10-ft beam made of the same material is 3 in. wide and 10 in. high, what is the maximum weight it can support?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter10: Force And Force-related Variables In Engineering

Section: Chapter Questions

Problem 29P: A structural member with a rectangular cross section as shown in the accompanying figure is used to...

See similar textbooks

Similar questions

A structural member with a rectangular cross section as shown in the accompanying figure is used to support a load of 2500 N. What type of material do you recommend be used to carry the load safely? Base your calculations on the yield strength and a factor of safety of 2.0.
2. Given: X = 100 kg; Y = 150 kg Solve for the acceleration of block X in m/s2 for Case 2. Ignore the friction and mass of pulleys. (3 significant figures)
Step by step A cylinder with a specific weight of 40 lb/ft^3 and floats in water (62.4 lb/ft^3) as shown below. If the cylinder has a diameter of 0.5 ft and a total height of 3 ft, calculate (a) the buoyant force on the cylinder , and (b) the depth that cylinder is submerged in the water.
The block weighing 1 kN is subjected to the forces as shown. Assuming the block starts at rest, calculate the distance it will travel in meters so that it will have a speed of 6 m/s . Coefficient of kinetic friction between the block and the surface is 0.2 and the air resistance (as a function of displacement) is assumed to act horizontally with a magnitude of 150s Newtons, where s is the displacement from the starting position. Answer in 2 decimal places.
Need help experts. The rigid body shown in the figure is subjected to the indicated force system. Determine the forces applied at points A and E that equal the applied force system.Data: β = 48°; a = 6,6 m; b = 8,9 m; F = 31 kN; P1 = 20,743 kN; P2 = 23,037 kN The force applied at point A is FA = ? Answer kN and the force applied at point B is FB = ? Answer kN.
The figure shown is formed of 1/8 -in.-diameter steel wire. Knowing that the specific weight of the steel is 490 lb/ft3 , determine the mass moment of inertia of the wire with respect to each of the coordinate axes.
Problem 9. For the tank shown in the figure, the following dimensions apply: h1=3.00m h2=4.50m w=2.50m y=9.81kN/m^3. Compute the horizontal component of the resultant force on the curved surfaces.a. 168.0 kNb. 158.0 kNc. 148.0 kNd. 138.0 kNe. 128.0 kNf. 118.0 kN
A cantilever beam carries a varying load as shown in the figure. If E = 200,000 Mpa and I=120×10^6 mm^4 Determine the following. Use Double Integration Method 1. Slope at free end 2. Deflection at 4m from the support
A string is wrapped around the hub of the spool. a pull at the end of the string causes the spool to roll on the horizontal plane without slipping. At a certain instant, the angular velocity and angular acceleration of the spool are as shown in the figure. For this instant, find (a) the acceleration of the point D on the spool; (b) the acceleration of point B ; and (c) the acceleration a0 of the end of the string.
An object with a mass of m=4.7 kg is attached to the free end of a light string wrapped around a reel of radius R=0.270 m and a mass of M=3.00 kg. The reel is a solid disc, free to rotate in a vertical plane about the horizontal axis passing through its center as shown in figure below. The suspended object is released from rest 7.00 m above the floor. Determine tension in the string. Determine the magnitude of the acceleration of the object. Determine the speed with which the object hits the floor.
2. A beam rests on a fulcrum, 1.2 m from one end. A weight of 350 kg is suspended from this end causing the beam to balance. If the weight of 350 kg is suspended on the opposite end of the beam, it is necessary to suspend a 1000 kg weight on the first end in order to affect an even balance. Find the length of the beam in mm.
The beam in the figure as shown has negligible weight and the pulley is frictionless, if the system hangs in equilibrium when w1= 500 N, determine w2.