A simply supported wood beam with a span of L = 24 ft supports a uniformly distributed load of wo = 350 lb/ft. The allowable bending stress of the wood is 1.45 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 2.00, calculate the minimum width b that can be used for the beam. 2L Answer: b = i in.

A simply supported wood beam with a span of L = 24 ft supports a uniformly distributed load of wo = 350 lb/ft. The allowable bending stress of the wood is 1.45 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 2.00, calculate the minimum width b that can be used for the beam. 2L Answer: b = i in.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.7.12P: A simple beam ACE is constructed with square cross sections and a double taper (see figure). The...

See similar textbooks

Similar questions

A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). Obtain a formula for the maximum bending stress ^ma* due to tne filing weight in terms of h, st, and 5st, where it is the maximum bending stress and Sstis the deflection at the midpoint when the weight W acts on the beam as a statically applied load. Plot a graph of the ratio o"max/ö"it (that is, the ratio of the dynamic stress to the static stress) versus the ratio iifS^r(Let h/S^ vary from 0 to 10.)
A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.
Compute the maximum bending moment, maxi- mum deflection and the maximum bending stress for a railroad rail subjected to a single wheel load of 100 kN. The foundation modulus k = 15 MN / m². Assume that I = 400 × 10-8 m², E = 200 GN/m², the depth of the rail is 180 mm and that the distance of the centroidal axis of the cross-section of the rail from the top surface is 100 mm.
The cantilever beam shown is subjected to a concentrated load of P=70800 lb. The cross-sectional dimensions and the moment of inertia of the W16x57 wide-flange shape are: d = 16.4 in. tw=0.430 in. by=7.12 in. ty=0.715 in. 1₂-758 in.4 Compute the value of the shear stress at point H, located at y = 4.8 in. below the centroidal xis. H Answer: Shear stress = psi
For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.
A cantilever beam L meters long carries a uniformly distributed load of 6.8 KN/m over its entire length and has the cross section shown . Find L in meters to cause a maximum flexural stress of 110 MPa. All dimensions are in mm.
The simply supported beam carries a uniformly distributed load over parts of its length. Compute (a) the midspan slope and deflection, (b) the slope and deflection at point C. Segment AC’s beam property is worth EI and segment BC’s beam property is worth 2EI. E = 200 GPa, I = 80x106 mm4. Solve problem using the Area Moment Method.
Draw the shear and moment diagram of the cantilever beam shown below. For this part, please show the necessary solutions using the long method, not the area moment method. 10 kip 8 kip 3 kip/ft 40 kip-ft 6 ft 4 ft
A simply supported beam is shown. The maximum bending moment is at B. Use the method of sections to determine the moment at B. Then determine the required section modulus needed for an allowable bending stress of 24 ksi. Verify that two L4x3 angles placed as shown will support the loading based on the angle thickness you select using Appendic C. Ans: Ms = 4350 Ib-ft %3D 2000 Ib 300 lb/ft 6 in, CTI 4 in. 3 ft 3 ft
3. For the structure carrying a uniform load of 4 kN/ m, compute the internal axial force, shear force, and Answer: Vc = 2 kN, Mc = 4 kNm, Nc = 24 kN bending moment at point C in the beam. 4 kN/ m |C B 3 m 2 m -2 m 2 m
The beam shown below is subjected to a point load of 10kN and a uniformly distributed load of 3kN/m, and is supported at A by a pinned connection (with an upwards vertical reaction force of 18KN) and at C by a roller connection (with an upwards vertical reaction force of 4kN). Calculate the bending moment at the cut point at B. Give your answer in kNm to 2dp. 4m to 4m 2m | 2m 10kN | 3kN/m A 18kN 4kN
Consider the following values in the given beam above: L1=6m L2 = 2 m L3 = 4 m L4=3m L5=2 m L6=1m W1 = 90 kN/m W2 = 30 kN/m P = 50 kN M = 60 kN-m Point E is an internal hinge W1 B L2 L3 2 m E W2 L5 L6 H