Type in your answer/s rounded off to 2 decimal places except for whole numbers. (ex: 10.67, 28, 732.40)If your answer is 120.00 , write 120DO NOT INCLUDE THE UNITS IN YOUR ANSWER. JUST ITS VALUE AND THE (-) SIGN IF APPLICABLE (ex: 10, 0.30, -3, -0.20)Include the negative sign if your flexural stress, shear stress, shear force, bending moment is negative. DO NOT leave a space between the negative sign and the value. QUESTION 7A beam is loaded as shown in the figure. F = 2000 lb.b = 3 in, and h = 6 in.F3 ft9 fth12 ftR1R2a. Determine the maximum shear force in the beam in Ib.b. Determine the maximum bending stress in the beam in psi.C. Determine the bending stress in a fiber located 0.5 in. from the top of the beam at midspan in psi.

Answer: (a) The maximum shear force in the beam is 1500 lb. (b) The maximum bending stress in the…

A beam is loaded as shown in the figure. F = 2000 Ib, b = 3 in. and h = 6 in. F 3 ft 9 ft b h 12 ft R1 R2 a. Determine the maximum shear force in the beam in Ib. b. Determine the maximum bending stress in the beam in psi. c. Determine the bending stress in a fiber located 0.5 in. from the top of the beam at midspan in psi.

A beam is loaded as shown in the figure. F = 2000 Ib, b = 3 in. and h = 6 in. F 3 ft 9 ft b h 12 ft R1 R2 a. Determine the maximum shear force in the beam in Ib. b. Determine the maximum bending stress in the beam in psi. c. Determine the bending stress in a fiber located 0.5 in. from the top of the beam at midspan in psi.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.3.12P: The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of...

See similar textbooks

Similar questions

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?
The cross section of a channel beam with double flanges and constant thickness throughout the section is shown in the figure. Derive the following formula for the distance e from the centerline of the web to the shear center S:
What is the span length L of a uniformly loaded, simple beam of wide-flange cross section (see figure) if the maximum bending stress is 12,000 psi, the maximum deflection is 0.1 in., the height of the beam is 12 in., and the modulus of elasticity is 30 × 106psi? (Use the formulas of Example 9-1.)
The cross section of a rectangular beam having a width b and height h is shown in part a of the figure. For reasons unknown to the beam designer, it is planned to add structural projections of width b/9 and height d/9 the top and bottom of the beam (see part b of the figure). For what values of d is the bending-moment capacity of the beam increased? For what values is it decreased?
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 tapered cantilever beam A B of length L has square cross sections and supports a concentrated load P at the free end (sec figure part a). The width and height of the beam vary linearly from kAat the free end to hBat the fixed end. Determine the distance.y from the free end A to the cross section of maximum bending stress if hE= 3h4, What is the magnitude ffœai of the maximum bending stress? What is the ratio of the maximum stress to the largest stress B at the support? Repeat part (a) if load P is now applied as a uniform load of intensity q = P/L over the entire beam, A is restrained by a roller support, and B is a sliding support (see figure part b).
A beam ABC is fixed at end A and supported by beam DE at point B (sec figure). Both beams have the same cross section and are made of the same material. Determine all reactions due to the load P. What is the numerically largest bending moment in cither beam?
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 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.
The compound beam shown in the figure consists of a cantilever beam AB (length L) that is pin-connected to a simple beam BD (length 2L). After the beam is constructed, a clearance c exists between the beam and a support at C, midway between points B and ZX Subsequently, a uniform load is placed along the entire length of the beam. What intensity q of the load is needed to close the gap at C and bring the beam into contact with the support?
A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.
-6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m, the intensity of the uniform load q = 2.0 kN/m, and the maximum bending stress = 60 MPa, The cross section of the beam is square, and the material is aluminum having modulus of elasticity E = 70 GPa. (Use the formulas of Example 9-1.)