A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm. y O L 9 ↓ L B X Figure Q3 20mm 10mm H 20mm 180mm -220mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)

A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm. y O L 9 ↓ L B X Figure Q3 20mm 10mm H 20mm 180mm -220mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.4.17P: A W 12 x 35 steel beam is fixed at A. The beam has length L = 6 ft and is subjected to a linearly...

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A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
A simple beam of span length 3.2 m carries a uniform load of intensity 48 kN/m, The cross section of the beam is a hollow box with wood flanges and steel side plates, as shown in the figure. The wood flanges are 75 mm x 100 mm in cross section, and the steel plates are 300 mm deep. What is the required thickness t of the steel plates if the allowable stresses are 120 M Pa for the steel and 6,5 M Pa for the wood? (Assume that the moduli of elasticity for the steel and wood are 210 GPa and 10 GPa, respectively, and disregard the weight of the beam.)
Beam ABCD represents a reinforced-concrete foundation beam that supports a uniform load of intensity q1= 3500 lb/ft (see figure). Assume that the soil pressure on the underside of the beam is uniformly distributed with intensity q2 Find the shear force VBand bending moment MBat point B. Find the shear force Vmand bending moment M at the midpoint of the beam.
The cantilever beam AB shown in the figure is an S6 × 12.5 steel I-beam with E = 30 × 106 psi. The simple beam DE is a wood beam 4 in. x 12 in. (nominal dimensions) in cross section with E = 1.5 x 106 psi. A steel rod AC of diameter 0.25 in., length 10 ft, and E = 30 x 106 psi serves as a hanger joining the two beams. The hanger fits snugly between the beams before the uniform load is applied to beam DE. Determine the tensile force Fin the hanger and the maximum bending moments MABand MDEin the two beams due to the uniform load, which has an intensity q = 400 lb/ft. Hint: To aid in obtaining the maximum bending moment in beam DE, draw the shear-force and bending-moment diagrams.
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A weight W = 4500 lb falls from a height h onto a vertical wood pole having length L = 15 ft, diameter d = 12 in., and modulus of elasticity E = 1.6 × 106 psi (see figure). If the allowable stress in the wood under an impact load is 2500 psi. what is the maximum permissible height h?
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