Problem # 2 A cantilever beam, 75 mm wide by 200 mm high and 6 m long carries a load that varies uniformly from zero at the free end to 1500 N/m at the wall. (a) Compute the magnitude and location of the maximum flexural stress; (b) Determine the type and magnitude of the stress in a fiber 25 mm from the top of the beam at section 2.5 m from the free end.

The simply supported beam shown supports a uniformly distributed load of w = 50 kN/m. Assume x = 1.6 m, a = 3.5 m, b = 6.0 m, xk = 2.5 m. The cross-sectional dimensions of the beam are b₁ = 305 mm, t₁ = 23 mm, d = 480 mm, tw = 14 mm, and y = 85 mm. Determine the principal stresses and the maximum shear stress acting at point H. On a piece of paper, show these stresses on an appropriate sketch. ΧΗ พ bf H H B K Ун XK Ук b K a tw d

3.03 The beam shown below is an aluminum channel, C 100 × 50 × 25.79, positioned with the legs down so that the flat 100 mm surface can carry the applied loads. Compute the maximum tensile and maximum compressive stresses in the channel. 5000 N 2000 N 5200 N 225 mm 150 mm 150 mm 75 mm Cross section

A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm

90 mm, 90 mm 170 mm M 50 mm 37.5 mm Figure Q1 (a)

The beam shown will be constructed from a standard steel W-shape using an allowable bending stress of 40.4 ksi. Assume P = 51 kips, L1=6.6 ft, and L2=19.8 ft.   (a) Determine the minimum section modulus required for this beam.   (b) From the table below, select the lightest W shape that can be used for this beam.   (c) What is the total weight of the steel beam itself (i.e., not including the loads that are carried by the beam)?

glulam beam is loaded by uniformly distributed load pch at one end by point load. The beam has a rectangular cross-section with dimensions 115\times 270 mm^2 and is braced in a rigid direction a. calculate the maximum normal stress in the beam and indicate where it goes. sketch the normal stress distribution across the door section b. calculate the maximum shear stress in the beam, indicate where it goes sketch the shear stress distribution

(13) A spring has an overall length of 44.0in & sustains a load of 15,000lb @ its center. The spring has three full-length leaves & 15 graduated leaves with a central band 4.0in wide. All leaves are to be stressed to 60,000psi when fully loaded. The ratio of total spring depth to width is to be approximately 2.0. Determine: (a) the width & thick ness of the leaves; (b) the initial space that must be provided between the full length & the graduated leaves before the band is applied; (c) What load is exerted on the band after the spring is assembled?

Question 1 A composite beam ıs constructed from a wood beam (75 mm wide, by 150 mm hıgh) and a steel plate 75 mm wide The wood and the steel are securely fastened to act as a single beam Calculate the required thickness of the steel plate if the allowable compressıve stress ın 11 the wood is 14 MPa and allowable tensıle stress in the steel plate is 110 MPa GIven that the composite beam is subjected 1 2 to a positive bendıng moment M 8.5 kN.m, calculate maximum bending stress in the wood Assume that Ew 11 GPa and Eg = 200 GPa.