A beam is subjected to equal bending moments of M, - 3600 N-m. The cross-sectional dimensions are b- 115 mm, c- 31 mm, d-66 mm, and t=4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis, (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative M- H (typ) K b. Answer: mm (a) y= i ! mm I,- i mm S= MPa (b) OH = MPa (c) OK = MPa (d) Omax

Q1) Three bars AB, CD and ED are used to support ACE beam. The three bares have modulus of elasticity E=200 GPa, cross sectional area A=500 mm2. Determine the ww normal stress in each bar due to load P. a a=280mm b=70mm C=1177mm L=1075mm P=775mm L E B D F

Compute for the maximum allowable distributed load o that can be applied to the simply supported beam as shown in Figure M-Va. The beam's cross section is detailed in Figure M-Vb. @(N/m) Allowable Stresses: Fiber Stress = +13.5 MPa / -12 MPa Transverse Shear Stress at NA = 900 kPa Transverse Shear Stress at Junction 800 2 m Figure M-Va 2 m Draw the flexural and shear stress distributions of the cross section. T 40 40 40 Figure M-Vb 40 120 mm

Q2/ The beam shown is made of a nylon for which the allowable stress is 24 MPa in tension and 30 MPa in compression. Determine the largest couple M that can be applied to the beam. 40 mm 15 mm M d = 30 mm 20 mm

The wood beam has a rectangular cross section in the proportion shown. The allowable bending stress iss =10 MPa. 500 N/m 1.5 b OB - x m 2 m 2 m Calculate the centroid of the cross section of the beam O (1.5b, 1.5b] O (1.5b/2), (1.5b/2)] O (0.(1.5b/2)] O (0,0) [(1.5b/2), 0] O (0, 1.5b)

The rigid bar DEFis welded at point D to the uniform steel beam AB. For the loading shown in figure 5, determine (a) the equation of the elastic curve of the beam, (b) the deflection at the mid-point C of the beam by double integration method Use E=29x106 psi and I= 2000 in4 X=4740

The rectangular plate is deformed into the shape shown by the dashed lines. Calculate the average normal strain along diagonal AC. and The average shear strain at corner A relative to the x,y axes.

3. An ASTM A36 structural steel beam 5.00 m long is placed between two rigid supports. When the temperature is 20°C, there is no stress in the bar. Compute the stress developed in the beam if the temperature rises to 45°C. Assume that the proportional limit is 235 MPa. a = 11.7 x 10-6 1/C° E = 207 GPa 4. In question 3, assume that the bar is free to elongate or shorten, calculate the change in the length of the bar if the temperature drops from 20°C to -20°C.

%D A cantilever beam has a cross-section and concentrated loads P1 = 30 kN and P2 = 10 kN, as shown. Write all answers in 2-decimal places. 35 mm 250 mm P1 P2 35 mm B 500 mm 1.8 m 3.2 m

Consider the beam below. If the beam is subject to a 20kN internal shear force, determine the maximum shear stress (in MPa) in the beam. The thickness of all pieces is 30mm.