Fixed end 4.25 KN.m 0.3m 5KN · 100 KN 100 KN 0.4 m 3.0 KN.m 5 KN 200 KN 200KN 0.1 m Find the axial, torsional, bending and transverse shear stresses at the four critical points (top, bottom, left and right) of the central cross section. Draw the stress state cubes and then represent them as plane stress states, if applicable. This stainless steel beam has a circular cross section and a diameter of 7 centemeter

For the beam shown at right, determine the following: P= 1800 lb a. Maximum tensile bending stress b. Transverse shear stress at a the junction of the "TEE" (i.e., 2" above the neutral axis). c. Transverse shear stress at the neutral axis - 7.5 ft- - 7.5 ft- (a) d. Draw the stress elements -10 in. representing the state of stress at the junction of the “TEE" and at the neutral axis. | 2 in. 4 in. -N- 1600 10 in. 8 in. 42 in.k- (b)

What is the maximum length of a uniformly loaded, simply supported beam based on the maximum allowable stresses, its normal stress of 90MPa and its shear stress of 100MPa? The uniform load is 10kN/m. The area is b = 20mm and h = 80mm

The built-up beam is subjected to a moment of M = 80 kNm. Variable d₁ d₂ d3 da Values for the figure are given in the following table. Note the figure may not be to scale. d5 d3 de d₁ Value 128 mm 22 mm 276 mm 11 mm 138 mm d4 12 mm M₁ de d5 a. Determine the distance from the Neutral Axis to the top of the beam, N.A. b. Determine the mass moment of inertia of the beam, I. Determine the max compressive stress acting on the beam, compression c. d. Determine the max tensile stress acting on the beam, tension.

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

Problem 2 6-53. Determine the moment M that should be applied to the beam in order to create a compressive stress at point D of op 30 MPa. Also sketch the stress distribution acting over the cross section and compute the maximum stress developed in the beam. 25 mm 150 mm 25 mm 25 mm A B 150 mm M 25 mm

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

2 kip/ft 6 in 10 in B. 40 kip 16 in D. 16 In 5 ft 5 ft 10 ft The simply-supported beam-column above is subjected to a uniformly distributed load and an axial load, as shown. Assume that the Internal resultants on the cross-section passing through point D are as follows: • ND -40 kip • VD 0 Mp = +100 kip-ft Which of the following is closest to the longitudinal normal stress at point D? O-78.1 psi +235 psi O-153 psi O-1.77 ksi H:

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