The solid 1.25-in.-diameter rod is subjected to a uniform axial distributed loading along its length of w = 800 lb/ft. Two concentrated loads also act on the rod: P = 1900 lb and Q = 600 lb. Assume a = 20 in. and b = 40 in. Determine the normal stress in the rod at the following locations: (a) x = 13 in. (b) x = 39 in. B a b Answer: Ox=13in. = i psi Ox=39in. = i psi

Problem 4: The uniform sign weighs 1500 lb and is supported by pipe AB, which has an inner radius of 2.75 in and an outer radius of 3 in. If the face of the sign is subjected to a uniform wind pressure of 150 psf, determine the state of stress at points E and D and show the results on a 3-D stress element. 12 ft B 150 lb/ft? 6 ft E F D -C 3 ft A

A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 1480 mm2. Assume a = 1.3 m, b = 6.0 m, and c = 3.6 m. If P = 55 kN and Q = 75 kN, determine the normal stress in each member. P Q Answers: OAB = i овс= i JAC = i a B b с MPa (C) MPa (T) MPa (T)

The W-kg man stands in the position shown. If the center of gravity of the man is at Gand assuming that the contact point at C is smooth.a) Find the reactions at B and C. b) Determine the state of stress at point A on the cross section of the plank at sectiona–a (Cubic stress element in 2D).

Rigid bar ABC is supported by a pin at bracket A and by tie rod (1). Tie rod (1) has a diameter of 8 mm, and it is supported by double- shear pin connections at B and D. The pin at bracket A is a single-shear connection. The pin at B is 5 mm in diameter. Assume a = 570 mm, b = 285 mm, h = 360 mm, and 0= 65°. If the normal stress in tie rod (1) cannot exceed 190 MPa and the shear stress in pin B cannot exceed 120 MPa, determine the maximum load Pmax that can be supported by the structure. D (1) h B a Answer: Pmax i b kN

Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 13 kips, F₂ = 34 kips, and the normal stress in each rod must be limited to 22 ksi, determine the minimum diameter d₁ required for rod (1). A (2) d₁ F₂ B C O 1.087 in. O 0.823 in. O 0.541 in. O 0.867 in. O 1.003 in. d₂

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If the load has a weight of 2940 N, determine the magnitude of the maximum compressive normal stress developed on the cross section of the supporting member at section a- a, where L= 700 mm, and the radius r= 30 mm. Section a - a 98.089 MPa O 49.564 MPa 8.665 MPa 96.009 MPa O 96.945 MPa O 97.049 MPa

The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 10 mm2. The cross-sectional area of rod (2) is 18 mm2. For a uniformly distributed load of w = 2.4 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 5.25 m.

The bar has a cross-sectional areao of 490(10-6)m2. It is subjected to triangular axial distributed loading along its length which is 0 at x= 0 and 9 kN/m at x= 1.5 , and to two concetrated loads Determine the average normal stress in the bar as a function of x for 0 <_x < 0.6m