For the cantilever beam arrangement shown below, address the following: (a) Determine the forces acting on the plane (y-z) containing point B. (b) Determine the stress state at point B. 400 lb 500 lb X 1.5 in. 1.5 in. 10 in. 1 in.

Problem B-1 [Statically Indeterminant Problem – Axial Loading] A solid circular composite bar (made of aluminum in segment AB, steel in segment BC and Brass in Segment CD) is fixed to two rigid walls without any initial internal stresses. If two axial loads FB = 200 kN and Fc=100 kN are applied to the bar at locations B and C, respectively, as shown in the figure, determine the normal stress developed in the axial direction of each segment of the bar. C A В Aluminum Steel Brass FB= 200 kN Fc=100 kN LẠI = 250 mm AA= 400 mm² EA = 60 GPa Ls = 200 mm Ast = 600 mm² Est = 200 GPa LBr = 200 mm Авг 2000 mm? EBr = 80 GPa Note: the length (L), cross sectional area (A) and Young's modulus (E) of the three segments are given in the figure, respectively. Upload Choose a File

Using the figure and loadings given, find the forces in all members, then find the average normal stress in member BE knowing the cross-sectional area is 5.87 in?. PROBLEM 1.12 For the Pratt bridge truss and loading shown, determine th average normal stress in member BE, knowing that the cros sectional area of that member is 5.87 in. 12 ft 9 ft--9 ft - -9 ft- 9 ft- so kips s0 kips so kips

The beam supports the triangular distributed load shown below with Wmax = 900 lb/ft. The reactions at A and B are vertical. (Figure 1) Figure AT PORCE 6 ft D 6 ft C 6 ft W IB TODAY E 4.5 ft 4.5 ft Part A Determine the magnitude of the resultant internal normal force on the cross section at point D. Express your answer in kilopounds to three significant figures. ND= Submit Part B Vp= Submit Part C ΠΙΑΣΦΗΜ Mp= Avec Submit Request Answer Determine the magnitude of the resultant internal shear force on the cross section at point D. Express your answer in kilopounds to three significant figures. ΠΙΑΣΦΩΤ Request Answer n Request Answer vec 1 → C vec S S ? Determine the magnitude of the resultant internal bending moment on the cross section at point D. Express your answer in kilopound-feet to three significant figures. [Γ]ΑΣΦ [4 O I ? kip ? kip kip.ft

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.

Determine the force in bars BD, CD and DE of the nacelle truss shown in figure.

a) Determine the tensile force T’ in the rope on the side connected to joint B: b) Determine the internal compressive normal force ƒBC in the tube BC: c) Determine the horizontal reaction force Rx and the vertical reaction force Ry in joint A: d) Determine the moment M of the center of bar AB: e) Determine the compressive stress σBC in the tube BC: f) Determine the critical load Pc for the tube BC: g) Which of the following statements about the tube BC is correct: A. The tube BC fails due to yielding B. The tube BC fails due to buckling C. The tube BC fails due to both yielding and buckling D. The tube BC is safe against both yielding and buckling h) Pin C has a diameter of 30 mm; calculate the shear stress τ of the pin C, when considering one cross-section for shear stress calculation:

3. A rectangular solid bar of width 20mm and depth 35mm is subject to a pure positive moment of 450Nm. Calculate the stress in the bar and sketch the stress distribution through its thickness along the centre line. 4. The bar in Q3 is also subject to a tensile load of 15kN applied at the centroid of area. Calculate the stress in the bar and sketch the stress distribution through its thickness along the centre line.

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