# HW11 - = 60 o find the normal and shear stress components...

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HOMEWORK PROBLEMS Week 11: Due Wednesday 23 November 1. The grain of the wooden block in Figure 1 is inclined at 75 o to the horizontal. If the block is loaded by the stresses shown, find the tensile stress perpendicular to the grain and the shear stress parallel to the grain. 1.2 0.8 1.5 1.2 0.8 0.8 0.8 1.5 all stress components are in MPa Figure 1 2. Figure 2 shows a glued lap joint between two pieces of wood of height 3.5 inches and thickness (into the paper) 1.7 inches. The glue fails in shear at a stress τ = 800 psi and in tension at σ = 400 psi. Assuming these two failure modes are independent of each other, what is the maximum angle θ for which the joint would sustain a tensile force F = 1000 lb with a safety factor of 2.5? F F θ glue Figure 2 1

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3. A thin-walled tube is fabricated from flat plate by wrapping the plate into a helix and welding along the seams, which make an angle α with the axis of the tube, as shown in Figure 3. The outside diameter of the tube is 60 mm and the wall thickness is 2 mm. If
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Unformatted text preview: = 60 o , find the normal and shear stress components transmitted across the weld line when the tube transmits a torque T = 1 kN m in the direction shown. T T α welds Figure 3 4. Figure 4 shows the stresses acting on an element of material. Sketch Mohr’s circle for this state of stress and hence determine the principal stresses σ 1 , 2 and the inclination of the planes on which they act. Illustrate your answer by sketching a rotated rectangular element of which the faces are principal planes, showing which principal stress acts on each face. 18 MPa 72 MPa 36 MPa 18 MPa 72 MPa 36 MPa Figure 4 2 5. Figure 5 shows the stresses acting on an element of material. What is the maximum value of the constant Q , if the tensile stress in the material is not to exceed 15 ksi. 10 Q 3 Q 5 Q 10 Q 5 Q 3 Q Figure 5 3...
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## This note was uploaded on 10/05/2011 for the course MECHENG 211 taught by Professor ? during the Fall '07 term at University of Michigan.

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HW11 - = 60 o find the normal and shear stress components...

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