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Structural Mechanics Questions -

Q1. A 150-lb bucket is suspended from a cable on the wooden frame. Determine the resultant internal loadings on the cross section at D, and at E.

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Q2. The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. Determine the resultant internal loadings acting on the cross section located at point C. The 300-N forces act in the -z direction and the 500-N forces act in the +x direction. The journal bearings at A and B exert only x and z components of force on the shaft.

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Q3. The plate has a width of 0.5 m. If the stress distribution at the support varies as shown, determine the force P applied to the plate and the distance d to where it is applied.  

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Q4. Determine the average shear stress developed in pin A of the truss. A horizontal force of P = 40 kN is applied to joint C. Each pin has a diameter of 25 mm and is subjected to double shear.

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Q5. The force applied at the handle of the rigid lever causes the lever to rotate clockwise about the pin B through an angle of 2o. Determine the average normal strain developed in each wire. The wires are un-stretched when the lever is in the horizontal position.

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Q6. The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average normal strain along diagonal BD, and the average shear strain at corner B.

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Q7. Determine the equivalent state of stress on an element at the point which represents (a) the principal stresses and (h) the maximum in-plane shear stress and the associated average normal stress. Also, for each case, determine the corresponding orientation of the element with respect to the element shown and sketch the results on the element.

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Q8. The state of sties at a Point in a member is shown on the element. Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium.

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