1. Determine the centroid of the lines that form the boundary of the shaded area as shown in figure below. Assume all dimensions in cm. (8 = 5.26 cm; 9 = 5.41 cm) 17 AM

Q: Find the center of the figure below ({bar{x}} , {bar{y}), inertia moment I _{x} , and I _{y}.

A: Since the given figure is symmetric about the line bisecting it therefore the centroid of this…

Q: The cross section of a bearing block is shown in the figure by the shaded area. Calculate the moment…

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Q: For the beam in shown in the figure, determine the vertical displacement in c6, and the turn in Bo,…

A: The flexural rigidity is constant .

Q: The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled…

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Q: Q/1-B: For the solid geometry shown in figure below, construct the required CSG tree.

A: Find Construct the required CGS tree.

Q: b) A simply supported beam has a rectangular cross-section with a second moment of area (I) of 11.50…

A: Step 1: bending equation  Step 2: Step 3: Step 4:

Q: 61

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Q: A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same…

A: Find the value of h.

Q: mm. Determine the second moment of area of the cross section

A: To find Second moment of inertia of cross section

Q: Verify the given moments of inertia and find x and y.

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Q: Given:  Ix1=8.32x107 mm4 Ix=Ixc= centroidal axis  Find: Ix2

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Q: The figure below represents the geometry of a beam that has a T-shaped cross-section. W h Find the…

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Q: Q-2 For a beam of hollow rectangular section of outer geometry of b x d and the inner geometry of b₁…

A: Given: Area moment of inertia about its axis passing through the plane (the plane of area of cross…

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.