Question

Exercise 3: Consider a cantilever beam \"AB\" supporting a distributed load \"q\" in Figure \"3\". If a dummy load \"$q_B$\" is applied downwards at \"B\", use the strain energy techniques to determine the vertical deflection at end \"B\" of the beam and determine the angle of rotation $\theta_B$ at end \"B\" due to the moment \"$M_o$\".

          Exercise 3:
Consider a cantilever beam \"AB\" supporting a distributed load \"q\" in Figure \"3\". If a dummy load
\"$q_B$\" is applied downwards at \"B\", use the strain energy techniques to determine the vertical
deflection at end \"B\" of the beam and determine the angle of rotation $\theta_B$ at end \"B\" due to the
moment \"$M_o$\".

Exercise 3:
Consider a cantilever beam ÄBs̈upporting a distributed load q̈ïn Figure 3̈.̈ If a dummy load
$̈qBïs applied downwards at B̈,̈ use the strain energy techniques to determine the vertical
deflection at end B̈öf the beam and determine the angle of rotationat end B̈d̈ue to the
moment $̈Mo.̈

Added by Jeffrey L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hunza Gilgit

Step 1

This method involves applying a virtual force (for deflection) and a virtual moment (for rotation) at the point of interest and calculating the work done by these virtual loads. ### For Vertical Deflection at B ** Show more…

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Texts: Exercise 3: Consider a cantilever beam AB supporting a distributed load q in Figure 3. If a dummy load is applied downwards at B, use the strain energy techniques to determine the vertical deflection at end B of the beam and determine the angle of rotation at end B due to the moment Mo.