how to calculate shear stress
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Posted by: mechstudent ® 11/19/2007, 01:11:00 Author Profile eMail author Edit

Hi, help! This is my first time to post on this forum, was wondering if you could accommodate a newbie mechanics student. Have been working on several problems but can't seem to figure out which formulas to use to calculate shear stress and 'moment of inertia' for the following problem (.jpg attached), I would appreciate some help, thank you so much:

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: how to calculate shear stress
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Posted by: ersiddhantgarg ® 12/13/2007, 12:36:03 Author Profile eMail author Edit

hi i m also a mech student your problem of calculating shear stress can be easily calculate by drawing sfd(shear force diagram)

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Posted by: bandit ® 11/19/2007, 06:44:39 Author Profile eMail author Edit

In order to calculate "Moment of Inertia" you have to use the "Steiner Theorem" in case that the origin point is not on the c.g. of the particle. Io = I + (A * d^2) [mm^4] (where I is the moment in accordance to the particle's shape - box, sphere etc - , A is the area of the particle's vertical section and d is the distance of the c.g. of the particle to the origin point) To calculate shear stress the following formula is used: τ = W/A [N/mm^2] (where W is the applied load and A is the area of the particle's vertical section) In your case, you must calculate a sum force F and the point where it is loaded on the particle, so as to calculate both the moments of inertia and the particle's shear stress. Do not forget to compare the stress calculated, to the break load for shear if given.

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Posted by: mechstudent ® 11/19/2007, 07:43:18 Author Profile eMail author Edit

Hi bandit, THANK YOU so much for this clear and helpful explanation.

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