{"page":"\n\n
\n
\n
\n
\n
\n\nVideo\n
\n

\nProof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1\n

\n
\n
\nGet Free Access for 10 Days!\n
\n
\n
\n
\n
\n
×
\n\n\n
\n\nPublisher:\n\nVirtually Passed\n\n\n
\n
\nThis video only proves the first formula; that the derivative of internal shear force wrt length along the bar is equal to the negative of the distributed load (dV/dx = -w). The second formula (dM/dx = V) is in Part 2. It's very easy to...\nThis video only proves the first formula; that the derivative of internal shear force wrt length along the bar is equal to the negative of the distributed load (dV/dx = -w). The second formula (dM/dx = V) is in Part 2. It's very easy to prove this formula for constant distributed loads linearly increasing distributed loads (like many textbooks do), but much harder to prove generally. The proof is very calculus heavy.\n
\n
\n\n
\n
\n
\n
\n

Resource Details

\n
\n
\n
\n
Curator Rating
\n
\n
\n
\n
\n
\n
Educator Rating
Not yet Rated
\n
\n
\n
\n
\n
Media Length
\n
11:20
\n
\n
\n
\n
\n
Grade
Higher Ed
\n
\n
\n
\n
\n
Subjects
Science
6 more...
\n
\n
\n
\n
\n
Media Type
Instructional Videos
\n
\n
\n
\n
\n
Source:
\n
\nVirtually Passed\n\n
\n
\n
\n
\n
\n
Date
\n
2013
\n
\n
\n
\n
\n\n
Language
English
\n
\n
\n
\n
\n
Audiences
For Teacher Use
2 more...
\n
\n
\n
\n
\n
Usage Permissions
Fine Print: Educational Use
\n
\n
\n
\n
\n
\n

Additional Materials

\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript\n
\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview\n
\n
\n
\n

Concepts

\n
\n
length, force, area, delta, formulas
\n
\n\n\n
\n
\n
\n
\n

Additional Tags

\n
\n
statics shear force and bending moment diagrams, distributed load, hand side, makes sense, unit length, orange rectangle, total area, length delta, rectangle, stands, calculus, slither, chunk, forces, epsilon, approaches 0, approaches, video, equal, minus, point, continue, order, analyze, bridge, draw
\n
\n\n\n
\n
\n
\n
\n

Classroom Considerations

\n
Best For: Explaining a topic
Video is ad-free
\n
\n
\n

Educator Ratings

\n
\n
\n
\n
\n
\n\nShow resource details\n
\n
\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Proof dV/dx = minus w and dM/dx = V for shear force and bending moment diagrams Part 1\" href=\"/subscription/new\">\"Proof\n\n
\n
\n
\n\n\n\n"}