Frames Question: Analyzing Hinged Joints without Given Horizontal Forces

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In analyzing frames with hinged joints, it is crucial not to assume horizontal forces are zero without verification through equilibrium equations. Even in scenarios where only vertical loads are present, balancing horizontal forces may still exist. A practical example is a three-hinged arch structure, which consists of two inclined rods on hinged supports and carries a central point load. The discussion emphasizes the importance of thorough analysis to ensure accurate results. Proper understanding of forces in frame structures is essential for effective engineering solutions.
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In a frame with hinged joints, is it possible when i cut a piece, that if i don't have given horizontal forces GIVEN, i can assume all horizontal forces zero? Or do i have to leave that piece that gives me zero as the last piece i analyze?
 
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Can you please clarify this question with a sketch or description of a sketch?
 
You should never assume forces are zero without verifying it with an equilibrium equation. I can draw you pin-jointed frames with vertical loads only; yet balancing horizontal forces are present. A simple 3-hinged arch will do as an example; that is, two inclined rods on hinged supports, carrying a central point load.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
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