# Frames Question: Analyzing Hinged Joints without Given Horizontal Forces

• theman408
In summary, the conversation discusses the possibility of assuming zero horizontal forces in a frame with hinged joints when cutting a piece without given horizontal forces. The speaker suggests always verifying forces with an equilibrium equation and provides an example of a pin-jointed frame with only vertical loads but balancing horizontal forces. They also offer to draw a sketch to clarify the concept further.
theman408
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?

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.

## 1. What is statics and why is it important in frames?

Statics is a branch of mechanics that deals with the study of objects at rest or in a state of constant motion. It is important in frames because it helps us understand the forces and torques acting on a frame, and how these forces affect the stability and equilibrium of the structure.

## 2. How do we determine the reactions at supports in a frame?

The reactions at supports in a frame can be determined using the equations of static equilibrium, which state that the sum of all forces acting on a body must be equal to zero, and the sum of all torques acting on a body must also be equal to zero.

## 3. What are the different types of frames?

There are three main types of frames: pin-connected frames, rigid-jointed frames, and frames with a combination of pin connections and rigid joints. These types have different properties and require different methods of analysis.

## 4. How do we calculate the internal forces in a frame?

The internal forces in a frame can be calculated using the method of joints or the method of sections. The method of joints involves analyzing the forces at each joint in the frame, while the method of sections involves cutting the frame into sections and analyzing the forces and moments acting on the cut section.

## 5. Can statics be applied to real-life structures?

Yes, statics is commonly used in the design and analysis of real-life structures such as buildings, bridges, and other types of frames. By understanding and applying the principles of statics, engineers can ensure that these structures are safe, stable, and able to withstand the forces acting on them.

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