## Fixed end moment calculator

## Sign Conventions

- Downward loads are considered as positive and vice versa.
- Upward reactions are considered positive and vice versa.
- Anticlockwise moment loading and anticlockwise moment reaction is considered positive and vice versa.

## Fixed end moment point load

This fixed end moment calculator is programmed to find fixed end moment for eccentric point load and due to concentrated point load moment.

Step 1: Select desired units from metric system and imperial system of units.

Step 2: Select the type of load from Point load and Moment of Calculator 2.

Step 3: Define the length of the beam (L)

Step 4: Load intensity of the point load or concentrated moment.

Step 5: Distance ‘a’ at which the load is acting.

For fixed end moment for point load at centre put distance ‘a’ = L/2.

For fixed end moment for eccentric point load put user define distance ‘a’.

For fixed end moment with two point loads user can algebraically add the result of single point load acting at two different locations.

### Fixed end moment for eccentric point load formula

Parameter

Values

Moment at A

Moment at B

### Fixed end moment for moment load formula

Parameter

Values

Moment at A

Moment at B

## Fixed end moment for uniformly distributed load (udl)

Fixed end moment for udl can be calculated by Calculator 1 by selecting type of load as UDL.

Fixed end moment for uniformly distributed load on entire span is calculated by keeping distance ‘a’ = 0 and distance ‘b’ = L. Fixed end moment for member carrying udl on entire span is given by following formula.

### Fixed end moment for UDL on entire span formula

Parameter

Values

Moment at A

Moment at B

## Fixed moment for uniformly varying load (UVL)

Fixed end moment for uniformly varying load (uvl) can be calculated by calculator 1 by selecting type of load as UDL + UVL or as triangular load.

For a right sided uvl keep w2=0 and for a left sided uvl keep w1=0 in load type (UDL+UVL).

If you are using load type as Triangular, for right sided uvl keep distance ‘a’ = distance ‘b’. Alternatively for left sided uvl keep distance ‘b’ = distance ‘c’.

### Fixed end moment for uniformly varying load (UVL) Right sided formula

Parameter

Values

Moment at A

Moment at B

### Fixed end moment for uniformly varying load (UVL) Left sided formula

Parameter

Values

Moment at A

Moment at B

## Fixed end moment for trapezoidal loading

Fixed end moment for trapezoidal loading can be calculated by selecting load type as Trapezoidal in ‘Calculator 1’.

Trapezoidal load required user to input two load intensities and four distances ‘a’, ‘b’, ‘c’ and ‘d’.

Trapezoidal loading is a versatile loading and can be converted into an udl, uvl or even a triangular loading.

It shall be noted that distributed loading cannot be converted to point loading or concentrated loading, as concentrated loading indicated a discontinuity which is exactly opposite of a distributed function.