beam_continu_frontend

An experimental program for structural engineering application

Continuous Beam Calculator

Purpose: compute / plot digrams: deflection, slope, bending moment, and shear force
Compatible web browsers: (Google) Chrome, Safari, Opera

Beam's properties and its arrangement

Two-span stepped continuous beam

Input data for beam properties:

Description	Symbol	Input value
Full continuous beam length, L = L₁+L₂ (m)	L =	12
Positioning of intermediate support, at this percentage of full length L: L₁ = c*L/100 ; L₂ = L-L₁	c =	50
Beam's section area moment of inertia (x 10^-6 m⁴)	I =	50.0
Young's modulus (x 10⁹ N/m²)	E =	200.0

Beam's ends support types

Choices	Support type
pin - roller
fixed - fixed
fixed - roller
roller - fixed
free - fixed
fixed - free
guided - fixed
fixed - guided

Beam's intermediate support

Select support type

Support type	Deflection	Slope	Bending reaction	Vertical force reaction
horizontal roller	0	yes	0	yes
vertical guided roller	yes	0	yes	0

Optional stepped-up segment settings

Multiplier (k) for k*EI of the stepped-up segment

Select value of k larger than 1.00 to enable stepped beam cases

Beam's cross section	Span 1 (k₁)	Span 2 (k₂)
Uniform beam	1.00	1.00
Stepped beam	1.25	1.25
Stepped beam	1.50	1.50
Stepped beam	1.75	1.75
Stepped beam	2.00	2.00

Position of stepped-up segment

Select position of stepped-up segment
(When k is larger than 1.00, the selected item will be considered)

Shape	Span 1	Span 2
	Center	Center
	Left end	Left end
	Both ends	Both ends
	Right end	Right end

Length of the stepped-up segment of the beam

If k is larger than 1.00, the selected length of stepped-up segment below will be considered.
For 'Both ends' case (2 stepped-up parts), the selected length is the sum of 2 parts.

Span 1	Span 2
1/4 × L₁	1/4 × L₂
1/3 × L₁	1/3 × L₂
1/2 × L₁	1/2 × L₂
3/4 × L₁	3/4 × L₂

Loading on beam

Multiple loads (max. 2 point, +2 UDL, and +2 bending loads) can be superposed on this beam.

Key diagram for point loads

Input data for 0-2 point loads:

		#1	#2	← check/uncheck to enable/disable load(s)
Point load (kN)	P =	+\|– 10.0	+\|– 10.0	← check to signify negative value of P ← slide to get the desired value of P ← current value of P (kN)
Distance from left (m)	a =	0.5	1.0	← slide to get the desired value of a ← current value of a (m); a ≤ L

Key diagram for UDLs

Input data for 0-2 distributed loads:

		#1	#2	← check/uncheck to enable/disable load(s)
Uniformly distributed load (kN/m)	q =	+\|–	+\|–	← check to signify negative value of q ← select a value for q
Left unfilled distance (m)	a =			← Condition: (a+b) < L
Right unfilled distance (m)	b =			← Condition: (a+b) < L

Key diagram for bending moments

Input data for 0-2 bending moment loads:

		#1	#2	← check/uncheck to enable/disable load(s)
Bending moment load (kN.m)	M =	+\|–	+\|–	← check to signify negative value of M ← select a value for M
Distance from left (m)	a =			← Condition: a ≤ L

Click 'Execute' button below to proceed:

Restart beam calculator